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Network-based \(H_{\infty}\) control for T-S fuzzy systems with an adaptive event-triggered communication scheme. (English) Zbl 1381.93065

Summary: This paper extends the prior work of discrete event-triggered communication for networked T-S fuzzy systems, where the next communication instant is determined by an event-triggered communication scheme with a constant threshold and the premises of T-S fuzzy systems and Parallel Distribution Compensation (PDC) fuzzy control rules are synchronous. Firstly, an adaptive event-triggered communication scheme for NCSs is presented, which relaxes the assumption of the prior work that the threshold of event-triggered communication scheme is a preselected constant. Secondly, an asynchronous premise re-construct method for networked T-S fuzzy systems is proposed, which relaxes the assumption of the prior work that the premises of the plant and the PDC control rules are synchronous. We show that the number of transmitted packets generated by the proposed scheme is smaller than those generated by some existing ones while ensuring the desired control performance. Simulations show the effectiveness of the proposed method.

MSC:

93C42 Fuzzy control/observation systems
93B36 \(H^\infty\)-control
90B18 Communication networks in operations research
93C40 Adaptive control/observation systems
93C65 Discrete event control/observation systems
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