Sampled-data control for semi-Markovian jump systems with actuator saturation via fuzzy model approach

被引：7
|
作者：
Liang, Xingyue [1 ]
Xia, Jianwei [1 ]
Zhang, Huasheng [1 ]
Shen, Hao [2 ]
Wang, Zhen [3 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Shandong, Peoples R China
[2] Anhui Univ Technol, Sch Elect & Informat Engn, Maanshan 243002, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 14期
基金：
中国国家自然科学基金;
关键词：
closed loop systems; nonlinear control systems; fuzzy control; control system synthesis; Lyapunov methods; linear matrix inequalities; sampled data systems; stochastic systems; actuators; stability; optimisation; semiMarkovian jump systems; actuator saturation; Takagi-Sugeno fuzzy model method; mode-dependent Lyapunov functional consisting; closed-loop function; stochastically stable criteria; mode-dependent sampled-data controllers; controller design; FSM[!text type='JS']JS[!/text]s; LMI-based optimisation conditions; DATA SYNCHRONIZATION CONTROL; DYNAMIC SURFACE CONTROL; NEURAL-NETWORKS; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; FEEDBACK-CONTROL; LINEAR-SYSTEMS; STABILIZATION; DELAY; PARAMETERS;
D O I：
10.1049/iet-cta.2020.0147
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1888 / 1897
页数：10
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