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Tytuł:
Synteza obserwatora pełnego rzędu singularnych układów dyskretnych niecałkowitego rzędu
Full order observer synthesis for singular discrete-time fractional systems
Autorzy:
Kociszewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/275773.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
obserwator
układ singularny
dyskretny
liniowa nierówność macierzowa
observer
singular system
discrete-time
linear matrix inequality
Opis:
W pracy rozpatrzono zagadnienie syntezy obserwatora pełnego rzędu dla układów liniowych dyskretnych singularnych niecałkowitego rzędu. Sformułowano analityczne kryteria istnienia obserwatora i podano sposób wyznaczania macierzy wzmocnień obserwatora. Rozważania teoretyczne, do których wykorzystano liniowe nierówności macierzowe (LMI) zilustrowano przykładem liczbowym.
The paper is devoted to observer synthesis for linear singular discrete-time fractional systems. The problem of finding a nonnegative gain matrix of the observer such that the observer is asymptotically stable is formulated and solved by the use of linear matrix inequality (LMI) method. The proposed approach to the observer synthesis is illustrated by theoretical example.
Źródło:
Pomiary Automatyka Robotyka; 2016, 20, 4; 9-13
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI-based adaptive fuzzy integral sliding mode control of mismatched uncertain systems
Autorzy:
Mnasri, C.
Gasmi, M.
Powiązania:
https://bibliotekanauki.pl/articles/930163.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie rozmyte
sterowanie ślizgowe
liniowa nierówność macierzowa
system niepewny
adaptive fuzzy control
integral sliding mode
LMI
mismatched uncertainties
Opis:
Integral sliding mode design is considered for a class of uncertain systems in the presence of mismatched uncertainties in both state and input matrices, as well as norm-bounded nonlinearities and external disturbances. A sufficient condition for the robust stability of the sliding manifold is derived by means of linear matrix inequalities. The initial existence of the sliding mode is guaranteed by the proposed control law. The improvement of the proposed control scheme performances, such as chattering elimination and estimation of norm bounds of uncertainties, is then considered with the application of an adaptive fuzzy integral sliding mode control law. The validity and efficiency of the proposed approaches are investigated through a sixth order uncertain mechanical system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 605-615
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized static output feedback controller design for linear interconnected systems
Autorzy:
Fadhilah, Helisyah Nur
Adzkiya, Dieky
Arif, Didik Khusnul
Zhai, Guisheng
Mardlijah
Powiązania:
https://bibliotekanauki.pl/articles/2201019.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
output feedback
decentralized controller
homotopy method
interconnected system
matrix inequality
sprzężenie zwrotne
kontroler zdecentralizowany
metoda homotopii
system połączony
nierówność macierzowa
Opis:
Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 83--96
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
Autorzy:
Balasubramaniam, P.
Lakshmanan, S.
Rakkiyappan, R.
Powiązania:
https://bibliotekanauki.pl/articles/331417.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
opóźnienie zależne
liniowa nierówność macierzowa
system stochastyczny
stabilność odporna
delay-dependent stability
linear matrix inequality
Lyapunov-Krasovskii functional
stochastic systems
Opis:
This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault-tolerant control strategy for actuator faults using LPV techniques: application to a two degree of freedom helicopter
Autorzy:
Montes de Oca, S.
Puig, V.
Witczak, M.
Dziekan, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/331468.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
układ liniowy niestacjonarny
liniowa nierówność macierzowa
fault tolerant control
linear parameter varying
virtual actuator
linear matrix inequality
Opis:
In this paper, a Fault Tolerant Control (FTC) strategy for Linear Parameter Varying (LPV) systems that can be used in the case of actuator faults is proposed. The idea of this FTC method is to adapt the faulty plant instead of adapting the controller to the faulty plant. This approach can be seen as a kind of virtual actuator. An integrated FTC design procedure for the fault identification and fault-tolerant control schemes using LPV techniques is provided as well. Fault identification is based on the use of an Unknown Input Observer (UIO). The FTC controller is implemented as a state feedback controller and designed using polytopic LPV techniques and Linear Matrix Inequality (LMI) regions in such a way as to guarantee the closed-loop behavior in terms of several LMI constraints. To assess the performance of the proposed approach, a two degree of freedom helicopter is used.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 161-171
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observer synthesis for linear discrete-time systems with different fractional orders
Synteza obserwatora układów dyskretnych o różnych niecałkowitych rzędach
Autorzy:
Kociszewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/276524.pdf
Data publikacji:
2013
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
rząd niecałkowity
układ
dodatni
dyskretny
obserwator
programowanie liniowe
liniowa nierówność macierzowa
fractional
positive
discrete-time
system
observer
linear programming
linear matrix inequality
Opis:
The paper is devoted to observer synthesis for linear discrete-time positive fractional systems with different fractional orders. The problem of finding a nonnegative gain matrix of the observer such that the observer is positive and asymptotically stable is formulated and solved by the use of linear programming (LP) and linear matrix inequality (LMI) methods. The proposed approach to the observer synthesis is illustrated by theoretical example. Numerical calculations and simulations have been performed in the MATLAB/Simulink program environment.
W pracy rozpatrzono problem syntezy obserwatorów dla dodatnich układów dyskretnych różnych niecałkowitych rzędów w równaniu stanu. Wykorzystując podejście oparte na typowym zadaniu programowania liniowego (LP) oraz zadaniu sformułowanym w ramach liniowych nierówności macierzowych (LMI) pokazano, że jest możliwe uzyskanie dodatniego asymptotycznie stabilnego obserwatora. Są to warunki dostateczne, alternatywne w stosunku do podanych w [5, 18] dla układów niedodatnich. Zaprojektowany obserwator poprawnie estymuje (odtwarza) zmienne stanu przyjętego do rozważań dyskretnego układu niecałkowitego rzędu. Wyniki obliczeniowe uzyskano w środowisku programowym MATLAB z wykorzystaniem biblioteki Optimization oraz pakietów SeDuMi i YALMIP. Rezultaty symulacyjne uzyskano przy wykorzystaniu dodatkowej biblioteki Fractional States Space Toolkit.
Źródło:
Pomiary Automatyka Robotyka; 2013, 17, 2; 376-381
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An active fault-tolerant control framework against actuator stuck failures under input saturations
Autorzy:
Qi, X.
Theilliol, D.
He, Y.
Han, J.
Powiązania:
https://bibliotekanauki.pl/articles/331084.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
actuator stuck failure
actuator constraints
reference redesign
linear matrix inequality
sterowanie tolerujące uszkodzenia
projekt odniesienia
liniowa nierówność macierzowa
Opis:
In this paper, a control framework including active fault-tolerant control (FTC) and reference redesign is developed subject to actuator stuck failures under input saturations. FTC synthesis and reference redesign approaches are proposed to guarantee post-fault system safety and reference reachability. Then, these features are analyzed under both actuator stuck failures and constraints before fault-tolerant controller switches. As the main contribution, actuator stuck failures and constraints are unified so that they can be easily considered simultaneously. By means of transforming stuck failures into actuator constraints, the post-fault system can be regarded as an equivalent system with only asymmetrical actuator constraints. Thus, methods against actuator saturations can be used to guarantee regional stability and produce the stability region. Based on this region, stuck compensation is analyzed. Specifically, an unstable open-loop system is considered, which is more challenging. Furthermore, the method is extended to a set-point tracking problem where the reachability of the original reference can be evaluated. Then, a new optimal reference will be computed for the post-fault system if the original one is unreachable. Finally, simulation examples are shown to illustrate the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 4; 749-761
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
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:
Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
Autorzy:
Li, J.
Xia, Z.
Powiązania:
https://bibliotekanauki.pl/articles/930162.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system stochastyczny
opóźnienie zależne
liniowa nierówność macierzowa
fuzzy large scale stochastic system
delay-dependent
generalized H2 control
infinite distributed delays
linear matrix inequality
Opis:
This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust nonlinear observer design for actuator fault detection in diesel engines
Autorzy:
Boulkroune, B.
Djemili, I.
Aitouche, A.
Cocquempot, V.
Powiązania:
https://bibliotekanauki.pl/articles/330060.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
diesel engine
fault diagnosis
nonlinear unknown input observers
linear matrix inequality (LMI)
silnik Diesla
diagnostyka uszkodzeń
obserwator o nieznanym wejściu
liniowa nierówność macierzowa
Opis:
This paper is concerned with actuator fault detection in nonlinear systems in the presence of disturbances. A nonlinear unknown input observer is designed and the output estimation error is used as a residual for fault detection. To deal with the problem of high Lipschitz constants, a modified mean-value theorem is used to express the nonlinear error dynamics as a convex combination of known matrices with time-varying coefficients. Moreover, the disturbance attenuation is performed using a modified H-infinity criterion. A sufficient condition for the existence of an unknown input observer is obtained using a linear matrix inequality formula, and the observer gains are obtained by solving the corresponding set of inequalities. The advantages of the proposed method are that no a priori assumption on the unknown input is required and that it can be applied to a large class of nonlinear systems. Performances of the proposed approach are shown through the application to a diesel engine model.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 557-569
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decentralized design of interconnected H infinity feedback control systems with quantized signals
Autorzy:
Zhai, G.
Chen, N.
Gui, W.
Powiązania:
https://bibliotekanauki.pl/articles/331266.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interconnected systems
decentralized H infinity control
dynamic output feedback
quantizer
quantization
matrix inequality
LMI
sprzężenie zwrotne dynamiczne
kwantyzer
kwantowanie
nierówność macierzowa
metoda LMI
Opis:
In this paper, we consider the design of interconnected H infinity feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H infinity disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H infinity disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 317-325
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fault tolerant control design for polytopic LPV systems
Autorzy:
Rodrigues, M.
Theilliol, D.
Aberkane, S.
Sauter, D.
Powiązania:
https://bibliotekanauki.pl/articles/911248.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie tolerujące uszkodzenia
interfejs lokalnego zarządzania
liniowa nierówność macierzowa
fault tolerant control
multiple actuator failures
polytopic LPV systems
LMI
static output feedback
stability
Opis:
This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both faultfree and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the stabilizing output feedback control problem. An example illustrates the effectiveness and performances of the proposed FTC method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 27-37
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
H-infinity control of discrete-time linear systems constrained in state by equality constraints
Autorzy:
Filasová, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/330125.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ dyskretny
liniowa nierówność macierzowa
sprzężenie zwrotne
algorytm sterowania
układ singularny
equality constraints
discrete time systems
linear matrix inequality
state feedback
control algorithms
quadratic stability
singular systems
Opis:
In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discrete-time systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outper forms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 551-560
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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
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