Design of variable gain robust H_∞ controller for a class of uncertain Delta-operator-formulated time-delay system
by Rui-quan Lin, Si-lian Chen, Ren-chong Peng
International Journal of Systems, Control and Communications (IJSCC), Vol. 3, No. 1, 2011

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.

Online publication date: Tue, 31-Mar-2015

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