A modified homotopy method and H∞ robust controller design

被引：0

作者：

Liu, Bin ^{[1
,2
]}

Sun, Jiu-Qiang ^{[1
]}

Zhai, Zhi-Qiang ^{[3
]}

Li, Zhuo ^{[1
]}

Wang, Chang-Hong ^{[2
]}

机构：

[1] School of Electric Information Engineering, Northeast Petroleum University

[2] Space Control and Inertial Technology Research Center, Harbin Institute of Technology

[3] College of Engineering, Nanjing Agricultural University

来源：

Zidonghua Xuebao/Acta Automatica Sinica | 2013年 / 39卷 / 08期

关键词：

H[!sub]∞[!/sub] robust control; Homotopy method; Nevanlinna-Pick interpolation; Sensitivity function;

D O I：

10.3724/SP.J.1004.2013.01374

中图分类号：

学科分类号：

摘要：

A novel method of robust controller design with degree constraint is proposed for feedback control systems, where the performance indices are firstly transferred to the sensitivity function problem that will be solved by Nevanlinna-Pick interpolation. A modified homotopy method is presented to solve nonlinear equations induced by the sensitivity function problem. A new controller based on modified homotopy method is designed without using weighting functions, which can also overcome the defect of high order. At last, the 4th order plant is considered and the corresponding H1 robust controller with degree constraint is designed. It is be shown from simulations that the robust controller has not only lower degree than traditional robust controller, but also superior quality obviously. Copyright © 2013 Acta Automatica Sinica. All rights reserved.

引用

页码：1374 / 1380

页数：6

共 30 条

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