Title :
Control of linear systems with affine constraints: a gain-scheduling approach
Author :
Grognard, F. ; Sepulchre, R. ; Bastin, G.
Author_Institution :
Center for Syst. Eng. & Appl. Mech., Univ. Catholique de Louvain, Belgium
Abstract :
A gain scheduling based on a one-parameter family of Lyapunov functions is presented for the control of linear systems with affine constraints. The tuning of the parameter in the control law is assumed to result from a trade-off between the size of the state-space domain where the constraints are satisfied and the closed-loop performance. A target controller is chosen for local performance in this family. The proposed online scheduling is aimed at reaching the target controller in the fastest possible way, while guaranteeing satisfaction of the constraints along closed-loop solutions
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; feedback; functions; invariance; linear systems; matrix algebra; state-space methods; tuning; Lyapunov functions; affine constraints; closed-loop performance; closed-loop solutions; gain-scheduling approach; one-parameter family; state-space domain; Control systems; Ear; Feedback control; Linear feedback control systems; Linear systems; Lyapunov method; Riccati equations; Size control; Strain control; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914685
