A unified method to energy-to-peak filter design for networked Markov switched singular systems over a finite-time interval.

摘要

For a class of networked singular Markov switched discrete-time systems, this work investigates the finite-time energy-to-peak filtering problem. The system modes information is transmitted though an unreliable communication link in the systems under consideration, where the packet dropout phe-nomenon, modes information available to the filter and asynchronous phenomenon between filter modes and system modes are randomly occurring with a certain probability and described by some Bernoulli distributed white sequence variables. The objective is focused on designing a unified filter, which covers mode-independent filter, asynchronous filter and mode-dependent filter, so that the estimation error sys-tem is finite-time bounded while meets a fixed energy-to-peak performance requirement in the presence of those stochastic phenomena. By employing a probability-dependent Lyapunov-Krasovskii function, some sufficient criteria are established to make sure that there is a feasible solution to the addressed problem. Moreover, with the help of a novel simple matrix decoupling approach, the filter gains are obtained. In the end, we employ a numerical example with simulation to show the serviceability of the presented method. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.