Linear feedback stabilization of nonlinear systems

Author

Fu, Jyun-Horng ; Abed, Eyad H.

Author_Institution

Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

58

Abstract

Linear feedback stabilization of nonlinear systems is studied for systems whose linearization possesses either a simple zero or an imaginary pair of eigenvalues that is uncontrollable. The results complement previous work on the synthesis of nonlinear stabilization control laws. Calculations related to the stability of bifurcation branches of related families of systems are employed in the analysis and synthesis of stabilization by linear feedback. One condition for stabilizability by linear feedback is that the open-loop linearized stable subsystem should have an adequate margin of stability

Keywords

control system analysis; control system synthesis; feedback; nonlinear control systems; stability; bifurcation branches; control system analysis; control system synthesis; linear feedback stabilisation; linearization; margin of stability; nonlinear systems; stabilizability; Bifurcation; Control system synthesis; Eigenvalues and eigenfunctions; Feedback; Mathematics; Nonlinear control systems; Nonlinear systems; Open loop systems; Stability; Stability analysis; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261252

Filename

261252