\(H_{\infty }\) filtering for a class of piecewise homogeneous Markovian jump nonlinear systems
Summary: \(H_{\infty}\) filtering problem for a class of piecewise homogeneous Markovian jump nonlinear systems is investigated. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed \(H_{\infty}\) disturbance attenuation level. By using a new mode-dependent Lyapunov-Krasovskii functional, mixed mode-dependent sufficient conditions on stochastic stability are formulated in terms of linear matrix inequalities (LMIs). Based on this, the mode-dependent filter is obtained. A numerical example is given to illustrate the effectiveness of the proposed main results.
scientific article; zbMATH DE number 6173511
scientific article