Title :
Stabilization of bilinear systems with unstable drift
Author :
Torres-Torriti, Miguel ; Michalska, Hannah
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
A simple and computationally feasible approach to feedback stabilization of a class of bilinear systems with unstable drift is presented. Stabilization is achieved in two stages: a reaching phase, in which the control drives the trajectories to a stable manifold; and a sliding phase, in which states are steered to the origin along an ensemble of stable manifolds. The construction of the control is based on a combination of Lyapunov and Lie algebraic techniques.
Keywords :
Lie algebras; Lyapunov methods; bilinear systems; computational complexity; control system synthesis; feedback; stability; Lie algebraic techniques; Lyapunov techniques; bilinear system stabilization; computationally feasible approach; feedback stabilization; reaching phase; sliding phase; stable manifold; stable manifold ensemble; unstable drift; Algebra; Control systems; Feedback control; Linear systems; Lyapunov method; Nonlinear systems; Phase control; State-space methods; Vectors;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024467
