Interval type-2 fuzzy decentralised event-triggered H∞ control for nonlinear interconnected systems with time delays

Wenting Song, Wei Wang and Shaocheng Tong

International Journal of Systems Science, 2022, vol. 53, issue 6, 1207-1219

Abstract: This paper studies the interval type-2 fuzzy decentralised event-triggered control design problem for the nonlinear time-delay interconnected systems. The considered plant is first represented by an interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy time-delay interconnected system and then an event-triggered mechanism is established through using the sampled states. By using the PDC algorithm, a fuzzy decentralised event-triggered controller is developed. Furthermore, the asymptotic stable conditions with a $ {H_\infty } $ H∞ performance of closed-loop system are obtained, which are formulated in the form of linear matrix inequalities. Finally, an example of the nonlinear Tuned Mass Damper system with time delays is given to illustrate the effectiveness of the proposed fuzzy decentralised controller.

Date: 2022
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DOI: 10.1080/00207721.2021.1995525

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