Adaptive sliding mode controller design of Markov jump systems with time-varying actuator faults and partly unknown transition probabilities

被引：32
|
作者：
Yao, Deyin [1 ]
Liu, Ming [2 ]
Lu, Renquan [1 ]
Xu, Yong [1 ]
Zhou, Qi [1 ]
机构：
[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China
[2] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2018年 / 28卷
基金：
中国国家自然科学基金;
关键词：
Markov jump systems; Sliding mode control; Adaptive sliding mode controller; Partially known transition probabilities; SWITCHED NONLINEAR-SYSTEMS; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZATION; STABILITY;
D O I：
10.1016/j.nahs.2017.07.007
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 addresses the stabilization problem of a class of Markov jump systems with time-varying actuator faults and partially known transition probabilities via the sliding mode control method. In this study, the exact information of the time-varying actuators faults, nonlinearities and external disturbances considered in this paper is unknown for the controller design. By Lyapunov stability theory, some sufficient conditions of stochastic stability for Markov jump systems in the existence of actuators faults, unknown nonlinearities and unknown perturbation are derived. Finally, the effectiveness of the proposed control method is illustrated by a simulation example. (C) 2017 Published by Elsevier Ltd.
引用
收藏
页码：105 / 122
页数：18
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