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

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...

Full description

Saved in:
Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 5; pp. 4518 - 4523 vol.5
Main Authors Pittet, C., Tarbouriech, S., Burgat, C.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Control systems
Linear feedback control systems
Linear matrix inequalities
Linear systems
Lyapunov method
Riccati equations
Stability criteria
State feedback
Symmetric matrices
Vectors
Online AccessGet full text

Cover

More Information
Summary: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.
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.649683