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Robust finite‐time H ∞ synchronization for uncertain discrete‐time systems with nonhomogeneous Markovian jump: Observer‐based case
Author(s) -
He Quangui,
Xing Mali,
Gao Xiaobin,
Deng Feiqi
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.4974
Subject(s) - discrete time and continuous time , control theory (sociology) , mathematics , synchronization (alternating current) , observer (physics) , lyapunov function , bounded function , markov process , computer science , control (management) , nonlinear system , topology (electrical circuits) , mathematical analysis , statistics , physics , combinatorics , quantum mechanics , artificial intelligence
Summary In this article, the problem of robust finite‐time H ∞ synchronization control is investigated for a class of uncertain discrete‐time master‐slave systems with Markovian switching parameters in the observer‐based case. Parameter uncertainties are assumed to be norm‐bounded, and the polyhedral character is utilized to describe the transition probabilities of nonhomogeneous Markov chain. By using stochastic Lyapunov function method and finite‐time analysis techniques, novel sufficient conditions that include the master‐slave parameters are obtained for designing an observer‐based finite‐time H ∞ synchronization control law in terms of linear matrix inequalities. The effectiveness of the proposed theoretical scheme is finally demonstrated by some simulations.