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Supervisory fault tolerant control with integrated fault detection and isolation: A switched system approach

100%
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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tom 22
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nr 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
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Local analysis of hybrid systems on polyhedral sets with state-dependent switching

100%
Leth J., Wisniewski R.
International Journal of Applied Mathematics and Computer Science
|
2014
|
tom 24
|
nr 2
341-355
EN
This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods borrowed from the theory of differential inclusions. Thus, the main contribution of this paper is to show how stability of a hybrid system can be reduced to a specialization of the well established stability theory of differential inclusions. A number of examples illustrate the concepts introduced in the paper.
3
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Extended lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems

88%
Zhai G., Xu X., Lin H., Liu D.
International Journal of Applied Mathematics and Computer Science
|
2007
|
tom 17
|
nr 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.
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