Title :
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
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;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470042
