Dissipative control for nonlinear Markovian jump systems with actuator failures and mixed time-delays

被引：94
|
作者：
Ma, Lifeng [1 ]
Wang, Zidong [2 ,3 ]
Han, Qing-Long [4 ]
Liu, Yurong [5 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China
[3] Brunel Univ London, Dept Comp Sci, Uxbridge UB8 3PH, Middx, England
[4] Swinburne Univ Technol, Sch Software & Elect Engn, Melbourne, Vic 3122, Australia
[5] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
来源：
AUTOMATICA | 2018年 / 98卷
基金：
中国国家自然科学基金;
关键词：
Dissipative control; Nonlinear Markovian jump systems; Actuator failures; Mixed time-delays; Hamilton-Jacobi inequality; STOCHASTIC-SYSTEMS; LINEAR-SYSTEMS; DISCRETE; ROBUST; STATE;
D O I：
10.1016/j.automatica.2018.09.028
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 dissipative control problem for nonlinear Markovian jump systems subject to actuator failures and mixed time-delays, where the mixed time-delays consist of both discrete and distributed time-delays and are mode-dependent. The purpose of the problem under investigation is to design a state feedback controller such that, in the presence of actuator failures and mixed time delays, the closed-loop system is asymptotically stable in the mean square sense while achieving the pre-specified dissipativity. By constructing a Lyapunov-Krasovskii functional and using a completing square approach, sufficient conditions are proposed for the existence of the desired controller in terms of the solvability of certain Hamilton-Jacobi inequalities. Finally, an illustrative numerical example is provided to demonstrate the effectiveness of the developed control scheme. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：358 / 362
页数：5
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