Title :
On the robustness of linear stabilizing feedback control for linear uncertain systems-multi-input case
Author :
Chao, Chien-Hsiang ; Stalford, Harold L.
Author_Institution :
Dept. of Mech. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
Abstract :
The robust stabilization of linear systems with constant uncertainties against structured perturbations using Lyapunov´s theory is investigated. The information needed on the uncertainties are their boundaries only. The matching conditions of the uncertain systems are not required to be satisfied. It is first shown that under certain assumptions the system can be transformed to a canonical controllable companion form. Under some additional assumptions the existence of a linear controller which stabilizes the system based on Lyapunov´s theory is shown
Keywords :
Lyapunov methods; feedback; linear systems; stability; Lyapunov method; canonical controllable companion form; linear uncertain systems; matching conditions; robustness; stability; stabilizing feedback control; structured perturbations; Chaos; Control systems; Equations; Feedback control; Linear systems; Mechanical engineering; Robust control; Uncertain systems; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194467
