Stability regions for linear systems with saturating controls via circle and Popov criteria

Author

Pittet, C. ; Tarbouriech, S. ; Burgat, C.

Author_Institution

Lab. d´´Autom. et d´´Anal. des Syst., CNRS, Toulouse, France

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4518

Abstract

The problem of local stabilization of linear continuous-time systems subject to input saturation is addressed. The determination of stability regions for the saturated system is first considered via both the circle and Popov criteria. The absolute stability with a finite domain is thus studied from the resolution of some Riccati equations and quadratic optimization problems under linear constraints. Next, the synthesis of both state feedback controllers and stability domains is proposed via the use of linear matrix inequalities

Keywords

Popov criterion; Riccati equations; absolute stability; continuous time systems; control system synthesis; linear systems; matrix algebra; optimisation; state feedback; Popov criteria; Riccati equations; absolute stability; circle criteria; input saturation; linear constraints; linear continuous-time systems; linear matrix inequalities; quadratic optimization problems; saturating controls; stability domains; stability regions; state feedback controllers; Control systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Riccati equations; Stability criteria; State feedback; Symmetric matrices; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649683

Filename

649683