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filtering for 2D Markovian jump systems. (English) Zbl 1149.93346
Summary: This paper is concerned with the problem of filtering for 2D discrete Markovian jump systems. The mathematical model of 2D jump systems is established upon the well-known Roesser model. Our attention is focused on the design of a full-order filter, which guarantees the filtering error system to be mean-square asymptotically stable and has a prescribed disturbance attenuation performance. Sufficient conditions for the existence of a desired filter are established in terms of linear matrix inequalities, and the corresponding filter design is cast into a convex optimization problem which can be efficiently solved by using commercially available numerical software. A numerical example is provided to illustrate the effectiveness of the proposed design method.
MSC:
93E11Filtering in stochastic control
60J10Markov chains (discrete-time Markov processes on discrete state spaces)
93E03General theory of stochastic systems