Sliding Mode Control for Nonlinear Stochastic Singular Semi-Markov Jump Systems

被引：154

作者：

Qi, Wenhai ^{[1
]}

Zong, Guangdeng ^{[1
]}

Karimi, Hamid Reza ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China

[2] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Sliding mode control; Weibull distribution; Switches; Markov processes; Symmetric matrices; Probability distribution; Semi-Markov jump systems (S-M[!text type='JS']JS[!/text]s); stochastic disturbance; LINEAR-SYSTEMS; STABILIZATION; STABILITY;

D O I：

10.1109/TAC.2019.2915141

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of sliding mode control design for nonlinear stochastic singular semi-Markov jump systems (S-MJSs). Stochastic disturbance is first considered in studying S-MJSs with a stochastic semi-Markov process related to Weibull distribution. The specific information including the bound of nonlinearity is known for the control design. Our attention is to design sliding mode control law to attenuate the influences of uncertainty and nonlinear term. First, by the use of the Lyapunov function, a set of sufficient conditions are developed such that the closed-loop sliding mode dynamics are stochastically admissible. Then, the sliding mode control law is proposed to ensure the reachability in a finite-time region. Finally, the practical system about dc motor model is given to verify the validity of the proposed method.

引用

页码：361 / 368

页数：8

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