An analysis and design method for discrete-time linear systems under nested saturation

Author

Bateman, Alec ; Lin, Zongli

Author_Institution

Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA

Volume

1

fYear

2002

fDate

2002

Firstpage

662

Abstract

The paper considers a discrete time linear system under nested saturation. Nested saturation arises, for example, in systems with actuators subject to both magnitude and rate saturation. A condition is derived in terms of a set of auxiliary feedback gains for determining if a given ellipsoid is contractively invariant. Moreover, this condition is shown to be equivalent to linear matrix inequalities (LMIs) in the actual and auxiliary feedback gains. As a result, the estimation of the domain of attraction for a given set of feedback gains is formulated as an optimization problem with LMI constraints. By viewing the feedback gains as extra free parameters, the optimization problem can be used for controller design.

Keywords

control nonlinearities; control system analysis; control system synthesis; discrete time systems; feedback; linear systems; matrix algebra; optimisation; auxiliary feedback gains; controller design; discrete-time linear systems; domain of attraction; linear matrix inequalities; magnitude saturation; nested saturation; rate saturation; Control systems; Design methodology; Design optimization; Ellipsoids; Hydraulic actuators; Linear feedback control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1024886

Filename

1024886