Open AccessSampled‐data control for semi‐Markovian jump systems with actuator saturation via fuzzy model approach
Author(s) -
Liang Xingyue,
Xia Jianwei,
Zhang Huasheng,
Shen Hao,
Wang Zhen
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2020.0147
Subject(s) - control theory (sociology) , actuator , lyapunov function , mathematics , fuzzy logic , saturation (graph theory) , controller (irrigation) , fuzzy control system , computer science , control (management) , nonlinear system , physics , quantum mechanics , artificial intelligence , combinatorics , agronomy , biology
In this article, the problem of sampled‐data control is considered for semi‐Markovian jump systems (FSMJSs) with actuator saturation by Takagi–Sugeno fuzzy model method. First, mode‐dependent Lyapunov functional consisting of the two‐sided closed‐loop function is constructed. On the basis of this function, stochastically stable criteria are presented in terms of linear matrix inequalities (LMIs). Then, based on the stochastically stable criteria, mode‐dependent sampled‐data controllers are designed for FSMJSs. As a corollary, stable criteria and controller design are also proposed for the general FSMJSs without actuator saturation. The improved LMI‐based optimisation conditions are obtained to estimate the region of attraction. Finally, numerical examples are provided to show the effectiveness and significant improvement of the method presented.