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    Wyświetlanie 1-15 z 15
    Tytuł:
    Non-quadratic performance design for Takagi-Sugeno fuzzy systems
    Autorzy:
    Bernal, M.
    Husek, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908524.pdf
    Data publikacji:
    2005
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie rozmyte
    funkcja Lapunowa
    LMIs
    fuzzy control
    Lyapunov functions
    Opis:
    This paper improves controller synthesis of discrete Takagi-Sugeno fuzzy systems based on non-quadratic Lyapunov functions, making it possible to accomplish various kinds of control performance specifications such as decay rate conditions, requirements on control input and output and disturbance rejection. These extensions can be implemented via linear matrix inequalities, which are numerically solvable with commercially available software. The controller design is illustrated with an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2005, 15, 3; 383-391
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Discrete-time Takagi-Sugeno singular systems with unmeasurable decision variables: state and fault fuzzy observer design
    Autorzy:
    Aitdaraou, Khaoula
    Essabre, Mohamed
    El Assoudi, Abdellatif
    El Yaagoubi, El Hassane
    Powiązania:
    https://bibliotekanauki.pl/articles/27312012.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czasopisma i Monografie PAN
    Tematy:
    observer design
    unmeasurable decision variable
    SVD approach
    Lyapunov function
    LMIs
    Opis:
    The studied problem in this paper, treat the issue of state and fault estimation using a fuzzy observer in the case of unmeasurable decision variable for Discrete-Time Takagi-Sugeno Singular Sytems (DTSSS). First, an augmented system is introduced to gather state and fault into a single vector, then on the basis of Singular Value Decomposition (SVD) approach, this observer is designed in explicit form to estimate both of state and fault of a nonlinear singular system. The exponential stability of this observer is studied using Lyapunov theory and the convergence conditions are solved with Linear Matrix Inequalities (LMIs). Finally a numerical example is simulated, and results are given to validate the offered approach.
    Źródło:
    Archives of Control Sciences; 2023, 33, 2; 321--338
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Linear Repetitive Process Control Theory Applied to a Physical Example
    Autorzy:
    Gałkowski, K.
    Rogers, E.
    Paszke, W.
    Owens, D. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/908259.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    repetitive dynamics
    metal rolling
    LMIs
    delay differential system
    stability
    Opis:
    In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward translation into efficient routinely applicable controller design algorithms for applications domains. In this paper, we introduce the dynamics of these processes by outlining the development of models for various metal rolling operations. These models are then used to illustrate some recent results on the development of a comprehensive control theory for these processes.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 1; 87-99
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fuzzy state feedback with double integrator and anti-windup for the Van de Vusse reaction
    Autorzy:
    Márquez-Vera, C. A.
    Màrquez-Vera, M. A.
    Yakoub, Z.
    Ma’arif, A.
    Castro-Montoya, A. J.
    Cázarez-Castro, N. R.
    Powiązania:
    https://bibliotekanauki.pl/articles/2134892.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fuzzy state feedback
    LMIs
    Van de Vusse reaction
    double integrator
    anti-windup
    Opis:
    Chemical processes use to be non-minimum phase systems. Thereby, they are a challenge for control applications. In this paper, fuzzy state feedback is applied in the Van de Vusse reaction that has an inverse response. The control design has an integrator to enhance the control performance by eliminating the steady-state error when a step reference is applied. An anti-windup action is used to reduce the undershoot in the system response. In practice, it is not possible to have always access to all the state variables. Thus, a fuzzy state observer is implemented via LMIs. Frequently, the papers that show similar applications present some comments about disturbance rejection. To eliminate the steady-state error when a ramp reference is used, in this work, a second integrator is aggregated. Now, the anti-windup also reduces the overshoot generated due to the usage of two integrators in the final application.
    Źródło:
    Archives of Control Sciences; 2022, 32, 2; 383--408
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    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:
    Decentralized static output tracking control of interconnected and disturbed Takagi–Sugeno systems
    Autorzy:
    Jabri, Dalel
    Guelton, Kevin
    Belkhiat, Djamel E.C.
    Manamanni, Noureddine
    Powiązania:
    https://bibliotekanauki.pl/articles/331181.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interconnected Takagi–Sugeno system
    decentralized static outputs tracking controller
    H∞ criterion
    LMIs
    model Takagi-Sugeno
    kontroler śledzenia
    Opis:
    This article describes a new procedure for the design of decentralized output-feedback tracking controllers for a class of interconnected Takagi–Sugeno (TS) fuzzy systems with external bounded disturbances and measurement noise. The main idea consists in transforming the decentralized tracking control problem, by using the descriptor redundancy formulation, to a robust decentralized stabilization one. The non-parallel distributed compensation (non-PDC) controllers proposed here are synthesized to satisfy robust H∞ tracking performance with disturbance attenuation. The decentralized controllers design conditions are given in terms of LMIs via extended quadratic Lyapunov functions. Finally, simulations are presented: two numerical examples are dedicated to compare the conservatism of the proposed approach regarding the previous results available in the literature; then, the effectiveness of the decentralized controller design methodology is illustrated with a closed-loop simulation of two inverted pendulums connected by a spring.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 2; 225-238
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A novel robust H1 fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varyin delay
    Autorzy:
    Assawinchaichote, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/205767.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    H∞ fuzzy control
    Takagi-Sugeno (TS) fuzzy model
    linear matrix inequalities (LMIs)
    Markovian jump parameters
    time-varying delay
    Opis:
    This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
    Źródło:
    Control and Cybernetics; 2014, 43, 2; 227-248
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    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:
    Robust controlled positive delayed systems with interval parameter uncertainties: A delay uniform decomposition approach
    Autorzy:
    Elloumi, W.
    Mehdi, D.
    Chaabane, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330766.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    delay system
    robust stabilization
    positive system
    parametric constraints
    delay decomposition
    LMIs
    układ z opóźnieniem
    stabilizacja odporna
    układ dodatni
    ograniczenia parametryczne
    Opis:
    This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov–Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 441-450
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie LMI do syntezy obserwatorów liniowych ciągłych układów niecałkowitego rzędu
    LMI approach to observer synthesis for linear continuous-time fractional order systems
    Autorzy:
    Kociszewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/157110.pdf
    Data publikacji:
    2010
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    liniowe nierówności macierzowe (LMI)
    synteza
    obserwator
    układ
    ciągły
    rząd niecałkowity
    linear matrix inequalities (LMIs)
    synthesis
    observer
    system
    continuous-time
    fractional order
    Opis:
    W pracy rozpatrzono problem syntezy obserwatorów liniowych układów ciągłych niecałkowitego rzędu. Wykorzystując aparat liniowych nierówności macierzowych (LMI) sformułowano warunki oraz podano procedury do wyznaczania macierzy wzmocnień obserwatorów, dla rzędu ? układu: 0 < α < 1 i 1 < α < 2. Rozważania zilustrowano przykładem liczbowym. Obliczenia i symulacje wykonano w środowisku Matlab/Simulink.
    Many sophisticated analytical procedures to control system design are based on the assumption that the full state vector is available for measurement. The example of such control procedure is placement of the unstable system eigenvalues. In many systems of practical importance, however, the entire state vector is not available for measurement. In some systems, for example, measurements may require the use of costly measurement devices and it may be unreasonable to measure all state variables. An auxiliary dynamical system, which reconstructs the state vector, is known as a full-order or an identity observer, and is coupled to the original system through the available system inputs and outputs [14]. The paper presents a problem of synthesis of full-order observers for fractional continuous-time linear systems. It has been shown that this problem can be formulated and solved by the use of linear matrix inequalities (LMI) methods [15]. Two cases of fractional order i.e. 0 < α < 1 and 1 < α < 2 of the system (1) have been considered. Necessary and sufficient conditions (Theorem 1 and 2) for solvability of the problem as well as two procedures (Procedure 1 and 2) for computation of a gain matrix L of asymptotic stable observer (2) have been given. The proposed approach is illustrated with a practical example. Numerical calculations have been performed in the Matlab package and accompanied by public domain software: SeDuMi solver and YALMIP parser. The LMI approach to observer synthesis for fractional continuous-time linear systems has not been considered as yet.
    Źródło:
    Pomiary Automatyka Kontrola; 2010, R. 56, nr 5, 5; 392-395
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quadratic performance analysis of switched affine time-varying systems
    Autorzy:
    Li, W.
    Huang, C.
    Zhai, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/330032.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    switched affine system
    time varying system
    quadratic stabilization
    tracking
    L2 gain
    switching law
    differential LMIs
    observer
    system zmienny w czasie
    stabilizacja kwadratowa
    śledzenie
    obserwator
    Opis:
    We analyze quadratic performance for switched systems which are composed of a finite set of affine time-varying subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem has desired quadratic performance. The quadratic performance indexes we deal with include stability, tracking and L2 gain. We show that if a linear convex combination of subsystem matrices is uniformly Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched affine system is quadratically stable at the origin. In the case where the convex combination of affine vectors is nonzero, we show that the tracking control problem can be posed and solved using a similar switching strategy. Finally, we consider the L2 gain analysis problem for the switched affine time-varying systems under state feedback.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 429-440
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching
    Autorzy:
    Zhai, G.
    Xu, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/907764.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ komutowany
    układ deskrypcyjny
    stabilność
    komutacja dowolna
    nierówność macierzy
    LMI
    switched linear descriptor systems
    stability
    arbitrary switching
    linear matrix inequalities (LMIs)
    common quadratic Lyapunov functions
    Opis:
    We establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 249-259
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A multi-model approach to Saint-Venant equations: A stability study by LMIs
    Autorzy:
    Dos Santos Martins, V.
    Rodrigues, M.
    Diagne, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/330130.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    równanie Saint-Venanta
    system nieskończenie wymiarowy
    stabilność wykładnicza
    Saint-Venant equation
    multi-model
    LMIs
    infinite dimensional system
    exponential stability
    strongly continuous semigroup
    internal model boundary control
    Opis:
    This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 539-550
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A fault estimation and fault-tolerant control based sliding mode observer for LPV descriptor systems with time delay
    Autorzy:
    Hamdi, Habib
    Rodrigues, Mickael
    Rabaoui, Bouali
    Benhadj Braiek, Naceur
    Powiązania:
    https://bibliotekanauki.pl/articles/1838208.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fault estimation
    fault-tolerant control
    LPV descriptor system
    sliding mode observer
    time delay
    LMIs
    linear matrix inequalities
    estymacja błędu
    sterowanie odporne na uszkodzenia
    sterowanie ślizgowe
    liniowa nierówność macierzowa
    Opis:
    This paper considers the problem of fault-tolerant control (FTC) and fault reconstruction of actuator faults for linear parameter varying (LPV) descriptor systems with time delay. A polytopic sliding mode observer (PSMO) is synthesized to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Exploiting the reconstructed actuator faults and state estimates, a fault-tolerant controller is designed to compensate the impact of actuator faults on system performance by stabilizing the closed-loop LPV delayed descriptor system. Besides, the controller and PSMO gains are obtained throughout the resolution of linear matrix inequalities (LMIs) using convex optimization techniques. The developed PSMO could force the output estimation error to converge to zero in a finite time when the actuators faults are bounded through the reinjection of the output estimation error via a nonlinear switching term. Simulation results applied to a given numerical system are presented to highlight the superiority and effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 247-258
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional
    Autorzy:
    Stojanovic, S. B.
    Debeljkovic, D. Lj.
    Antic, D. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/200145.pdf
    Data publikacji:
    2015
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    singular systems
    time-delay
    LMIs
    finite-time stability
    stabilizing controllers
    cone complementarity
    linearization
    cone complementarity linearization algorithm
    systemy pojedyńcze
    czas opóźnienia
    stabilność w czasie skończonym
    kontrolery stabilizujące
    komplementarność
    linearyzacja
    algorytm cone complementarity linearization
    Opis:
    In this paper, the problems of finite-time stability and stabilization for a class of singular time-delay systems are studied. Using the Lyapunov-like functional (LLF) with (exponential or power) weighting function and a new estimation method for the lower bound on LLF, some sufficient stability conditions are introduced. It is shown that the weighting function significantly reduces the conservatism of the stability criteria in comparison to estimation of the lower bound on LLF without this function. To solve the finite-time stabilization problem, a stabilizing linear state controller is designed by exploiting the cone complementarity linearization algorithm. Two numerical examples are given to illustrate the effectiveness of the proposed method.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 2; 479-487
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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