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Tytuł:
Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:
Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:
This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:
Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On optimal control problem subject to fractional order discrete time singular systems
Autorzy:
Chiranjeevi, Tirumalasetty
Biswas, Raj Kumar
Devarapalli, Ramesh
Babu, Naladi Ram
García Márquez, Fausto Pedro
Powiązania:
https://bibliotekanauki.pl/articles/2083465.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional optimal control problem
discrete time singular system
fractional derivative
Hamiltonian technique
Opis:
In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
Źródło:
Archives of Control Sciences; 2021, 31, 4; 849-863
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of advection-diffusion problems for cropping systems in polluted soils
Autorzy:
Louison, Loïc
Omrane, Abdennebi
Powiązania:
https://bibliotekanauki.pl/articles/2183459.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nutrient uptake
polluted soils
Nye-Tinker-Barber model
NTB model
advection-diffusion system
low-regret optimal control
singular optimality system
SOS
Opis:
The article studies the nutrient transfer mechanism for cropping systems in polluted soils from a mathematical and optimal control point of view. The problem under consideration is governed by an advection-diffusion PDE in a bounded domain. The existence of a solution is obtained. We also determine the optimal amount of required nutrients at the root surface for plants where the soil is polluted by an unknown source. The characterization of the optimal control by a singular optimality system is obtained.
Źródło:
Control and Cybernetics; 2021, 50, 2; 253--268
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A robust model free controller for a class of SISO nonaffine nonlinear systems: Application to an electropneumatic actuator
Autorzy:
Boubakir, Ahsene
Labiod, Salim
Boudjema, Fares
Powiązania:
https://bibliotekanauki.pl/articles/229193.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamic inversion control
model free controller
nonaffine nonlinear systems
singular perturbation theory
Opis:
This paper presents a robust model free controller (RMFC) for a class of uncertain continuous-time single-input single-output (SISO) minimum-phase nonaffine-in-control systems. Firstly, the existence of an unknown dynamic inversion controller that can achieve control objectives is demonstrated. Afterwards, a fast approximator is designed to estimate as best as possible this dynamic inversion controller. The proposed robust model free controller is an equivalent realization of the designed fast approximator. The perturbation theory and Tikhonov’s theorem are used to analyze the stability of the overall closed-loop system. The performance of the developped controller are verified experimentally in the position control of a pneumatic actuator system.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 437-458
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic Contraction Method approach to digital longitudinal aircraft flight controller design
Autorzy:
Czyba, Roman
Stajer, Lukasz
Powiązania:
https://bibliotekanauki.pl/articles/229293.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear systems
MIMO systems
aircraft control
digital controller
singular perturbation
Opis:
This paper presents the design of digital controller for longitudinal aircraft model basedon the Dynamic Contraction Method. The control task is formulated as a tracking problem of velocity and flight path angle, where decoupled output transients are accomplished in spite of incomplete information about varying parameters of the system and external disturbances. The design of digital controller based on the pseudo-continuous approach is presented, where the digital controller is the result of continuous-time controller discretization. A resulting output feedback controller has a simple form of a combination of low-order linear dynamical systems and a matrix whose entries depend nonlinearly on certain known process variables. Simulation results for an aircraft model confirm theoretical expectations.
Źródło:
Archives of Control Sciences; 2019, 29, 1; 97-109
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On discounted LQR control problem for disturbanced singular system
Autorzy:
Yulianti, Lyra
Nazra, Admi
-, Zulakmal
Bahar, Arifah
Muhafzan, Muhafzan
Powiązania:
https://bibliotekanauki.pl/articles/949817.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discounted LQR control
singular system
disturbance
Opis:
The LQR (linear quadratic regulator) control problem subject to singular system constitutes a optimization problem in which one must be find an optimal control that satisfy the singular system and simultaneously to optimize the quadratic objective functional. In this paper we establish a sufficient condition to obtain the optimal control of discounted LQR optimization problem subject to disturbanced singular system where the disturbance is time varying. The considered problem is solved by transforming the discounted LQR control problem subject to disturbanced singular system into the normal LQR control problem. Some available results in literatures of the normal LQR control problem be used to find the sufficient conditions for the existence of the optimal control for discounted LQR control problem subject to disturbanced singular system. The final result of this paper is in the form a method to find the optimal control of discounted LQR optimization problem subject to disturbanced singular system. The result shows that the disturbance is vanish with the passage of time.
Źródło:
Archives of Control Sciences; 2019, 29, 1; 147-156
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extremals of the time optimal control problem for a material point moving along a straight line in the presence of friction and limitation on the velocity
Autorzy:
Osmolovskii, N. P.
Figura, A.
Kośka, M.
Wójtowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/206453.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
material point
resistance forces
acceleration
deceleration
Pontryagin’s maximum principle
second order optimality conditions
optimal control
adjoint variable
state constraint
Stieltjes measure
singular arc
boundary arc
Opis:
This paper provides an analysis of the time optimal control problem for a material point moving along a straight line in the presence of strength of resistance to movement (friction) and subject to constraint on the velocity. The point is controlled by a limited traction or braking force. The analysis of the problem is based on the maximum principle for state constraints in the Dubovitskii-Milyutin form, see Dubovitskii and Milyutin (1965), and the necessary second-order optimality condition for bang-bang controls, see Milyutin and Osmolovskii (1998).
Źródło:
Control and Cybernetics; 2017, 46, 4; 305-324
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system
Autorzy:
Zhou, L.
She, J.
Li, C.
Pan, C.
Powiązania:
https://bibliotekanauki.pl/articles/330015.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
repetitive control
equivalent input disturbance
two dimensional system
singular value decomposition
linear matrix inequality
sterowanie powtarzalne
układ dwuwymiarowy
rozkład na wartości szczególne
liniowa nierówność macierzowa
Opis:
This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 285-295
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A multidimensional singular stochastic control problem on a finite time horizon
Autorzy:
Boryc, Marcin
Kruk, Łukasz
Powiązania:
https://bibliotekanauki.pl/articles/747102.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Singular stochastic control
generalized derivative
HJB equation
optimal control
Opis:
A singular stochastic control problem in n dimensions with timedependent coefficients on a finite time horizon is considered. We show that the value function for this problem is a generalized solution of the corresponding HJB equation with locally bounded second derivatives with respect to the space variables and the first derivative with respect to time. Moreover, we prove that an optimal control exists and is unique.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2015, 69, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bayesian Control of a Discrete-Time Linear System with Uniformly Distributed Disturbances
Autorzy:
Walczak, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/747940.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Bayes control, optimal, singular system, disturbances, Pareto distribution, adaptive control
Sterowanie bayesowskie, zakłócenia, rozkład jednostajny, rozkład Pareto, rozkłady sprzężone
Opis:
W pracy tej rozważa się zagadnienie sterowania optymalnego liniowym systemem dynamicznym z dyskretnym czasem, przy addytywnych zakłóceniach.  Zakłócenia są niezależnymi zmiennymi losowymi o jednakowym rozkładzie podanym z dokładnością do parametru. Sterowanie odbywa się w układzie zamkniętym.  Funkcja strat to nieujemnie określona forma kwadratowa zależna od stanu systemu i zastosowanego sterowania.  Horyzont sterowania jest ograniczoną zmienną losową o znanym rozkładzie, niezależną od zakłóceń, a pomiary stanu nie są obarczone błędem.  Wykorzystując metodę programowania dynamicznego wyznaczono analityczną postać algorytmu bayesowskiego sterowania optymalnego w układzie zamkniętym: dla zakłóceń  o rozkładzie jednostajnym na [0, λ] oraz dla zakłóceń o rozkładzie jednostajnym na [λ1,  λ2].
The main objective of this article is to develop Bayesian optimal control for a class of linear stochastic discrete time systems. By taking into consideration that the disturbances in the system are given by a random variable having an uniform distribution with a natural parameter, we prove that the Bayes control
Źródło:
Mathematica Applicanda; 2015, 43, 2
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller
Autorzy:
Zhou, L.
She, J.
Zhou, S.
Powiązania:
https://bibliotekanauki.pl/articles/330403.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
repetitive control
dynamic output feedback
two dimensional system
singular value decomposition
linear matrix inequality
sterowanie powtarzalne
sprzężenie zwrotne dynamiczne
system dwuwymiarowy
liniowa nierówność macierzowa
Opis:
This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 325-334
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A simple trolley-like model in the presence of a nonlinear friction and a bounded fuel expenditure
Autorzy:
Dmitruk, Andrei
Samylovskiy, Ivan
Powiązania:
https://bibliotekanauki.pl/articles/729308.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
optimal control problem
Pontryagin Maximum Principle
extremals
singular arcs
Opis:
We consider a problem of maximization of the distance traveled by a material point in the presence of a nonlinear friction under a bounded thrust and fuel expenditure. Using the maximum principle we obtain the form of optimal control and establish conditions under which it contains a singular subarc. This problem seems to be the simplest one having a mechanical sense in which singular subarcs appear in a nontrivial way.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 2; 135-147
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay-dependent dissipative control for stochastic singular systems with state delay
Autorzy:
Ding, C.
Li, Q.
Powiązania:
https://bibliotekanauki.pl/articles/229379.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic singular system
dissipative control
delay-dependent
state delay
linear matrix inequalities (LMIs)
Opis:
The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
Źródło:
Archives of Control Sciences; 2013, 23, 3; 281-293
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of variational inequalities for bang-singular-bang controls
Autorzy:
Felgenhauer, U.
Powiązania:
https://bibliotekanauki.pl/articles/206215.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
parametric optimal control problems bang-singular control structure
approximation of extremals
Opis:
The paper is related to parameter dependent optimal control problems for control-affine systems. The case of scalar reference control with bang-singular-bang structure is considered. The analysis starts from a variational inequality (VI) formulation of Pontryagin’s Maximum Principle. In a first step, under appropriate higher-order sufficient optimality conditions, the existence of solutions for the linearized problem (LVI) is proven. In a second step, for a certain class of right-hand side perturbation, it is show that the controls from LVI have bang-singular-bang structure and, in L1 topology, depend Lipschitz continuously on the data. Applying finally a common fixed-point approach to VI, the results are brought together to obtain existence and structural stability results for extremals of the original control problem under parameter perturbation.
Źródło:
Control and Cybernetics; 2013, 42, 3; 557-592
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Energy Saving Robust Control of Active Magnetic Bearings in Flywheel
Autorzy:
Mystkowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/386963.pdf
Data publikacji:
2012
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
koło zamachowe
aktywne łożysko magnetyczne
weighting functions
flywheel
active magnetic bearings
singular control
Opis:
The paper reports on the investigation and development of the flywheel device as a energy storage system (FESS). The FESS is designed to operate in a vacuum and is supported on a low energy controlled active magnetic bearings (AMBs). The goal was to design and experimentally test the self integrated flywheel conception with a smart control of the flywheel rotor magnetic suspension. The low power control approach, with the reduced bias current, of the flywheel active magnetic bearings is used. The weighting functions are designed in order to meet robust control conditions. The laboratory investigations of the flywheel with high gyroscopic effect operated at low speed met the control and energy performances requirements.
Źródło:
Acta Mechanica et Automatica; 2012, 6, 3; 72-75
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 28

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