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1
Content available The selected problems of controllability of discrete-time switched linear systems with constrained switching rule
Babiarz A., Czornik A., Klamka J., Niezabitowski M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2015
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Vol. 63, nr 3
657--666
EN
In this paper the controllability problem for discrete-time linear switched systems is considered. The main goal is to find a control signal that steers any initial state to a given final state independently of the switching signal. In the paper, it is assumed that there are some constraints posed on the switching signal. Moreover, we present a necessary and sufficient conditions of some kinds of controllability. Three types of controllability, namely: from zero initial state to any final state, from any initial state to zero final state and from any initial state to any final state are considered. Finally, three illustrative examples are shown.
2
Content available remote Robust Dynamic Output Feedback H[infinity] Control for Uncertain Switched Singular Systems
Fu Z., Liu L., Gao A., Pu J.
Przegląd Elektrotechniczny
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2012
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R. 88, nr 3b
34-38
EN
This paper considers the problems of dynamic output feedback H[infinity] control for uncertain switched singular system with parametric uncertainties. A switching rule and a switched dynamic output feedback controller are designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H[infinity] disturbance attenuation level [gamma]. Such sufficient conditions are derived via a series of strict linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
PL
W artykule analizuje się problem dynamiki system sterowania H[nieskończoność] dla systemu pojedynczego z niepewnymi przełączeniami. Badano zasady przełączania i dynamikę przełączania gwarantującą stabilną prace systemu. Przedstawiono przykład numeryczny ilustrujący skuteczność proponowanej metody.
3
Content available Supervisory fault tolerant control with integrated fault detection and isolation: a switched system approach
Yang H., Jiang B., Cocquempot V., Lu L.
International Journal of Applied Mathematics and Computer Science
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2012
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Vol. 22, no. 1
87-97
EN
This paper focuses on supervisory fault tolerant control design for a class of systems with faults ranging over a finite cover. The proposed framework is based on a switched system approach, and relies on a supervisory switching within a family of pre-computed candidate controllers without individual fault detection and isolation schemes. Each fault set can be accommodated either by one candidate controller or by a set of controllers under an appropriate switching law. Two aircraft examples are included to illustrate the efficiency of the proposed method.
4
Content available remote Controllers of the boost DC-DC converter accounting its minimum- and nonminimum-phase nature
Gessing R.
Archives of Control Sciences
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2009
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Vol. 19, no. 3
245-259
EN
It is shown that the model of the boost DC-DC converter is minimum phase for operation on the left-hand side of the extremum of the steady state characteristic and nonminimum phase - on the right-hand side. For operation on the left-hand side a simple proportional controller is proposed which gives significantly better quality of control than many other controllers appearing in literature. However, it is noted that efficiency of the converter during operation on the left-hand side is smaller, therefore another original proposal of the controller based on nonlinear transformation and state feedback, designed for operation on the right-hand side, is proposed.
5
Content available remote Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete–time subsystems
Zhai G., Xu X., Lin H., Liu D.
International Journal of Applied Mathematics and Computer Science
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2007
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Vol. 17, no 4
447-454
EN
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.
6
Content available remote Hybrid modelling and performance evaluation of switched discrete-event systems
Wang L.
Control and Cybernetics
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2004
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Vol. 33, no 2
311-321
EN
Motivated by the integrated complexity of real-time intelligent control and optimization of industrial/manufacturing processes, this paper discusses hybrid modelling and asymptotic periodic behavior of a class of switched discrete event systems, and shows how to evaluate the asymptotic performance/efficiency of such systems. We prove that, under some mild conditions, the switched discrete event system will achieve asymptotic periodic dynamics, and its performance/efficiency can be evaluated by calculating the eigenvalue of certain matrix in max-plus algebra. Illustrative examples are provided.
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