Circle and Popov criteria as tools for nonlinear feedback design

被引：65

作者：

Arcak, M ^{[1
]}

Larsen, M

Kokotovic, P

机构：

[1] Rensselaer Polytech Inst, Dept Elect Comp & Syst Engn, Troy, NY 12180 USA

[2] Informat Syst Labs Inc, San Diego, CA 92121 USA

[3] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

AUTOMATICA | 2003年 / 39卷 / 04期

基金：

美国国家科学基金会;

关键词：

circle criteria; Popov criteria; nonlinear feedback design;

D O I：

10.1016/S0005-1098(02)00276-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We convert classical absolute stability criteria into nonlinear design procedures which employ efficient numerical tools, such as LMI's. We first analyze an earlier circle criterion design, and show that its feasibility is limited by conditions on the unstable part of the zero dynamics and the relative degree. Then, we develop an extended circle criterion design which eliminates the relative degree obstacle. The restrictions on the zero dynamics are relaxed by using the Popov multiplier, which also reduces controller complexity. The results are illustrated with several design examples. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：643 / 650

页数：8

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