Output Feedback Control for T-S Fuzzy Markov Jump Systems Subjected to Parameter-Dependent Dissipative Performance

Abstract

This article is committed to the matter of asynchronous dynamic output feedback control for a class of Takagi–Sugeno fuzzy Markov jump systems. The principal concept is to construct a high-level Markovian process governed controller under an asynchronous event-triggered scheme and to develop a time-varying dissipative index. As a salient feature that distinguishes it from the reported works with the common index, this paper firstly proposes a dissipative index with mode and membership functions-dependence. Secondly, governed by the high-level Markovian process, the asynchronous dynamic output feedback controller is constructed under the mode-dependent partitioned regions. Meanwhile, to mitigate the communication pressure, an asynchronous dynamic event-triggered mechanism is investigated with making allowances for the inaccessible system mode. What's more, as a first effort, this article presents a unified framework for co-designing the strategy of asynchronous event generators and controllers. This is done under the proposed performance index and the mode-dependent fuzzy state-space partitions, resulting in more design flexibility. Based on the mode and region-dependent Lyapunov functional, sufficient criteria are obtained to ensure the proposed dissipative performance and stochastic stability. Eventually, the practicabilities and advantages of the theoretic results are illustrated by a modified tunnel diode circuit model.