Reachable set estimation and decentralized control synthesis of large‐scale switched systems under mixed switching | Zendy

Wang Tao | Zendy; Wang Xuehai | Zendy; Xiang Weiming | Zendy

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Reachable set estimation and decentralized control synthesis of large‐scale switched systems under mixed switching

Author(s) -

Wang Tao,

Wang Xuehai,

Xiang Weiming

Publication year - 2020

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.5143

Subject(s) - dwell time , control theory (sociology) , lyapunov function , state (computer science) , set (abstract data type) , computer science , controller (irrigation) , scale (ratio) , function (biology) , decentralised system , switching time , control (management) , mathematical optimization , mathematics , engineering , algorithm , nonlinear system , artificial intelligence , medicine , clinical psychology , physics , electrical engineering , quantum mechanics , evolutionary biology , agronomy , biology , programming language

Summary The article studies the reachable set estimation problem for large‐scale switched systems with multimodes that have mixed switching signals consisting of both dwell time switching and arbitrary switching. First, based on a novel decentralized time‐scheduled Lyapunov function method, the method of the reachable set estimation of large‐scale switched systems is developed. By means of the novel Lyapunov function especially constructed for large‐scale switched systems, a sufficient condition is derived to ensure that the systems state is constrained in the prescribed set under the mixed dwell time switching and arbitrary switching. The concept of a decentralized control synthesis is then introduced and a time‐varying decentralized state feedback controller is developed to ensure the state trajectories of closed‐loop large systems are confined in a prescribed set. Finally, some examples are provided to illustrate our results.

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