Delay-Independent H ∞ Filtering for Switched Systems with a Constant Delay

This chapter deals with the problem of H ∞ filtering for discrete-time switched linear system with a constant delay. Switched linear filters are designed to ensure that the filtering error systems under arbitrary switching signals are stable with a prescribed H ∞ noise attenuation level. Switched Lyapunov function approach is employed to analyze the stability of the filtering error systems. A new linearization technique is proposed to construct the parameters of filters. Simulation results verify the effectiveness of the developed method.