Multiplier theory for stability analysis of anti-windup control systems

被引：124

作者：

Kothare, MV

Morari, M

机构：

[1] Swiss Fed Inst Technol, Automat Control Lab, CH-8092 Zurich, Switzerland

[2] Lehigh Univ, Dept Chem, Bethlehem, PA 18015 USA

来源：

AUTOMATICA | 1999年 / 35卷 / 05期

基金：

美国国家科学基金会;

关键词：

control nonlinearities; actuators; integral control; constraints; nonlinear systems; stability criteria; stability analysis; anti-windup; bumpless transfer; passivity theorem; linear matrix inequality; multipliers; absolute stability; multivariable control;

D O I：

10.1016/S0005-1098(98)00229-5

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 apply the passivity theorem with appropriate choice of multipliers to develop a general framework for analyzing stability of anti-windup bumpless transfer (AWBT) schemes. For appropriate choices of the multipliers, we reduce the resulting sufficient conditions for stability to equivalent linear matrix inequalities (LMIs). We show that a number of previously reported attempts to analyze AWBT stability, using seemingly diverse techniques such as the Popov, circle and off-axis circle criteria, the optimally scaled small-gain theorem (generalized mu upper bound) and describing functions can all be generalized within the framework of this paper. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：917 / 928

页数：12

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