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Robust non‐fragile H ∞ control for delayed singular Markovian jump systems with actuator saturation and partially unknown transition probabilities
Author(s) -
Yang Guowei,
Xie Jing,
Kao Yonggui,
Wang Changhong
Publication year - 2016
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.3704
Subject(s) - control theory (sociology) , jump , mathematics , controller (irrigation) , actuator , saturation (graph theory) , robust control , computer science , control (management) , control system , engineering , physics , electrical engineering , quantum mechanics , combinatorics , artificial intelligence , agronomy , biology
Summary The paper is devoted to the investigation of the problem of robust non‐fragileH ∞control for singular Markovian jump systems with time‐varying delay and saturating actuators under partially unknown transition probabilities. By employing a Lyapunow function, a mode‐dependent robust non‐fragileH ∞state feedback controller, as well as an estimate of the domain of attraction in the mean square sense, is derived to guarantee stochastic admissibility of the corresponding closed‐loop system with actuator saturation. The controller parameters can be obtained by solving a series of linear matrix inequalities. An illustrative example is provided to show the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.