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Updated: Jun 6, 2025

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Published on: August 15, 2014
A Novel Event-triggered Practical Prescribed-Time Control for four Complex coupled Duffing-type MEMS resonators with
Yankui Song1, Yaoyao Tuo1, Xinxin Lin2
1Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China.
This study introduces a new controller for micro-electro-mechanical systems (MEMS) resonators to prevent chaotic oscillations. The event-triggered controller ensures stable system performance within a set time.
Area of Science:
- Engineering
- Control Systems
- Nonlinear Dynamics
Background:
- Micro-electro-mechanical systems (MEMS) resonators are crucial in various applications.
- Complex coupled Duffing-type MEMS resonators exhibit intricate dynamic behaviors, including potential chaotic oscillations.
- Uncontrolled chaotic oscillations can significantly degrade system performance and reliability.
Purpose of the Study:
- To investigate the dynamic characteristics of four complex coupled Duffing-type MEMS resonators.
- To develop a novel event-triggered practical prescribed-time controller to mitigate chaotic oscillations and ensure performance.
- To analyze the influence of system parameters on dynamic behavior for optimal design.
Main Methods:
- Dynamic analysis of coupled Duffing-type MEMS resonators, examining parameter effects.
- Design of an event-triggered controller using interval type-3 fuzzy systems (IT3FS) for unknown nonlinearities.
- Implementation of a time-varying scale transformation function (STF) and prescribed performance function (PPF).
- Utilization of a practical prescribed-time stability (PPTS) criterion for convergence analysis.
Main Results:
- System parameter analysis provides guidance for selecting optimal configurations.
- Chaotic oscillations identified as a critical issue affecting system performance.
- The proposed controller effectively suppresses chaotic behavior and ensures signal convergence within a prescribed time.
- Event-triggered mechanism reduces control signal update frequency.
Conclusions:
- The developed controller ensures practical prescribed-time stability for the MEMS resonators.
- Tracking errors are maintained within user-defined boundaries, demonstrating effective performance.
- Simulations confirm the efficacy of the proposed event-triggered control strategy for complex MEMS resonators.
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