Delay-Dependant Decentralized H, Filtering for Uncertain Interconnected Systems

This paper considers delay dependant decentralized H_infin filtering for a class of uncertain interconnected systems, where the uncertainties are assumed to satisfy the norm-bounded conditions. First, combining the Lyapunov-Krasovskii functional approach and the delay integral inequality of matrices, a sufficient condition of the existence of the robust decentralized H_infin filter is derived which makes the error systems asymptotically stable and satisfies the H_infin norm of the transfer function from noise input to error output less than the specified up-bound based on the form of uncertainties. Then, the above sufficient condition is transformed to a system of easily solvable LMIs via a series of equivalent transformation. Using the LMI toolbox of Matlab software, these LMIs can be directly solved. Finally, the numerical simulation shows the validity of the main results.