Robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation

被引：51
|
作者：
Ma, Yuechao [1 ]
Jia, Xiaorui [1 ]
Liu, Deyou [1 ]
机构：
[1] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Hebei, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 286卷
基金：
美国国家科学基金会;
关键词：
Robust finite-time H-infinity control; Singular stochastic finite-time boundedness; Discrete-time singular system; Actuator saturation; Linear matrix inequality; Convex optimization problem; LINEAR-SYSTEMS; STABILITY ANALYSIS; NONLINEAR-SYSTEMS; FEEDBACK-CONTROL; STABILIZATION; SUBJECT; UNCERTAINTIES; DESIGN;
D O I：
10.1016/j.amc.2016.03.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of robust finite-time H-infinity control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation is studied. First, sufficient conditions that guarantee the systems singular stochastic finite-time boundedness are derived via constructing a delay-dependent Lyapunov-Krasonskii functional and linear matrix inequalities (LMI) approaches. Then the results are extended to singular stochastic finite-time H-infinity boundedness. Furthermore, with these conditions and convex optimization arithmetic, the design method of H-infinity controller and conditions that ensure the H-infinity disturbance attenuation level are obtained. Finally, some numerical examples are presented to illustrate the validity and efficiency of the proposed methods. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：213 / 227
页数：15
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