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Design of reduced-order H filter for Markovian jumping systems with time delay

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4 Author(s)

This brief is concerned with the reduced-order H filtering problem for Markovian jumping linear systems with time delay, where the jumping parameters are modeled by a discrete-time Markov process. Sufficient conditions for the existence of the reduced-order H filter are proposed in terms of linear matrix inequalities (LMI) and a coupling nonconvex matrix rank constraint. In particular, the sufficient conditions for the existence of the zeroth-order (or static) H filter can be expressed in terms of a set of strict LMIs. The explicit parameterization of the desired filter is also given. Finally, a numerical example is given to illustrate the proposed approach.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:51 ,  Issue: 11 )