Tractable stability analysis for systems containing repeated scalar slope-restricted nonlinearities

被引：9
|
作者：
Turner, Matthew C. [1 ]
Kerr, Murray L. [2 ]
Sofrony, Jorge [3 ]
机构：
[1] Univ Leicester, Dept Engn, Control & Instrumentat Res Grp, Leicester LE1 7RH, Leics, England
[2] Deimos Space SL, Madrid 28760, Spain
[3] Univ Nacl Colombia, Dept Mechatron, Bogota, Colombia
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 07期
关键词：
absolute stability; slope-restricted nonlinearity; sector bounds; integral quadratic constraints; anti-windup; INTEGRAL-QUADRATIC CONSTRAINTS; REPEATED MONOTONE NONLINEARITIES; ZAMES-FALB MULTIPLIERS; MIMO NONLINEARITIES; SECTOR; CRITERIA;
D O I：
10.1002/rnc.3122
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 paper proposes an LMI-based approach for studying the stability of feedback interconnections of a finite dimensional LTI system and a nonlinear element that consists of several identical scalar nonlinearities that have restrictions on their sector and slope. The results are based on the integral quadratic constraint stability analysis framework and other recent results that give a sharp characterisation of stability multipliers for monotone, repeated scalar nonlinearities. Several examples show the effectiveness of the proposed approach; the lack of conservatism in the results is noteworthy. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：971 / 986
页数：16
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