A Passive Repetitive Controller for Discrete-Time Finite-Frequency Positive-Real Systems

被引：9

作者：

Costa-Castello, Ramon ^{[1
]}

Wang, Danwei ^{[2
]}

Grino, Robert ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Inst Org & Control Sistemes Ind IOC, E-08028 Barcelona, Spain

[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 04期

关键词：

Discrete-time control; discrete-time passivity; finite-frequency positive realness; repetitive control; MIMO SYSTEMS; DESIGN; STABILITY;

D O I：

10.1109/TAC.2008.2009594

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 work proposes and studies a new internal model for discrete-time passive or finite-frequency positive-real systems which can be used in repetitive control designs to track or to attenuate periodic signals. The main characteristic of the proposed internal model is its passivity. This property implies closed-loop stability when it is used with discrete-time passive plants, as well as the broader class of discrete-time finite-frequency positive real plants. This work discusses the internal model energy function and its frequency response. A design procedure for repetitive controllers based on the proposed internal model is also presented. Two numerical examples are included.

引用

页码：800 / 804

页数：5

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