Wyniki wyszukiwania - BazTech

1

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

|

2012

|

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.

2

Fault tolerant control of switched nonlinear systems with time delay under asynchronous switching

Xiang Z., Wang R., Chen Q.

International Journal of Applied Mathematics and Computer Science

|

2010

|

Vol. 20, no 3

497-506

EN

This paper investigates the problem of fault tolerant control of a class of uncertain switched nonlinear systems with time delay under asynchronous switching. The systems under consideration suffer from delayed switchings of the controller. First, a fault tolerant controller is proposed to guarantee exponentially stability of the switched systems with time delay. The dwell time approach is utilized for stability analysis and controller design. Then the proposed approach is extended to take into account switched time delay systems with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

3

A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching

Zhai G., Xu X.

International Journal of Applied Mathematics and Computer Science

|

2010

|

Vol. 20, no 2

249-259

EN

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.

4

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

|

2007

|

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.

5

Hybrid modelling and performance evaluation of switched discrete-event systems

Wang L.

Control and Cybernetics

|

2004

|

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.