6533b85cfe1ef96bd12bc90f
RESEARCH PRODUCT
Delay-Probability-Distribution-Dependent FIR Filtering Design with Envelope Constraints
Weizhi WangNan WangHamid Reza KarimiCheng PengZhandong Yusubject
Article SubjectDistribution (number theory)lcsh:MathematicsGeneral MathematicsGeneral EngineeringLinear matrixlcsh:QA1-939Set (abstract data type)Filter designlcsh:TA1-2040Control theoryProbability distributionVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411lcsh:Engineering (General). Civil engineering (General)Envelope (mathematics)Mathematicsdescription
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 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Mathematical Problems in Engineering |