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

共 50 条

[21] Robust Preview Control for Uncertain Discrete-time Systems
Wang, Di
Liao, Fucheng
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 2028 - 2031
[22] A Descriptor System Approach to Discrete-Time Sliding Mode Control for Uncertain Systems with Time-Varying Delays
Yan, Maode
Mehr, Aryan Saadat
Shi, Yang
[J]. PROCEEDINGS OF THE 2008 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2008, : 144 - +
[23] Robust stability criteria for a class of uncertain discrete-time systems with time-varying delay
Ramakrishnan, K.
Ray, G.
[J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 1468 - 1479
[24] Robust Exponential Stability of Uncertain Discrete-Time Systems with Interval Time-Varying Delay
Lien, Chang-Hua
Chen, Jenq-Der
Yu, Ker-Wei
Lee, Chin-Tan
Chen, Ruey-Shin
Yang, Chyi-Da
[J]. PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON INTELLIGENT TECHNOLOGIES AND ENGINEERING SYSTEMS (ICITES2013), 2014, 293 : 461 - 468
[25] Robust stability of linear uncertain discrete-time systems with interval time-varying delay
Parlakci, Mehmet Nur Alpaslan
[J]. TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, 2014, 22 (03) : 650 - 662
[26] Robust Stability and Stabilization for Uncertain Discrete-Time Fuzzy Systems with Time-Varying Delay
Yoneyama, Jun
[J]. ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3, 2009, : 1022 - 1027
[27] Delay-Dependent Robust Control for Discrete-Time Uncertain Stochastic Systems With Time-Varying Delays
Ku, Cheung-Chieh
Chen, Guan-Wei
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (10):
[28] Robust stabilization of hybrid uncertain stochastic systems with time-varying delay by discrete-time feedback control
Li, Yuyuan
Kou, Chunhai
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[29] New Robust Stability Condition for Uncertain Discrete-Time Systems with Time-Varying Delay
Hara, Masatoshi
Yoneyama, Jun
[J]. 2008 PROCEEDINGS OF SICE ANNUAL CONFERENCE, VOLS 1-7, 2008, : 708 - 712
[30] Robust passive control for uncertain discrete-time systems with time-varying delays
Cui, BT
Hua, MG
[J]. CHAOS SOLITONS & FRACTALS, 2006, 29 (02) : 331 - 341

← 1 2 3 4 5 →