Almost sure stability and stabilization of Markovian jump systems with alternative and continuous controller failures

被引：3

作者：

Wang, Guoliang ^{[1
]}

Chen, Yadong ^{[1
]}

Gao, Xiangzhou ^{[1
]}

机构：

[1] Liaoning Shihua Univ, Sch Informat & Control Engn, Fushun 113001, Liaoning, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 13期

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; DETECTION FILTER DESIGN; TIME-VARYING DELAYS; FAULT-DETECTION; LINEAR-SYSTEMS; EXPONENTIAL STABILITY;

D O I：

10.1016/j.jfranklin.2020.04.020

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 considers the exponential almost sure (EAS) stability and stabilization problems of continuous-time Markovian jump systems (MJSs) with alternative and continuous controller failures. By introducing a piecewise constant function, the dwell times of a controller useful or not are modeled to be time-variant, whose bounds are also included. Then, sufficient conditions for EAS stability are established by using a method on its stochastic transfer matrix. Moreover, the statistically transient properties of Markov process are considered, and the control gains is gotten by solving some Lyapunov equations. Two examples are used to demonstrate the effectiveness and superiority of the proposed methods. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8454 / 8472

页数：19

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