Title: Design of variable gain robust H_∞ controller for a class of uncertain Delta-operator-formulated time-delay system

Authors: Rui-quan Lin, Si-lian Chen, Ren-chong Peng

Addresses: College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350108, China. ' College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350108, China. ' College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350108, China

Abstract: On the basis of LMI, a design method of variable gain robust H_∞ controller for a class of uncertain Delta-operator-formulated time-delay system is presented in this paper. The controller gain variation is assumed to be additive-norm-bounded. A sufficient condition for the existence of the controller is formulated in LMI form, which is delay-independent. A numerical example is used to illustrate the effectiveness of the designed procedures. Through the analysis of the poles and the initial response curves of the closed-loop system, the results show that it is necessary to consider the variations of the controller parameters when we design a controller for the uncertain Delta-operator-formulated time-delay system.

Keywords: Delta operators; time-delay systems; H-infinity control; variable gain control; LMI; robust control; uncertainty; linear matrix inequality.

DOI: 10.1504/IJSCC.2011.039225

International Journal of Systems, Control and Communications, 2011 Vol.3 No.1, pp.53 - 63

Published online: 31 Mar 2015 *

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