Non-fragile observer-based sliding mode control for Markovian jump systems with mixed mode-dependent time delays and input nonlinearity

被引：32
|
作者：
Gao, Lijun [1 ]
Wang, Dandan [1 ]
Wu, Yuqiang [1 ]
机构：
[1] Qufu Normal Univ, Dept Elect Engn & Automat, Rizhao 276826, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷
关键词：
Markovian jump systems; Input nonlinearity; Mode-dependent delays; Sliding mode control; H-INFINITY CONTROL; UNCERTAIN DYNAMIC-SYSTEMS; LINEAR-SYSTEMS; ROBUST STABILITY; ADAPTIVE-CONTROL; CONTROL DESIGN; STABILIZATION; SYNCHRONIZATION; DISCRETE; SUBJECT;
D O I：
10.1016/j.amc.2013.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the state estimation and the sliding mode control (SMC) for a class of Markovian jump systems with mixed mode-dependent time delays and input nonlinearity. Anon-fragile observer is designed to estimate the system states, and an observer-based SMC is synthesized to ensure the reachability of the sliding surfaces in the state-estimation space. By constructing a novel mode-dependent Lyapunov-Krasovskii functional, some new criteria are established for the existence and the solvability of the desired observer-based sliding mode controller. Finally, numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed theoretical results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：374 / 395
页数：22
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