On Finite frequency performance for discrete linear time delay systems

Zhongyang Fei, Chaoxu Guan, Zhicheng Li and Yinliang Xu

International Journal of Systems Science, 2017, vol. 48, issue 7, 1548-1555

Abstract: This paper is concerned with the finite frequency H∞ performance of discrete linear systems with time delay. The disturbance of the system is considered to be restricted in low/middle/high frequency. A novel summation inequality is proposed by including more free weighed matrices. Then by using generalised Kalman–Yakubovich–Popov Lemma and a Lyapunov–Krasovskii functional like method, a new bounded real lemma is presented for the finite frequency H∞ performance analysis. The advantages and reduced conservatism of the new criterion are illustrated by a classical example from the literature.

Date: 2017
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DOI: 10.1080/00207721.2016.1271917

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