Filtering and ℓ1-gain analysis for 2-D positive system with Markov jump parameters

摘要

In this paper, the ℓ₁-gain performance is analyzed for the two-dimensional (2-D) Markov jump positive systems, which is generalized from the well-known Roesser model. Our attention is focused on designing a full-order filter for the 2-D positive system such that the filtering error system is stochastically asymptotically stable with ℓ₁-gain index. In terms of the linear programming approach, sufficient conditions are established for the existence and explicit design of the desired filter. Finally, an illustrative example is presented to show effectiveness of the proposed methods.