Decentralized H_∞ Filtering for Interconnected Time-Delay Systems

For a class of interconnected time-delay systems,a linear filter was designed for each subsystem by using the output of the subsystem as the input of the designed filter.Based on Lyapunov-Krasovskii functional method,a delay-independent sufficient condition of the existence of the linear filter was obtained.For the convenience of the filter design,a decoupling algorithm was applied to transform the obtained sufficient condition into a linear matrix inequality(LMI) which can be easily solved.Furthermore,the filter design problem was changed to a convex optimization solving problem constrained by LMI to achieve good H∞ performances.A numerical example demonstrates the feasibility of the proposed filter design method.