H∞ control for time-delay piecewise affine with constrained ellipsoid

Author

Liu, Zhilin ; Zhu, Qidan ; Wang, Lihui ; Cai, Chengtao

Author_Institution

Coll. of Autom., Harbin Eng. Univ., Harbin, China

fYear

2009

fDate

17-19 June 2009

Firstpage

4236

Lastpage

4240

Abstract

This paper dealt with the stabilization problem of a discrete-time piecewise affine (PWA) systems with time-delay. An H_infin state feedback controller design is proposed, and the PWA system was described as ellipsoid which characterized by a set of vector inequalities..thereby the constraint of linear matrix inequalities (LMIs) was released. In terms of LMIs, the time-delay PWA system was stabilized in Lyapunov theory, and the minimum problem of the H_infin performance index can be cast as a convex optimization problem with LMIs constraints. The simulation results verified the effectiveness of the proposed method.

Keywords

H^infin control; Lyapunov methods; control system synthesis; delays; discrete time systems; linear matrix inequalities; optimisation; performance index; state feedback; H_infin performance index; H_infin state feedback controller design; Lyapunov theory; constrained ellipsoid; convex optimization problem; discrete-time piecewise affine systems; linear matrix inequalities; stabilization problem; time-delay piecewise affine; vector inequalities; Automatic control; Control systems; Delay effects; Educational institutions; Ellipsoids; Feedback control; Linear matrix inequalities; State feedback; Symmetric matrices; Vectors; Ellipsoid; Piecewise Affine; Time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2009. CCDC '09. Chinese

Conference_Location

Guilin

Print_ISBN

978-1-4244-2722-2

Electronic_ISBN

978-1-4244-2723-9

Type

conf

DOI

10.1109/CCDC.2009.5192036

Filename

5192036