Design of Decentralized Repetitive Control of Linear MIMO System

被引：0

作者：

Kurniawan, Edi ^{[1
]}

Cao, Zhenwei ^{[1
]}

Man, Zhihong ^{[1
]}

机构：

[1] Swinburne Univ Technol, Fac Engn & Ind Sci, Hawthorn, Vic 3122, Australia

来源：

PROCEEDINGS OF THE 2013 IEEE 8TH CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA) | 2013年

关键词：

repetitive control; decentralized control; MIMO system;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper proposes decentralized repetitive control (RC) design for multiple inputs multiple outputs (MIMO) system. The design comprises in both continuous and discrete-time domain. A decentralized stabilizing controller is firstly developed in continuous-time to achieve a desired complimentary sensitivity function. Relative Gain Array (RGA) analysis is used to obtain the best pairings of inputs and outputs. Then, robustness analysis is conducted to determine the impact of neglected couplings. Secondly, the RC is designed in discrete-time based on the information of complimentary sensitivity function. A set of low order, stable and causal repetitive control compensators are developed using a new frequency domain method. The proposed RC compensator works for both minimum and non-minimum phase system. Simulation results for linear MIMO model of pick and place robot arm are presented to validate the effectiveness of the design.

引用

页码：427 / 432

页数：6

共 22 条

[1] ON A NEW MEASURE OF INTERACTION FOR MULTIVARIABLE PROCESS CONTROL [J].

BRISTOL, EH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (01) :133-+

[2]

Cao Z, 2006, ISSCAA 2006: 1ST INTERNATIONAL SYMPOSIUM ON SYSTEMS AND CONTROL IN AEROSPACE AND ASTRONAUTICS, VOLS 1AND 2, P1468

[3]

Cao ZW, 2001, IEEE DECIS CONTR P, P4885, DOI 10.1109/CDC.2001.980982

[4] Digital control of repetitive errors in disk drive systems [J].

Chew, Kok Kia ;

Tomizuka, Masayoshi .

IEEE Control Systems Magazine, 1990, 10 (01) :16-20

[5] STEADY-STATE AND STOCHASTIC PERFORMANCE OF A MODIFIED DISCRETE-TIME PROTOTYPE REPETITIVE CONTROLLER [J].

CHEW, KK ;

TOMIZUKA, M .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1990, 112 (01) :35-41

[6]

Cosner C., 1990, Proceedings 1990 IEEE International Conference on Robotics and Automation (Cat. No.90CH2876-1), P1970, DOI 10.1109/ROBOT.1990.126295

[7] INTERNAL MODEL PRINCIPLE FOR LINEAR-MULTIVARIABLE REGULATORS [J].

FRANCIS, BA ;

WONHAM, WM .

APPLIED MATHEMATICS AND OPTIMIZATION, 1975, 2 (02) :170-194

[8]

Goodwin G. C., 2000, CONTROL SYSTEM DESIG

[9]

HILLERSTROM G, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P136

[10]

Hillerstrom G., 1996, P IFAC WORLD C SAN F, P1

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