Title :
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
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;
Conference_Titel :
Computing, Communication, Control, and Management, 2008. CCCM '08. ISECS International Colloquium on
Conference_Location :
Guangzhou
Print_ISBN :
978-0-7695-3290-5
DOI :
10.1109/CCCM.2008.378
