Title :
Linear feedback stabilization of critical bilinear systems
Author_Institution :
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
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;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70281
