Delay-Probability-Distribution-Dependent FIR Filtering Design with Envelope Constraints

Cheng Peng, Zhandong Yu, Hamid Reza Karimi, Weizhi Wang and Nan Wang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

This paper studies the problem of finite-impulse response (FIR) filtering design of time-delay system. The time-delay considered here is time-varying meanwhile with a certain stochastic characteristic, and the probability of delay distribution is assumed to be known. Furthermore, the requirement of pulse-shape is also considered in filter design. Employing the information about the size and probability distribution of delay, a delay-probability-distribution-dependent criterion is proposed for the filtering error system. Based on a Lyapunov-Krasovskii functional, a set of linear matrix inequalities (LMIs) are formulated to solve the problem. At last, a numerical example is used to demonstrate the effectiveness of the filter design approach proposed in the paper.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:930927

DOI: 10.1155/2013/930927

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