The effects of state feedback and input transformation with application to Lur´e systems

Author

Duan, Zhisheng ; Wang, Jin-Zhi ; Huang, Lin

Author_Institution

Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China

fYear

2005

fDate

8-10 June 2005

Firstpage

715

Abstract

Given a linear system, necessary and sufficient conditions are established for the existence of a state feedback and input transformation such that the closed-loop system becomes extended strictly positive real (ESPR) or SPR. The application to Lur´e systems is also given. The results show that a multivariable Lur´e system with bounded sector constraints can always be stabilized by a state feedback and input/output coupling under a stabilizability condition. An extended Chua´s circuit with two nonlinear functions is given as an example to illustrate the results.

Keywords

Chua´s circuit; closed loop systems; control system analysis; linear systems; multivariable control systems; nonlinear control systems; optimal control; stability; stability criteria; state feedback; Chua´s circuit; Lure systems; closed-loop system; input transformation; input-output coupling; linear system; multivariable system; stability; state feedback; strictly positive real; Adaptive control; Control theory; Coupling circuits; Feedback control; Linear systems; Optimal control; Stability analysis; State feedback; Sufficient conditions; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470042

Filename

1470042