Robust passive filter design for uncertain singular stochastic Markov jump systems with mode-dependent time delays

In this paper, we consider the problem of robust passive filter design for a uncertain singular stochastic system with mode-dependent time delays and Markovian jump parameters. The time delay varies in an interval and depends on the mode of operation. A new Markovian jump linear filter is designed to guarantee robust asymptotical stability and a prescribed disturbance attenuation level of the resulting filter for error systems. The resulting augmented system is regular, robust stochastically stable dependent of delays, impulse-free, and satisfies the proposed passive performance. A numerical example illustrates the effectiveness of the method.