Delay-probability-distribution-dependent H∞ FIR filtering design with envelope constraints
Journal article, Peer reviewed
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OriginalversjonPeng, C., Yu, Z., Karimi, H. R., Wang, W., & Wang, N. (2013). Delay-probability-distribution-dependent H∞ FIR filtering design with envelope constraints. Mathematical Problems in Engineering, 2013, 1-9. doi: 10.1155/2013/930927 10.1155/2013/930927
This paper studies the problem of H∞ 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.
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/930927 Open Access