Improve results on delay-dependent robust H_∞ control for uncertain systems with interval time-varying delay
by Junjun Hui; Hexin Zhang; Xiangyu Kong; Xin Zhou
International Journal of Automation and Control (IJAAC), Vol. 8, No. 3, 2014

Abstract: This paper considers the delay-dependent robust H_∞ control problem for a class of linear systems with interval time-varying delay and norm-bounded uncertainties. An improved delay-dependent bounded real lemma (BRL) for the systems is established based on a new candidate Lyapunov-Krasovskii (L-K) functional and linear matrix inequality (LMI). Then by applying the BRL, a memoryless state feedback H_∞ controller such that the resulting closed-loop system is asymptotically stable and satisfied a prescribed H_∞ performance level for all admissible uncertainties is deduced. Finally, numerical examples are provided to demonstrate the effectiveness and benefits of the proposed method.

Online publication date: Thu, 28-Aug-2014

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