Almost Sure Stabilization of Continuous-Time Jump Linear Systems via a Stochastic Scheduled Controller

This article addresses the almost surely exponential (ASE) stabilization problem of continuous-time jump systems realized by a stochastic scheduled controller. In this study, a stochastic scheduled controller based on the anytime algorithm is proposed. It is able to cope with the situation where no...

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Veröffentlicht in:IEEE transactions on cybernetics Jg. 52; H. 5; S. 2712 - 2724
Hauptverfasser: Wang, Guoliang, Sun, Yuanyuan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States IEEE 01.05.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Algorithms
Almost sure stability
Asymptotic stability
Control systems
Controllers
Dwell time
linear matrix inequalities (LMIs)
Linear systems
Processor scheduling
Scheduling
Stabilization
stochastic jump systems
Stochastic processes
stochastic scheduling
Subsystems
Symmetric matrices
Transfer matrices
ISSN:2168-2267, 2168-2275, 2168-2275
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Zusammenfassung:This article addresses the almost surely exponential (ASE) stabilization problem of continuous-time jump systems realized by a stochastic scheduled controller. In this study, a stochastic scheduled controller based on the anytime algorithm is proposed. It is able to cope with the situation where no controller is added to subsystems during some time slices. Sufficient conditions for the existence of such a controller are established by applying novel techniques to its stochastic transfer matrix, and they are all presented with solvable forms. Particularly, both dwell times of the jump signal and distribution properties of stochastic scheduling are considered and proved to have played positive roles in obtaining better performance and applications. Two special situations about no jump systems with constant and varied dwell times are further studied, respectively. A practical example is offered so as to verify the effectiveness and superiority of the methods proposed in this study.
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ISSN:2168-2267
2168-2275
2168-2275
DOI:10.1109/TCYB.2020.3021424