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

被引：7

作者：

Ren, Junchao ^{[1
]}

Jiang, Changbin ^{[1
]}

机构：

[1] Northeastern Univ, Coll Sci, Shenyang 110819, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING | 2022年 / 236卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Preview control; sliding mode control; discrete-time system; small gain theorem; linear matrix inequality; H-INFINITY; TRACKING CONTROL; DESIGN;

D O I：

10.1177/09596518211055358

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 article focuses on the problem of robust sliding mode preview control for a class of non-linear delayed systems. It is assumed that the reference signal is previewed with a fixed length ahead and the norm of uncertainty is bounded. A model transformation is introduced to approximate the time-varying delay such that augmented error systems can be constructed. Conditions of asymptotic stability of sliding motion are established via the small gain theorem. The sliding mode preview controller is designed such that the controlled system state can be attracted to the switching surface and keep on it thereafter. A numerical example is presented to illustrate the effectiveness of the proposed control design.

引用

页码：772 / 782

页数：11

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