Robust adaptive sliding mode control for uncertain discrete-time systems with time delay

被引：90

作者：

Xia, Yuanqing ^{[2
]}

Zhu, Zheng ^{[2
]}

Li, Chunming ^{[1
]}

Yang, Hongjiu ^{[2
]}

Zhu, Quanmin ^{[3
]}

机构：

[1] Beijing Inst Technol, Sch Mech & Vehicular, Beijing 100081, Peoples R China

[2] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China

[3] Univ W England, Fac Comp Engn & Math Sci, Bristol BS16 1QY, Avon, England

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Discrete-time systems; Adaptive control; Time delay; Sliding mode control; Linear matrix inequality; OUTPUT-FEEDBACK STABILIZATION; STABILITY; CRITERIA;

D O I：

10.1016/j.jfranklin.2009.10.011

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 focuses on robust adaptive sliding mode control for discrete-time state-delay systems with mismatched uncertainties and external disturbances. The uncertainties and disturbances are assumed to be norm-bounded but the bound is not necessarily known. Sufficient conditions for the existence of linear sliding surfaces are derived within the linear matrix inequalities (LMIs) framework by employing the free weighting matrices proposed in He et al. (2008) [3], by which the corresponding adaptive controller is also designed to guarantee the state variables to converge into a residual set of the origin by estimating the unknown upper bound of the uncertainties and disturbances. Also, simulation results are presented to illustrate the effectiveness of the control strategy. (c) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：339 / 357

页数：19

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