Robust stabilization for discrete-time nonlinear singular systems with mixed time delays

被引：12
|
作者：
Li, Jianning [1 ]
Su, Hongye [1 ]
Wu, Zhengguang [1 ]
Chu, Jian [1 ]
机构：
[1] Zhejiang Univ, Natl Lab Ind Control Technol, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2012年 / 14卷 / 05期
基金：
国家高技术研究发展计划(863计划);
关键词：
Nonlinear system; singular system; mixed time-delay; linear matrix inequality; SLIDING MODE CONTROL; H-INFINITY CONTROL; STOCHASTIC-SYSTEMS; STATE DELAY; STABILITY; DESIGN;
D O I：
10.1002/asjc.422
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 investigates the robust stability of discrete-time singular systems involving nonlinear disturbance and mixed time delays. The mixed time delays are comprised of both discrete and distributed delays. The interval of discrete time delays can be divided into several subintervals, firstly. Then, in terms of linear matrix inequality (LMI), a suitable state feedback controller is designed for discrete-time singular systems with nonlinear disturbance and mixed time delays, and the overall closed-loop system is regular, causal and mean square asymptotically stable. Numerical examples are provided to show the usefulness and effectiveness of the proposed methods, and the results derived from our approaches are less conservative than existing ones. Copyright (c) 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
引用
收藏
页码：1411 / 1421
页数：11
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