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Wyświetlanie 1-15 z 74
Tytuł:
Analysis of some dual properties in discrete dynamic systems
Autorzy:
Zhirabok, A.
Powiązania:
https://bibliotekanauki.pl/articles/908397.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ liniowy
układ nieliniowy
system dynamiczny
system dyskretny
dwoistość
nonlinear system
linear system
algebraic approach
error correction
reachability
duality
Opis:
The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 297-308
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A geometric approach to structural model matching by output feedback in linear impulsive systems
Autorzy:
Zattoni, E.
Powiązania:
https://bibliotekanauki.pl/articles/330301.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear impulsive system
hybrid system
model matching
disturbance decoupling
geometric approach
structural properties
układ liniowy impulsowy
układ hybrydowy
dopasowanie modelu
właściwości strukturalne
Opis:
This paper provides a complete characterization of solvability of the problem of structural model matching by output feedback in linear impulsive systems with nonuniformly spaced state jumps. Namely, given a linear impulsive plant and a linear impulsive model, both subject to sequences of state jumps which are assumed to be simultaneous and measurable, the problem consists in finding a linear impulsive compensator that achieves exact matching between the respective forced responses of the linear impulsive plant and of the linear impulsive model, by means of a dynamic feedback of the plant output, for all the admissible input functions and for all the admissible sequences of jump times. The solution of the stated problem is achieved by reducing it to an equivalent problem of structural disturbance decoupling by dynamic feedforward. Indeed, this latter problem is formulated for the so-called extended linear impulsive system, which consists of a suitable connection between the given plant and a modified model. A necessary and sufficient condition for the solution of the structural disturbance decoupling problem is first shown. The proof of sufficiency is constructive, since it is based on the synthesis of the compensator that solves the problem. The proof of necessity is based on the definition and the geometric properties of the unobservable subspace of a linear impulsive system subject to unequally spaced state jumps. Finally, the equivalence between the two structural problems is formally established and proven.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 25-38
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dyssypacja energii w układzie liniowym na przykładzie przepławki ryglowej na rzece Tuszymce
Linear energy dissipation assessment based on rock fishway on Tuszymka River
Autorzy:
Wyrebek, M.
Florek, J.
Powiązania:
https://bibliotekanauki.pl/articles/61717.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Stowarzyszenie Infrastruktura i Ekologia Terenów Wiejskich PAN
Tematy:
rzeki
rzeka Tuszymka
przeplawki ryglowe
cieki wodne
uklad liniowy
dyssypacja energii
ruch wody
przeplyw wody
predkosc przeplywu
Źródło:
Infrastruktura i Ekologia Terenów Wiejskich; 2015, IV/1
1732-5587
Pojawia się w:
Infrastruktura i Ekologia Terenów Wiejskich
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
Autorzy:
Weiss, G.
Staffans, O. J.
Tucsnak, M.
Powiązania:
https://bibliotekanauki.pl/articles/908320.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation
Opis:
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An interval Kalman filter enhanced by lowering the covariance matrix upper bound
Autorzy:
Tran, Tuan Anh
Jauberthie, Carine
Trave-Massuyés, Louise
Lu, Quoc Hung
Powiązania:
https://bibliotekanauki.pl/articles/1838206.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
uncertain linear systems
Kalman filter
interval analysis
estimation
covariance matrix
układ liniowy
filtr Kalmana
analiza interwałowa
macierz kowariancji
Opis:
This paper proposes a variance upper bound based interval Kalman filter that enhances the interval Kalman filter based on the same principle proposed by Tran et al. (2017) for uncertain discrete time linear models. The systems under consideration are subject to bounded parameter uncertainties not only in the state and observation matrices, but also in the covariance matrices of the Gaussian noises. By using the spectral decomposition of a symmetric matrix and by optimizing the gain matrix of the proposed filter, we lower the minimal upper bound on the state estimation error covariance for all admissible uncertainties. This paper contributes with an improved algorithm that provides a less conservative error covariance upper bound than the approach proposed by Tran et al. (2017). The state estimates are determined using interval analysis in order to enclose the set of all possible solutions of the classical Kalman filter consistent with the uncertainties.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 259-269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zeros in Discrete-Time Mimo Lti Systems and the Output-Zeroing Problem
Autorzy:
Tokarzewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/911213.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
wielowymiarowy układ liniowy
system dyskretny
linear multivariable systems
discrete-time systems
invariant zeros
Davison-Wang definition
output-zeroing problem
Opis:
A geometric interpretation of invariant zeros of MIMO LTI discrete-time systems is provided. The zeros are treated as the triples: complex number, state zero direction, input zero direction. Such a treatment is strictly connected with the output zeroing problem and in that spirit the zeros can be easily interpreted even in the degenerate case (i.e. when each complex number constitutes an invariant zero). Simply, in the degenerate case, to each complex number we can assign an appropriate real initial condition and an appropriate real input sequence which produce a non-trivial solution to the state equation and a zero system response. Clearly, when zeros are treated merely as complex numbers, such an interpretation is impossible. The proposed definition of invariant zeros is compared with other commonly known definitions. It is shown that each Smith zero of the system matrix is also an invariant zero in the sense of the definition adopted in the paper. On the other hand, simple numerical examples show that the considered definition of invariant zeros and the Davison-Wang definition are not comparable. The output-zeroing problem for systems decouplable by state feedback is also described.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 537-557
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete-time Markovian jump linear systems
Autorzy:
Szajowski, K.
Koning, W.
Powiązania:
https://bibliotekanauki.pl/articles/205971.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
proces Markowa
sterowanie optymalne
układ optymalny liniowy
delayed observation
detectability
jump linear systems
Markov chain
optimal control
stabilizability
Opis:
The paper considers a problem of optimal control of a linear system with the parameters dependent on the states of a Markov chain. The cost criterion is quadratic in the controls and states of the system. The criterion parameters also depend on the states of the Markov chain. Two models of observation of the Markov chain are adopted - delay for one step and no delay. It is shown that under appopriate mean square detectability and stabilizability conditions the infinite horizon optimal control problem for the general case of Markovian jump linear quadratic systems has a unigue mean square stabilizing solution. Necessary and sufficient conditions are given to determine if a system is mean square stabilizable.
Źródło:
Control and Cybernetics; 1998, 27, 1; 63-80
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
J-energy preserving well-posed linear systems
Autorzy:
Staffans, O. J.
Powiązania:
https://bibliotekanauki.pl/articles/908123.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ zachowawczy
system liniowy
równanie Lyapunova
równanie różniczkowe Riccatiego
well-posed linear systems
system node
transfer function
Lax-Phillips semigroup
dissipative systems
conservative system
model theory
conservative realization
J-energy-preserving system
Lyapunov equations
Riccati equation
Opis:
The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Charakterystyki mocy strat energetycznych w wybranych elementach układów hydraulicznych
Characteristics of Power of Energy Losses in Selected Elements in Hydraulic System
Autorzy:
Skorek, G.
Powiązania:
https://bibliotekanauki.pl/articles/342243.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Morski w Gdyni. Wydawnictwo Uniwersytetu Morskiego w Gdyni
Tematy:
moc
straty energetyczne
sterowanie proporcjonalne
układ hydrostatyczny
silnik hydrauliczny liniowy
power
energy losses
proportional control
hydrostatic system
hydraulic cylinder
Opis:
W artykule porównano dwa układy ze sterowaniem dławieniowym, które zasilane były pompą o stałej wydajności. Poruszono tematykę związaną ze stratami energetycznymi układów hydrostatycznych z silnikami hydraulicznymi liniowymi sterowanymi proporcjonalnie rozdzielaczem proporcjonalnym. Przedstawiono i porównano wykresy mocy strat dwóch układów hydraulicznych pracujących przy tych samych parametrach prędkości i obciążenia siłownika, lecz różniących się strukturą oraz możliwością oszczędności energii.
In this article two hydrostatic systems with a throttling steering fed by a constant capacity pump were compared. The subject matter connected with an energy losses of hydrostatic systems with hydraulic linear motors controlled by proportional directional valve was presented. Diagrams of power losses of two hydraulic systems worked at the same parameters of a speed and a load of hydraulic linear motor, which were different due to structure and ability of an energy saving, were presented and were compared.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Gdyni; 2017, 100; 164-178
1644-1818
2451-2486
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Gdyni
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Energy saving systems of hydrostatic drives for ship deck machines
Autorzy:
Skorek, G.
Powiązania:
https://bibliotekanauki.pl/articles/27315951.pdf
Data publikacji:
2018
Wydawca:
STE GROUP
Tematy:
efektywność energetyczna
siła strat
układ hydrostatyczny
sterowanie dławieniem
hydrauliczny silnik liniowy
energy efficiency
power of losses
hydrostatic system
throttling steering
hydraulic linear motor
Opis:
A control system with a proportional directional throttling control valve or a directional control servo valve, controlling a cylinder (linear hydraulic motor) is used in the ship steering gear drive, in the controllable pitch propeller control, in the variable capacity pump control system for hydraulic deck equipment motors or fixed pitch propellers in small ships (for example ferries). Energy savings in a constant capacity pump operation can be achieved by means of overflow valve controlled by the oil outlet pressure between the directional throttling control valve and the cylinder. Although structural volumetric losses cannot be eliminated in such a system, but it is possible to reduce considerably structural pressure losses, mechanical losses and volumetric losses in the pump, and mechanical losses in the cylinder too. The paper discusses these energy savings using an earlier developed by Paszota mathematical model of losses in elements, the energy efficiency of the system and the operating range of the cylinder. The paper also presents a comparison of the energy behavior of two widespread structures of hydrostatic systems: a standard individual systems with a throttling steering fed by a constant capacity pump. Both system solutions are described and equations of the total efficiency η of the system are presented. Diagrams of energy efficiency of two hydraulic systems working at the same parameters of a speed and a load of hydraulic linear motor, which were different due to structure and ability of energy saving, were presented and compared.
Źródło:
New Trends in Production Engineering; 2018, 1, 1; 507-514
2545-2843
Pojawia się w:
New Trends in Production Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An LMI-based heuristic algorithm for vertex reduction in LPV systems
Autorzy:
Sanjuan, Adrián
Rotondo, Damiano
Nejjari, Fatiha
Sarrate, Ramon
Powiązania:
https://bibliotekanauki.pl/articles/331436.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear parameter varying
linear matrix inequality
Gershgorin circles
gain scheduling
controller design
układ liniowy niestacjonarny
liniowa nierówność macierzowa
twierdzenie Gerszgorina
harmonogramowanie wzmocnienia
Opis:
The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 725-737
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
Autorzy:
Sánchez, Marcelino
Bernal, Miguel
Powiązania:
https://bibliotekanauki.pl/articles/330548.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
robust control
uncertain system
nonlinear system
linear parameter-varying systems
LMIs
sterowanie odporne
układ niepewny
układ nieliniowy
układ liniowy niestacjonarny
Opis:
This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 275-283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
BIBO stabilisation of continuous-time Takagi–Sugeno systems under persistent perturbations and input saturation
Autorzy:
Salcedo, J. V.
Martínez, M.
García-Nieto, S.
Hilario, A.
Powiązania:
https://bibliotekanauki.pl/articles/330698.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear matrix inequalities
fuzzy system
nonlinear system
input saturation
disturbance
liniowe nierówności macierzowe
układ rozmyty
układ liniowy
nasycenie wejściowe
Opis:
This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations. It is assumed that all the states of the Takagi–Sugeno (TS) fuzzy model representing a non-linear system are measurable. Such controllers achieve bounded input bounded output (BIBO) stabilisation in closed loop based on the computation of inescapable ellipsoids. These ellipsoids are computed with linear matrix inequalities (LMIs) that guarantee stabilisation with input saturation and persistent perturbations. In particular, two kinds of inescapable ellipsoids are computed when solving a multiobjective optimization problem: the maximum volume inescapable ellipsoids contained inside the validity domain of the TS fuzzy model and the smallest inescapable ellipsoids which guarantee a minimum *-norm (upper bound of the 1-norm) of the perturbed system. For every initial point contained in the maximum volume ellipsoid, the closed loop will enter the minimum *-norm ellipsoid after a finite time, and it will remain inside afterwards. Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 457-472
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders
Autorzy:
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/330617.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
minimum energy control
descriptor system
fractional system
discrete-time linear system
sterowanie energooszczędne
układ deskryptorowy
układ ułamkowy
liniowy układ dyskretny
Opis:
Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 33-41
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability conditions of fractional discrete-time scalar systems with pure delay
Warunki stabilności skalarnych układów dyskretnych niecałkowitego rzędu z czystym opóźnieniem
Autorzy:
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/276455.pdf
Data publikacji:
2013
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
stabilność asymptotyczna
stabilność praktyczna
niecałkowity rząd
liniowy układ dyskretny
asymptotic stability
practical stability
fractional order
discrete-time linear system
Opis:
In the paper the problem of stability of fractional discrete-time linear scalar systems with state space pure delay is considered. Using the classical D-decomposition method, the necessary and sufficient condition for practical stability as well as the sufficient condition for asymptotic stability are given.
W pracy rozpatrzono problem stabilności liniowych skalarnych układów dyskretnych niecałkowitego rzędu z czystym opóźnieniem zmiennych stanu. Wykorzystując metodę podziału D podano warunek konieczny i wystarczający praktycznej stabilności oraz warunek wystarczający stabilności asymptotycznej.
Źródło:
Pomiary Automatyka Robotyka; 2013, 17, 2; 340-344
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
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