Second-Order Integral Sliding Mode Control for Uncertain Systems With Control Input Time Delay Based on Singular Perturbation Approach

被引：53

作者：

Zhang, Xiaoyu ^{[1
]}

Su, Hongye ^{[2
]}

Lu, Renquan ^{[3
]}

机构：

[1] North China Inst Sci & Technol, Dept Elect & Informat Engn, East Beijing 101601, Peoples R China

[2] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China

[3] Hangzhou Dianzi Univ, Automatizat Engn Coll, Hangzhou 310018, Zhejiang, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Control input time delay; integral sliding mode; LMI; robust control; STABILITY ANALYSIS; EQUATION;

D O I：

10.1109/TAC.2015.2411991

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 note proposes a robust integral sliding mode (RISM) manifold and a corresponding design method for stabilization control for uncertain systems with control input time delay. Delay-independent sufficient condition for the existence of the RISM surface is given in terms of LMI. An improved sliding mode control (SMC), which is delay-dependent and suitable for small input time delay, keeps system stay on the neighborhood of the RISM surface in finite time. With uncertainties and disturbances, the reaching condition for the neighborhood of the RISM is satisfied. Furthermore, the control makes second-order sliding mode. Based on a numerical example, the proposed method is verified to be efficient and feasible.

引用

页码：3095 / 3100

页数：6

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