New results for analysis of systems with repeated nonlinearities

被引：75

作者：

D'Amato, FJ

Rotea, MA ^{[1
]}

Megretski, AV

Jönsson, UT

机构：

[1] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA

[2] MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA

[3] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

AUTOMATICA | 2001年 / 37卷 / 05期

基金：

美国国家科学基金会; 瑞典研究理事会;

关键词：

stability criteria; control system analysis; multipliers; repeated nonlinearity; integral quadratic constraints;

D O I：

10.1016/S0005-1098(01)00009-7

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 work presents new results for analysis of systems with repeated monotonic or slope restricted nonlinearities. We first give new integral quadratic constraints (IQCs) that are satisfied by the inputs and outputs of diagonal operators with equal, monotonic or slope restricted, diagonal entries. Then, we present new analysis results For systems with repeated nonlinearities, obtained using the new IQCs. For the type of nonlinearities considered in this work, the new results are less conservative than previously known results. The computation of the new conditions is discussed. The results in this paper apply also to problems with nonrepeated nonlinearities whenever these are representable as the interconnection of multiple repeated nonlinearities and a constant matrix. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：739 / 747

页数：9

共 19 条

[1]

[Anonymous], LECT NOTES CONTROL I

[2]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[3] Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities [J].