State Feedback Control Strategy Based on Ellipsoid for Piecewise Affine System with Time-Delay

Author

Mu, Xiangyong ; Liu, Zhilin ; Pei, Run

Author_Institution

Dept. of Control Sci. & Eng., Harbin Inst. of Technol., Harbin

Volume

2

fYear

2008

fDate

3-4 Aug. 2008

Firstpage

61

Lastpage

65

Abstract

This paper deals with a discrete-time piecewise affine (PWA) systems with time-delay. The PWA systems is described as ellipsoid which can be characterized by a set of vector inequalities, thereby the constraint of linear matrix inequalities (LMIs) is released. In terms of LMIs, the time-delay PWA system can be stabilized in Lyapunov theory. A convex optimization problem with LMIs constraints is formulated to design the controller. The simulation results verify the effectiveness of the proposed method.

Keywords

Lyapunov methods; control system synthesis; delay systems; discrete time systems; linear matrix inequalities; optimisation; stability; state feedback; LMI; Lyapunov theory; controller design; convex optimization problem; discrete-time piecewise affine systems; linear matrix inequalities; piecewise affine system; state feedback control strategy; time-delay system; vector inequalities; Automatic control; Bismuth; Communication system control; Control systems; Ellipsoids; Feedback control; Linear matrix inequalities; Nonlinear systems; State feedback; Symmetric matrices; Ellipsoid; LMI; Piecewise Affine; Time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Computing, Communication, Control, and Management, 2008. CCCM '08. ISECS International Colloquium on

Conference_Location

Guangzhou

Print_ISBN

978-0-7695-3290-5

Type

conf

DOI

10.1109/CCCM.2008.378

Filename

4609642