Asynchronous dissipative filter design of nonhomogeneous Markovian jump fuzzy systems via relaxation of triple-parameterized matrix inequalities

摘要

This paper investigates the problem of designing a dissipativity-based asynchronous filter for a class of nonhomogeneous discrete-time Markovian jump fuzzy systems with uncertainties. Different from previous works, the proposed approach opens a possibility to tackle more realistic problems of handling both asynchronism and nonhomogeneity phenomena of plant and filter modes. To be more concrete, this paper proposes a novel relaxation method capable of handling triple-parameterized matrix inequalities in such a way that central constraints on multiple time-varying parameters can be sufficiently exploited. Especially, an attempt to utilize the conditional relation between two nonhomogeneous Markov chains is first made to reduce the conservatism of two-step relaxation process that has to employ mutually uncorrelated slack variables for plant and filter modes. (C) 2018 Elsevier Inc. All rights reserved.