Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode

Thumbnail Image
Files
TR_91-46.pdf(1.16 MB)
No. of downloads: 659
Publication or External Link
Date
1991
Authors
Fu, Jyun-Horng
Abed, Eyad H.
Advisor
Citation
DRUM DOI
Abstract
Linear feedback stabilization of nonlinear systems is studied for systems whose linearization at an equilibrium point possesses a simple critical mode that is uncontrollable. The results complement previous work on the synthesis of nonlinear stabilizing control laws. The present work addresses continuous- time systems for which the linearization has either a simple zero eigenvalue or a pair of simple pure imaginary eigenvalues. Both the stability analysis and stabilizing control design employ results on stability of bifurcations of parametrized systems
Notes
Rights