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

Volume

5

fYear

2000

fDate

2000

Firstpage

4785

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914685

Filename

914685