Title :
Stabilization of nonlinear systems with moving equilibria
Author :
Zecevic, A.I. ; Siljak, D.D.
Author_Institution :
Dept. of Electr. Eng., Santa Clara Univ., CA, USA
fDate :
6/1/2003 12:00:00 AM
Abstract :
This note provides a new method for the stabilization of nonlinear systems with parametric uncertainty. Unlike traditional techniques, our approach does not assume that the equilibrium remains fixed for all parameter values. The proposed method combines different optimization techniques to produce a robust control that accounts for uncertain parametric variations, and the corresponding equilibrium shifts. Comparisons with analytical gain scheduling are provided.
Keywords :
nonlinear control systems; nonlinear dynamical systems; stability; LMI; analytical gain scheduling; linear matrix inequalities; moving equilibria; nonlinear system stabilization; optimization techniques; parametric uncertainty; robust control; uncertain parametric variations; Control systems; Linear matrix inequalities; Nonlinear systems; Optimization methods; Power system stability; Processor scheduling; Robust control; Robust stability; Stability analysis; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.812791