Fuzzy model-based controller synthesis for networked nonlinear systems with event triggering communication scheme

Changzhu Zhang, Mengjiao Shen, Zhuping Wang, Chengju Liu and Jinfei Hu

International Journal of Systems Science, 2019, vol. 50, issue 2, 379-391

Abstract: In this paper, the problem of event-triggered $ \mathcal {H}_{\infty } $ H∞ piecewise controller design is concerned for discrete-time networked nonlinear systems represented by T–S fuzzy models. Based on the event triggering communication strategy, only the state information of the plant that violates a predefined triggering condition is transmitted in the shared communication channels. Considering that the premise variables of the plant in the form of T–S fuzzy representation are not synchronously available at the controller side, a novel approach to the piecewise state feedback controller design is proposed via some matrix inequality convexification techniques such that the closed-loop T–S fuzzy system is asymptotically stable with a guaranteed $ \mathcal {H}_{\infty } $ H∞ performance level. By introducing the Jensen inequality method, some cross products of two vectors are eliminated, which greatly facilitates the controller design procedure. Finally, some illustrative examples are provided to illustrate the effectiveness of the proposed method.

Date: 2019
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DOI: 10.1080/00207721.2018.1552770

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