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Sampled‐data output feedback stabilization for a class of switched stochastic nonlinear systems
Author(s) -
Mao Jun,
Xiang Zhengrong,
Zhai Guisheng
Publication year - 2019
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.4519
Subject(s) - control theory (sociology) , dwell time , nonlinear system , observer (physics) , piecewise , lyapunov function , controller (irrigation) , computer science , sampling (signal processing) , state (computer science) , asynchronous communication , class (philosophy) , mathematics , control (management) , algorithm , artificial intelligence , medicine , clinical psychology , mathematical analysis , computer network , physics , filter (signal processing) , quantum mechanics , agronomy , computer vision , biology
Summary This paper investigates a global sampled‐data output feedback stabilization problem for a class of switched stochastic nonlinear systems whose output and system mode are available only at the sampling instants. An observer is designed to estimate the unmeasurable state and thus a sampled‐data controller is constructed with the sampled estimated state. As a distinctive feature, a merging virtual switching signal is introduced to describe the asynchronous switching generated by detecting the system mode via a sampler. By choosing an appropriate piecewise Lyapunov function, it is proved that the proposed sampled‐data controller with allowable sampling period can stabilize the considered switched stochastic nonlinear systems under an average dwell‐time condition. Finally, two simulation results are presented to illustrate the effectiveness of the proposed method.