An adaptive event-Triggered scheme of extended dissipative filter for interval type-2 delayed T-S fuzzy networked Markov jump systems with intermediate measurements

Abstract

In this paper, a finite-time adaptive event-triggered dissipative filtering problem for the interval type-2 (IT-2) Takagi-Sugeno (T-S) fuzzy networked Markov jump systems (NMJs) is investigated based upon the time-varying delays. By designing a generalized performance index, the H∞,L2−L∞ and dissipative performances for fuzzy filtering problems with network transmission delay are addressed in a unified framework. In the design process, two essential factors, intermittent data packet dropouts and delay factors in the fuzzy filter are taken into consideration. In order to rationally utilize network resources and elaborately avoid unnecessary continuous monitoring, an adaptive event-triggered scheme is designed to guarantee that the IT–2 T-S fuzzy NMJSs are finite-time boundedness, and thus lowering the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this paper, the parameters of the triggering function are based on a new adaptive law which is obtained online rather than a predefined constant. Based on the Lyapunov stability theory and appropriate inequality, some sufficient criteria in the form of linear matrix inequalities are obtained to ensure the stability of the resulting error system. Finally, an illustrative example is provided to demonstrate the effectiveness and superiority of the proposed method.