Repetitive control by output error for a class of uncertain time-delay systems

被引：13

作者：

Quan, Q. ^{[1
]}

Yang, D. ^{[1
]}

Cai, K. -Y. ^{[1
]}

Jiang, J. ^{[2
]}

机构：

[1] Beijing Univ Aeronaut & Astronaut, Dept Automat Control, Beijing 100191, Peoples R China

[2] Chinese Acad Space Technol, Beijing 100094, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2009年 / 3卷 / 09期

基金：

中国国家自然科学基金;

关键词：

ROBUST TRACKING; STABILITY ANALYSIS; LEARNING CONTROL;

D O I：

10.1049/iet-cta.2008.0203

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of designing output error controllers to track periodic reference signals for a class of uncertain linear time-delay systems subject to periodic disturbances is addressed. A repetitive controller, which is a type of output error controller, is developed for these systems and a sufficient condition for stability of the closed-loop system is derived by applying the Lyapunov-Krasovskii functional and linear matrix inequalities (LMIs). In order to relax the stability condition, the theory of the modified repetitive control ( RC) system is extended to the systems represented by irrational transfer functions. Based on the extended theory of the modified RC system, a modified repetitive controller, another type of output error controller, is developed for these systems and sufficient conditions for stability of the closed-loop system are derived in terms of a frequency-domain criterion and LMI. Numerical simulations are presented to demonstrate the effectiveness of the proposed controllers.

引用

页码：1283 / 1292

页数：10

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