DocumentCode
3382573
Title
Linear feedback stabilization of critical bilinear systems
Author
Fu, Jyun-Horng
Author_Institution
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
fYear
1989
fDate
13-15 Dec 1989
Firstpage
1034
Abstract
Linear feedback stabilization of critical bilinear systems in which the zero-input linear system possesses either a simple zero eigenvalue or a pair of simple, purely imaginary eigenvalues is studied. The bilinear system loses its linearity through the applied feedback and may exhibit bifurcations if subject to parameter variation. Feedback control laws are developed to achieve the local asymptotic stability of the resulting nonlinear system, which is better than the stability possessed by the zero-input bilinear system
Keywords
eigenvalues and eigenfunctions; feedback; linear systems; nonlinear systems; stability; bifurcations; critical bilinear systems; imaginary eigenvalues; linear feedback stabilisation; linear systems; local asymptotic stability; nonlinear systems; zero eigenvalue; zero-input system; Asymptotic stability; Bifurcation; Closed loop systems; Control systems; Eigenvalues and eigenfunctions; Feedback control; Linearity; Nonlinear systems; State feedback; Statistics;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location
Tampa, FL
Type
conf
DOI
10.1109/CDC.1989.70281
Filename
70281
Link To Document