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Tytuł:
Algebraic forms of solutions of linear state equations for determined control vectors
Autorzy:
Porada, Ryszard
Mielczarek, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/376440.pdf
Data publikacji:
2020
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
state equation
solutions of state equations
algebraic forms
Opis:
Despite intensive development of numerical methods of resolution of ordinary differential equations, we still seek analytical solutions of these equations in the algebraic form. The analytical solution in an algebraic form, is very convenient in case of investigation of the course of solution in a large interval of changes of parameters, it also gives more qualitative informations. This concerns first of all linear equations which are the most often met models of physical objects. Important advantage of these solutions is also their open form regarding established state of the system. The paper proves existence of algebraic forms of solutions of control vectors with components: exponential, sinusoidal with different circular frequencies and sinusoidal multiple. Also solutions for other kind of control vectors which are mentioned in the literature are presented.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2020, 104; 75-86
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The maximum principle of Pontryagin in control of twolegged robot based on human walking system
Autorzy:
Żur, K. K.
Powiązania:
https://bibliotekanauki.pl/articles/955163.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
staw kolanowy
mięśnie stawu kolanowego
cykl Hamiltona
state equations
maximum principle
optimal conditions
discrete Hamilton function
Opis:
In the paper a hypothesis about state equations of human gait is presented. Instantaneous normalized power developed by human muscles at particular joints of a leg is a control vector in state equations of the human walking system. The maximum principle of Pontryagin in analysis of dynamic human knee joint was presented. The discrete Hamilton function of a knee joint is similar to a discrete square function of normalized power developed by muscles at the knee joint. The results satisfy optimal conditions and could be applied in control of exoskeleton and DAR type robot.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 407-417
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Testy diagnostyczne, grafy wiązań i równania stanu jako narzędzia oceny stanu technicznego urządzeń
Diagnostic Tests, Bond Graphs and State Equations as Tools in the Assessment of Technical Condition of Machines
Autorzy:
Grzebieniak, R.
Chybowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/360638.pdf
Data publikacji:
2005
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
test diagnostyczny
macierz boolowska
grafy wiązań
równania stanu
OMiUO 2005
diagnostic test
Boolean matrix
bond graphs
state equations
Opis:
Przedstawiono sposób wyznaczenia testu diagnostycznego metodą macierzy boolowskich. Zaprezentowano przykład wykorzystania testu diagnostycznego stworzonego metodą macierzy boolowskiej. Przedstawiono sposób tworzenia grafów wiązań i równań stanu, które mogą być narzędziem oceny stanu technicznego urządzeń.
This paper presents basic information on the structure of diagnostic tests used for the assessment of the technical state of parts and groups of technical systems. The Boolean matrix method is also demonstrated. The construction of bond graphs and state equations, which can be tools for the assessment of technical condition of machines has been presented.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2005, 5 (77); 247-255
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite-time SDRE control of F16 aircraft dynamics
Autorzy:
Chodnicki, Marcin
Pietruszewski, Paweł
Wesołowski, Mariusz
Stępień, Sławomir
Powiązania:
https://bibliotekanauki.pl/articles/2175113.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
aircraft modelling
state-dependent Riccati equations
finite-time optimal control
Opis:
This paper proposes a finite-time horizon suboptimal control strategy based on state-dependent Riccati equation (SDRE) to control of F16 multirole aircraft. Flight stabilizer control of super maneuverable aircraft is modelled and simulated. For aircraft modelling purpose a full 6 DOF model is considered and described by nonlinear state-space approach. Also a stable state-dependent parametrization (SDP) necessary for solution of the SDRE control problem is proposed. Solution of the SDRE control problem with adequate defined weighting matrices in performance index shows possibility of fast and optimal aircraft control in finite-time. The method in this form can be used for stabilization of aircraft flight and aerodynamics.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 557--576
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Studies of Nonlinear Sound Dynamics in Fluids Based on the Caloric Equation of State
Autorzy:
Perelomova, A.
Wojda, P.
Powiązania:
https://bibliotekanauki.pl/articles/177850.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear acoustics
parameters of nonlinearity
equations of state
Riemann wave
Opis:
The sound speed and parameters of nonlinearity B/A, C/A in a fluid are expressed in terms of coefficients in the Taylor series expansion of an excess internal energy, in powers of excess pressure and density. That allows to conclude about features of the sound propagation in fluids, the internal energy of which is known as a function of pressure and density. The sound speed and parameters of nonlinearity in the mixture consisting of boiling water and its vapor under different temperatures, are evaluated as functions of mass concentration of the vapor. The relations analogous to that in the Riemann wave in an ideal gas are obtained in a fluid obeying an arbitrary equation of state. An example concerns the van der Waals gases. An excess pressure in the reflected wave, which appears when standard or nonlinear absorption in a fluid takes place, is evaluated in an arbitrary fluid.
Źródło:
Archives of Acoustics; 2010, 35, 4; 619-633
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hourly identification and simulation of the TGE S.A. Day-Ahead Market system
Autorzy:
Marlęga, Radosław
Tchórzewski, Jerzy R.
Powiązania:
https://bibliotekanauki.pl/articles/31342745.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
equations of state
control system
Day-Ahead Market
identification
Polish Electricity Exchange
simulation
state space
Opis:
The paper presents selected research results concerning the identification and simulation of the TGE S.A. Day-Ahead Market (DAM) system of the day for electricity delivered and sold, listed for the following hours: 5:01-6:00, 11:01-12:00, 17:01-18:00 and 23:01-24:00 in 2019, which were obtained in the MATLAB and Simulink environment using the System Identification Toolbox. As a result of identification, four respective discrete parametric arx models were obtained, which were then subject to quality assessment. Then, a simulation model was built in the Simulink environment, which was used for simulation tests and for assessing the sensitivity of the model created using the data from 2019 as the basis and the data from 2020 for verification. The obtained results confirm the correctness of both the performed discrete parametric identification and the possibility of testing the quality of the model and its sensitivity with the use of the DAM system model in the MATLAB and Simulink environment.
Źródło:
Control and Cybernetics; 2022, 51, 4; 523-555
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Charakterystyki detonacyjne FOX-7 i równania stanu jego produktów detonacji
Detonation characteristics of FOX-7 and equations of state for its detonation products
Autorzy:
Trzciński, W. A.
Cudziło, S.
Chyłek, Z.
Szymańczyk, L.
Powiązania:
https://bibliotekanauki.pl/articles/210215.pdf
Data publikacji:
2007
Wydawca:
Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego
Tematy:
materiały wybuchowe
detonacja
równania stanu produktów detonacji
explosives
detonation
equations of state of detonation products
Opis:
Dokonano optymalizacji metody rekrystalizacji nowego materiału wybuchowego DADNE (FOX-7) pod kątem uzyskania drobnoziarnistego produktu o obniżonej wrażliwości na bodźce mechaniczne. Zbadano wrażliwość otrzymanego produktu na falę uderzeniową. Natomiast ciśnienie detonacji oraz równania stanu dla produktów detonacji wyznaczono dla gruboziarnistego FOX-7.
Optimization of the recrystallization method of the new explosive FOX-7 has been done to obtain a fine-grained product of low-sensitivity to the mechanical stimuli. The sensitivity to shock wave has been investigated for the obtained product. The detonation pressure and equations of state for the detonation products of coarse-grained FOX-7 have been determined, as well.
Źródło:
Biuletyn Wojskowej Akademii Technicznej; 2007, 56, 2; 283-296
1234-5865
Pojawia się w:
Biuletyn Wojskowej Akademii Technicznej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling 3D steam turbine flow using thermodynamic properties of steam IAPWS-95
Autorzy:
Rusanow, A. V.
Lampart, P.
Pashchenko, N. V.
Rusanov, R. A.
Powiązania:
https://bibliotekanauki.pl/articles/258730.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
three-dimensional viscous flow
steam turbine
low-pressure cylinder
sets of equations of state for water and steam IAPWS-95
approximations of equations
Opis:
An approach to approximate equations of state for water and steam (IAPWS-95) for the calculation of three-dimensional flows of steam in turbomachinery in a range of operation of the present and future steam turbines is described. Test calculations of three-dimensional viscous flow in an LP steam turbine using various equations of state (perfect gas, Van der Waals equation, equation of state for water and steam IAPWS-95) are made. The comparison of numerical results with experimental data is also presented.
Źródło:
Polish Maritime Research; 2016, 1; 61-67
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some new phenomena in state-constrained optimal control if ODEs as well as PDEs are involved
Autorzy:
Pesch, H. J.
Rund, A.
Wahl, V.
Wendl, S.
Powiązania:
https://bibliotekanauki.pl/articles/969885.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control of partial differential equations
ODE-PDE-constrained optimization
state constraints
non-local state-constraints
integro-state constraints
optimal control problems for integro-differential equations
jump conditions
Opis:
In this paper we investigate a new class of optimal control problems with ODE as well as PDE constraints. We would like to call them "hypersonic rocket car problems", since they were inspired, on the one hand, by the well known rocket car problem from the early days of ODE optimal control, on the other hand by a recently investigated flight path trajectory optimization problem for a hypersonic aircraft. The hypersonic rocket car problems mimic the latter's coupling structure, yet in a strongly simplified form. They can therefore be seen as prototypes of ODE-PDE control problems. Due to their relative simplicity they allow to a certain degree to obtain analytical solutions and insights into the structure of the adjoints, which would currently be unthinkable with complex real life problems. Our main aim is to derive and verify the necessary optimality conditions. Most of the obtained results bear a lot of similarities with state constrained ODE optimal control problems, yet we also observed some new phenomena.
Źródło:
Control and Cybernetics; 2010, 39, 3; 647-660
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A quantitative management support model of a certain production - supply system : boundary conditions
Autorzy:
Galanc, T.
Kołwzan, W.
Pieronek, J.
Powiązania:
https://bibliotekanauki.pl/articles/406454.pdf
Data publikacji:
2012
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
production-supply system
process
boundary state
system of differential equations
Opis:
The paper is dedicated to constructing a method for the probabilistic analysis of the functioning a certain production-supply system. Previously a set of partial differential equations has been derived satisfied by the joint density function of the state of a three-dimensional process characterizing the functioning of the system. The operation of the system at the boundaries of the stock levels is analyzed. Two sets of differential equations have been derived, one describing the operation of the system when the stock level is zero and one describing the operation of the system when the stocks are full.
Źródło:
Operations Research and Decisions; 2012, 22, 2; 5-13
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A quantitative management support model for a certain production supply system in non-extreme states
Autorzy:
Galanc, T.
Kołwzan, W.
Pieronek, J.
Powiązania:
https://bibliotekanauki.pl/articles/406677.pdf
Data publikacji:
2012
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
production supply system
process
non-extreme state
system of differential equations
Opis:
The paper is devoted to building a probabilistic method of analyzing the operation of a certain production supply system. The analysis is carried out for non-extreme states of the level in store, into which two separate streams of production (the product) are directed. A system of partial differential equations describing this case was derived which is satisfied by the joint density function defining the probabilities of states of the three-dimensional process characterizing the system’s functioning.
Źródło:
Operations Research and Decisions; 2012, 22, 1; 5-12
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay
Autorzy:
Arjunan, M. M.
Nadaf, N. Y.
Powiązania:
https://bibliotekanauki.pl/articles/255760.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
damped second order differential equations
impulsive differential equations
controllability
state-dependent delay
cosine function
mild solution
fixed point
Opis:
In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.
Źródło:
Opuscula Mathematica; 2014, 34, 3; 503-522
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ground states of coupled critical Choquard equations with weighted potentials
Autorzy:
Zhu, Gaili
Duan, Chunping
Zhang, Jianjun
Zhang, Huixing
Powiązania:
https://bibliotekanauki.pl/articles/2048890.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
ground state
Choquard equations
Hardy-Littlewood-Sobolev inequality
lower critical exponent
Opis:
In this paper, we are concerned with the following coupled Choquard type system with weighted potentials [formula] where N ≥ 3, μ1, μ2, β > 0 and V1(x), V2(x) are nonnegative functions. Via the variational approach, one positive ground state solution of this system is obtained under some certain assumptions on V1(x), V2(x) and Q(x). Moreover, by using Hardy’s inequality and one Pohozǎev identity, a non-existence result of non-trivial solutions is also considered.
Źródło:
Opuscula Mathematica; 2022, 42, 2; 337-354
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
Autorzy:
Meyer, C.
Powiązania:
https://bibliotekanauki.pl/articles/971011.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie eliptyczne
aproksymacja numeryczna
linear quadratic optimal control problems
elliptic equations
state constraints
numerical approximation
Opis:
We consider a linear-quadratic elliptic optimal control problem with pointwise state constraints. The problem is fully discretized using linear ansatz functions for state and control. Based on a Slater-type argument, we investigate the approximation behavior for mesh size tending to zero. The obtained convergence order for the L²-error of the control and for H 1-error of the state is 1 - ε in the two-dimensional case and 1/2 - ε in three dimensions, provided that the domain satisfies certain regularity assumptions. In a second step, a state-constrained problem with additional control constraints is considered. Here, the control is discretized by constant ansatz functions. It is shown that the convergence theory can be adapted to this case yielding the same order of convergence. The theoretical findings are confirmed by numerical examples.
Źródło:
Control and Cybernetics; 2008, 37, 1; 51-83
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay differential equations: theory and applications
Autorzy:
Bodnar, Marek
Piotrowska, Monika Joanna
Powiązania:
https://bibliotekanauki.pl/articles/748670.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
delay differential equations, uniqueness of solutions, stability of s steady state, Hopf bifurcation, mathematical models
Opis:
 Równania różniczkowe z opóźnionym argumentem pojawiają się w modelach matematycznych dotyczących zagadnień biologicznych, biochemicznych czy medycznych. Chociaż sama struktura równań jest podobna do równań różniczkowych zwyczajnych, to jednak istnieje zasadnicza różnica: równanie czy układ równań z opóźnieniem jest problemem nieskończeniewymiarowym z odpowiadającą mu przestrzenią fazową będącą przestrzenią funkcyjną — zwykle rozważamy przestrzeń funkcji ciągłych. W tej pracy przestawiamy podstawową teorię dotyczącą tej klasy równań, jak również kilka przykładów zastosowań równań z opóźnieniem do opisu zagadnień biologicznych, medycznych i biochemicznych.Słowa kluczowe: równania różniczkowe z opóźnieniem, jednoznaczność rozwiązań, stabilność stanu stacjonarnego, bifurkacja Hopfa, modele matematyczne
Delay differential equations are used in mathematical models of biological, biochemical or medical phenomenons. Although the structure of these equations is similar to ordinary differential equations, the crucial difference is that a delay differential equation (or a system of equations) is an infinite dimensional problem and the corresponding phase space is a functional space — usually the space of continuous functions is considered.In this paper we present the basic theory of delay differential equations as well as some example of applications to models of biological, medical and biochemical systems.
Źródło:
Mathematica Applicanda; 2010, 38, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Classes of relativistic stars with quadratic equation of state
Autorzy:
Malaver, Manuel
Powiązania:
https://bibliotekanauki.pl/articles/1194131.pdf
Data publikacji:
2016
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Charge anisotropic matter distribution
Charge density
Field equations
Gravitational potential
Radial pressure
quadratic equation of state
Opis:
In this paper, we found new exact solutions to the Einstein-Maxwell system of equations with charged anisotropic matter distribution considering quadratic equation of state. We specify the gravitational potential Z(x) that depends of a adjustable parameter n and that allow integrate analytical the field equations in order to calculate the energy density, the radial pressure, the anisotropy, charge density and the mass function for different values of n. The obtained solutions can be written in terms of elementary and polynomial functions.
Źródło:
World Scientific News; 2016, 57; 58-68
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact penalization of pointwise constraints for optimal control problems
Autorzy:
Casas, E.
Powiązania:
https://bibliotekanauki.pl/articles/970884.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
semilinear elliptic equations
pointwise state constraints
exact penalization
first and second order optimality conditions
Opis:
In this paper we consider a control problem governed by a semilinear elliptic equation with pointwise control and state constraints. We analyze the existence of an exact penalization of the state constraints. In particular, we prove that the first and second order optimality conditions imply the existence of such a penalization. Finally, we prove some extra regularity of the strict local minima of the control problem, assuming the existence of an exact penalization for them.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1131-1150
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Autorzy:
Foryś, Urszula
Żołek, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/1208222.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
VT-complex
antibody
antigen
B-cell
plasma cell
stationary state
stability
ordinary differential equations
lymphocyte
phase space
Opis:
Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Źródło:
Applicationes Mathematicae; 2000, 27, 1; 103-111
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite element error analysis for state-constrained optimal control of the Stokes equations
Autorzy:
Los Reyes, J. C. de
Meyer, C.
Vexler, B.
Powiązania:
https://bibliotekanauki.pl/articles/969607.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie Stokesa
aproksymacja numeryczna
element skończony
linear quadratic optimal control problems
Stokes equations
state constraints
numerical approximation
finite elements
Opis:
An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise inequality constraints on the state and the control. The paper is concerned with the full discretization of the control problem allowing for different types of discretization of both the control and the state. For instance, piecewise linear and continuous approximations of the control are included in the present theory. Under certain assumptions on the L∞-error of the finite element discretization of the state, error estimates for the control are derived which can be seen to be optimal since their order of convergence coincides with the one of the interpolation error. The assumptions of the L∞-finite-eleinent-error can be verified for different numerical settings. Finally the results of two numerical experiments are presented.
Źródło:
Control and Cybernetics; 2008, 37, 2; 251-284
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-extreme variant of support management model of a production-supply system with the structural process of product supply
Autorzy:
Galanc, Tadeusz
Kołwzan, Wiktor
Pieronek, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/406393.pdf
Data publikacji:
2019
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
production-supply system
process
product supply
non-extremal state
set of equations
system produkcji
system dostaw
proces
dostawa produktu
Opis:
The paper is dedicated to building a probabilistic analysis method of functioning a productionsupply system with the structural process of product supply. This analysis is carried out in the nonextreme variant of warehouse filling level to which two independent streams of production (of the product) are directed by means of a transport subsystem. For this variant, four sets of equations that fulfilled the density function determining state probabilities of a multidimensional process characterizing operations of the system examination were derived.
Źródło:
Operations Research and Decisions; 2019, 29, 2; 43-53
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear state observers and extended Kalman filters for battery systems
Autorzy:
Rauh, A.
Butt, S. S.
Aschemann, H.
Powiązania:
https://bibliotekanauki.pl/articles/330696.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
observer
state estimation
Riccati equations
extended Kalman filter
parameter estimation
obserwator
estymacja stanu
równanie różniczkowe Riccatiego
filtr Kalmana
estymacja parametryczna
Opis:
The focus of this paper is to develop reliable observer and filtering techniques for finite-dimensional battery models that adequately describe the charging and discharging behaviors. For this purpose, an experimentally validated battery model taken from the literature is extended by a mathematical description that represents parameter variations caused by aging. The corresponding disturbance models account for the fact that neither the state of charge, nor the above-mentioned parameter variations are directly accessible by measurements. Moreover, this work provides a comparison of the performance of different observer and filtering techniques as well as a development of estimation procedures that guarantee a reliable detection of large parameter variations. For that reason, different charging and discharging current profiles of batteries are investigated by numerical simulations. The estimation procedures considered in this paper are, firstly, a nonlinear Luenberger-type state observer with an offline calculated gain scheduling approach, secondly, a continuous-time extended Kalman filter and, thirdly, a hybrid extended Kalman filter, where the corresponding filter gains are computed online.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 539-556
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Symulacja zjawiska pierścienia wirowego wokół wirnika śmigłowca w oparciu o rozwiązanie równań Naviera-Stokesa z uproszczonym modelem wirnika w postaci powierzchni skoku ciśnienia
Vortex ring state around helicopter rotor simulation using Navier-Stokes equations and actuator disc model
Autorzy:
Stalewski, W.
Dziubiński, A.
Powiązania:
https://bibliotekanauki.pl/articles/212751.pdf
Data publikacji:
2006
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Lotnictwa
Tematy:
symulacja zjawiska pierścienia wirowego
wirnik śmigłowca
równania Naviera-Stokesa
uproszczony model wirnika
vortex ring state
helicopter rotor simulation
Navier-Stokes equations
Opis:
W pracy omówiono zjawisko pierścienia wirowego oraz przedstawiono metodę komputerowej symulacji tego zjawiska. Metoda bazuje na rozwiązaniu równań Naviera-Stokesa opisujących niestacjonarny opływ śmigłowca wykonującego manewry. Zastosowano uproszczony model wirnika śmigłowca bazujący na powierzchni skoku ciśnienia. Symulacje przeprowadzono przy wykorzystaniu komercyjnego programu FLUENT rozwiązującego równania Naviera-Stokesa metodą objętości skończonych. Przedstawiono wyniki symulacji typowego lotu śmigłowca wprowadzającego go w stan pierścienia wirowego oraz manewrów umożliwiających wyjście z tego stanu.
This work contains the simulations results of Vortex Ring State appearance and evolution around main rotor of a helicopter. These calculations were based on solution of Navier-Stokes equations using the Fluent code. During this simulation An Actuator Disc model of fan has been used. This model assumes that a fan is a pressure jump generating surface. Two mashes has been used during this simulation: three dimensional and axisymmetrical two-dimensional. The most of the cases has been calculated using steady flow solutions, but unsteady model also has been applied. Main goal of this work was a calibration of model, in terms of simplifications influence on results, and also in comparison with experimental results. Two different conditions of flight has been considered: hover and vertical descent with various velocities along axis of rotor. The results has been analyzed to determinate Vortex Ring State conditions and confirmed, that Actuator Disc model can be used to qualitative analisys of VRS phenomena. It is assumed, that after a proper calibration this model can be used in further flight safety methods of VRS elimination research.
Źródło:
Prace Instytutu Lotnictwa; 2006, 1-2 (184-185); 65-71
0509-6669
2300-5408
Pojawia się w:
Prace Instytutu Lotnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modelling of the process of pipeline deformation through which gas-liquid mixtures with aggressive components are transported
Autorzy:
Oliynyk, A. P.
Feshanych, L. I.
Grygorchuk, G. V.
Powiązania:
https://bibliotekanauki.pl/articles/2172155.pdf
Data publikacji:
2022
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
tense state
pipeline
viscous fluid flow
dynamic viscosity
Navier-Stokes equations
gas mixture
rurociąg
lepkość dynamiczna
równania Naviera-Stokesa
mieszanka gazowa
Opis:
Purpose Mathematical modelling of the process of deformation of pipeline, transporting gas-liquid mixtures with aggressive components and a comparative analysis of the value of the specified velocity depending on the dynamic viscosity of the multicomponent gas mixture is conducted. Design/methodology/approach A mathematical model of the process of leakage of the transported product due to the loss of tightness of the pipe based on the system of Navier-Stokes equations with boundary conditions with considering the geometry of the leakage zones and the value of the leakage rate is implemented. Findings Models of the process of deformation of the pipeline due to displacements of a certain set of surface points by specifying different types of functions, describing the geometry of deformed sections are constructed. The method of calculating the tensely deformed state based on the data on the movement of surface points by comparing different ways of setting functions, taking into account the actual configuration of sections and axes is improved. The change of flow characteristics in the pipeline when changing the structure of the mix, transported by studying of influence of change of dynamic viscosity is investigated; The method of calculating the rate of leakage of the mixture in case of loss of tightness due to the occurrence of critical stresses in the pipe material is improved. Research limitations/implications Building a model of the deformation process, information about the nature, duration of forces and loads affecting the pipeline is not used. The law of the pipeline movement was constructed having taken into account the deformation of the sections in three directions. The necessity to take wind loads into account, estimating the real tensely deformed state was displayed. Practical implications Using the method of calculating the tensely deformed state based on the data on the movement of surface points by comparing different ways of setting functions, taking into account the actual configuration of sections and axes. Originality/value According to the computational algorithms created on the basis of the specified models, the calculations of the tense state of the pipelines and the flow rate of the mixture depending on its composition were performed. An analysis of the results of calculations - tense intensity and flow rate depending on the dynamic viscosity of the mixture is performed. The influence on the flow parameters - the flow rate of the mixture and the force of hydraulic resistance - changes in the dynamic viscosity of the mixture is analyzed.
Źródło:
Journal of Achievements in Materials and Manufacturing Engineering; 2022, 111, 2; 57--63
1734-8412
Pojawia się w:
Journal of Achievements in Materials and Manufacturing Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the classical implicit function theorem in sensitivity analysis of parametric optimal control
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/206654.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równania różniczkowe nieliniowe
różniczkowalność rozwiązań
sterowanie optymalne parametryczne
differentiability of solutions
implicit function theorem
nonlinear ordinary differential equations
parametric optimal control
state constraints
Opis:
A family {(O[sub h])} of parametric optimal control problems for nonlinear ODEs is considered. The problems are subject to pointwise inequality type state constraints. It is assumed that the reference solution is regular. The original problems (O[sub h]) are substituted by problems [...] subject to equality type constraints with the sets of activity depending on the parameter. Using the classical implicit function theorem, conditions are derived under which stationary points of [...] are Frechet differentiable functions of the parameter. It is shown that, under additional conditions, the stationary points of [...] correspond to the solutions and Lagrange multipliers of (O[sub h]9).
Źródło:
Control and Cybernetics; 1998, 27, 3; 335-352
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs
Autorzy:
Bartecki, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/330464.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
distributed parameter system
hyperbolic equations
approximation model
state space
transfer function
układ o parametrach rozłożonych
równanie hiperboliczne
model aproksymacyjny
przestrzeń stanu
funkcja przesyłowa
Opis:
Two approximate representations are proposed for distributed parameter systems described by two linear hyperbolic PDEs with two time- and space-dependent state variables and two collocated boundary inputs. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a finite number of dynamical subsystems (sections). Each section of the approximation model is described by state-space equations with matrix-valued state, input and output operators, or, equivalently, by a rational transfer function matrix. The cascade interconnection of a number of sections results in the overall approximation model expressed in finite-dimensional state-space or rational transfer function domains, respectively. The discussion is illustrated with a practical example of a parallel-flow double-pipe heat exchanger. Its steady-state, frequency and impulse responses obtained from the original infinite-dimensional representation are compared with those resulting from its approximate models of different orders. The results show better approximation quality for the “crossover” input–output channels where the in-domain effects prevail as compared with the “straightforward” channels, where the time-delay phenomena are dominating.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 475-491
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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