Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 17, 1992
- Accession Number
- ADA454878
Entities
People
- Eyad H. Abed
- Jyun-horng Fu
Organizations
- University of Maryland