Event-triggered H1 control for Takagi-Sugeno fuzzy wind turbine system

Document Type : Research Paper

Authors

1 Department of Mathematics, Thiruvalluvar University, Vellore - 632 106, Tamilnadu, India

2 Thiruvalluvar University

3 Old Dominion University

4 King Khalid University

5 Northern Border University

Abstract

In this paper, we propose an $H_{\infty}$ state feedback control method for variable-speed wind turbine systems (WTSs) based on an event-triggered scheme (ETS). First, proposed the event-triggered mechanism, its threshold parameter is constructed as a special diagonal matrix which can improve system performance by flexibly adjusting the matrix elements. The main advantage of utilizing the event-triggered control is because it will activate the controllers with a user-designed event-triggering condition that helps to restrict the unnecessary network transmissions and reduce the leakages. Then, the concept of coupling leakage time-varying delay is proposed to construct a more generalized T-S fuzzy model. Subsequently, two novel integral inequalities are introduced. By the virtue of fuzzy Lyapunov function, intensive attention is focused on deriving the theoretical-based sufficient conditions in terms of solvable linear matrix inequalities (LMIs), which ensure the asymptotically stability of the closed-loop model based on Lyapunov stability theory. Then, the desirable control gains are obtained by solving the LMIs with bounds of sampling intervals. Detailed numerical simulations are performed with an experimental range of system parameters that illustrates the effectiveness of the proposed event-triggered scheme.

Keywords

Main Subjects

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Iranian Journal of Fuzzy Systems
Volume 22, Issue 4
July and August 2025
Pages 97-115

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