Abstract
This article examines the issue of event-triggered $L_{2}-L_\infty $ filtering for network-based neutral systems via Takagi-Sugeno (T-S) fuzzy approach. A dynamic discrete event-triggered scheme (ETS) is introduced to save the limited communication resource. Based on the T-S fuzzy model, the consider neutral type system with networked induced delays are represented as a class of T-S fuzzy system. In addition, by considering a suitable Lyapunov-Krasovskii functional (LKF) and by using the Wirtinger inequality technique, the stability conditions with respect to linear matrix inequalities (LMIs) are presented to guarantee the considered filtering systems are asymptotically stable with $L_{2}-L_{\infty }$ performance index $\gamma $ . To the end, numerical examples are given to illustrate the effectiveness of the proposed result.
Highlights
Takagi-Sugeno (T-S) fuzzy model [1] has been widely used design and analysis of fuzzy control systems
Combining a set of IF- rules with some fuzzy sets, makes it possible to approximate nonlinear systems with high precision using a series of linear subsystems
We present new delay-dependent conditions for the L2 − L∞ filtering performance analysis based on Definition 1, which ensure that the neutral system (20) is asymptotically stable for a defined L2 − L∞ performance γ
Summary
Takagi-Sugeno (T-S) fuzzy model [1] has been widely used design and analysis of fuzzy control systems. The authors in [31] has been discussed the event-triggered fault detection filter method for nonlinear networked systems. Event-triggered filtering for nonlinear networked control systems with T-S fuzzy approach has been examined in [34]. To the author’s knowledge, the event-triggered L2 − L∞ filtering for network-based neutral systems with time-varying delays via T-S fuzzy has not been fully investigated. As a result of the preceding discussions, this article discusses event-triggered L2 − L∞ filtering for network-based neutral T-S fuzzy systems. A new model of fuzzy filtering error system is provided under the consideration of dynamic discrete ETCS, which can save network resources. Various numerical examples are given to show the feasibility of the results with a practical application of the proposed method to a tunnel diode circuit model This implies the merit of derived delay-dependent conditions.
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