Title: Delay-dependent H_∞ control for LPV systems with time delays

Authors: Man Sun, Yingmin Jia, Junping Du, Shiying Yuan

Addresses: Seventh Research Division, Beihang University (BUAA), Beijing 100083, PR China. ' Seventh Research Division, Beihang University (BUAA), Beijing 100083, PR China. ' Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia, School of Computer Science and Technology, Beijing University of Posts and Telecommunications, Beijing 100876, PR China. ' School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, Henan, PR China

Abstract: In this paper, the delay-dependent H_∞ control problem is considered for Linear Parameter-Varying (LPV) systems with time-varying delays. By using a descriptor model transformation of the system and by applying Park|s inequality for bounding cross terms, some sufficient conditions on H_∞ performance analysis are given in terms of Linear Matrix Inequalities (LMIs). Based on these conditions the state-feedback controller is designed. A numerical example is included to illustrate the proposed method.

Keywords: LPV systems; time delays; H_∞ control; delay-dependent control; linear parameter-varying; linear matrix inequalities; LMIs; feedback control.

DOI: 10.1504/IJSCC.2008.021126

International Journal of Systems, Control and Communications, 2008 Vol.1 No.2, pp.256 - 265

Published online: 04 Nov 2008 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article