A novel approach to stability analysis of multivariable Lur´e systems

Author

Lee, Chun-Mo ; Juang, Jyh-Ching

Author_Institution

Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Volume

1

fYear

2005

fDate

29 July-1 Aug. 2005

Firstpage

199

Abstract

A new approach via the real structured singular value analysis is proposed to test for the absolute stability of multivariable Lur´e systems. The approach presented in this paper holds for any sector-bounded, slope-restricted or secant-restricted nonlinearities commonly encountered in Lur´e systems. In addition, not only does it yield sharp stability bound, but also it removes some essential assumptions made in other existing results. Moreover, our algorithm can be easily and systematically extended to some more involved configurations, such as a Lur´e type system involved in two or more nonlinearities in different locations, or a multilayer recurrent neural network.

Keywords

control nonlinearities; control system analysis; multivariable control systems; nonlinear control systems; recurrent neural nets; stability; multilayer recurrent neural network; multivariable Lur´e systems; secant-restricted nonlinearities; sector-bounded nonlinearities; singular value analysis; slope-restricted nonlinearities; stability analysis; Linear systems; Multi-layer neural network; Neurofeedback; Recurrent neural networks; Robust stability; Stability analysis; Stability criteria; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Automation, 2005 IEEE International Conference

Print_ISBN

0-7803-9044-X

Type

conf

DOI

10.1109/ICMA.2005.1626547

Filename

1626547