Title :
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
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;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261252
