An analysis and design method for linear systems under nested saturation

Author

Bateman, Alec ; Lin, Zongli

Author_Institution

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

Volume

2

fYear

2002

fDate

2002

Firstpage

1198

Abstract

Considers a linear system under nested saturation. Nested saturation arises, for example, when the actuator is subject to magnitude and rate saturation simultaneously. 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 can be 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

asymptotic stability; closed loop systems; control nonlinearities; control system analysis; control system synthesis; feedback; invariance; linear systems; matrix algebra; optimisation; set theory; actuator; auxiliary feedback gains; closed-loop stability; contractively invariant ellipsoid; controller design; domain of attraction; linear matrix inequalities; linear systems; magnitude saturation; nested saturation; optimization problem; rate saturation; Constraint optimization; Control systems; Design methodology; Design optimization; Ellipsoids; Hydraulic actuators; Linear feedback control systems; Linear matrix inequalities; Linear systems; Stability analysis;

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.2002.1023182

Filename

1023182