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Stability for IT2 T-S fuzzy systems under alternate event-triggered control
Dongsheng Xu1, Siyuan Cheng1, Huan Su1
1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China.
ISA Transactions
|November 22, 2022
Summary
This study introduces an alternate event-triggered control for interval type-2 Takagi-Sugeno fuzzy systems, improving efficiency and reducing resource use. The novel aperiodic approach enhances system stability and avoids conservativeness found in traditional time-triggered methods.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Robotics
Background:
- Traditional intermittent control methods often exhibit conservativeness due to their time-triggered nature.
- Interval type-2 Takagi-Sugeno fuzzy systems require robust control strategies for stability.
- Existing control methods may lead to inefficient resource consumption.
Purpose of the Study:
- To propose an alternate event-triggered control strategy for interval type-2 Takagi-Sugeno fuzzy systems.
- To enhance control efficiency and reduce resource consumption compared to existing methods.
- To ensure system stability and eliminate conservativeness associated with time-triggered control.
Main Methods:
- Development of an alternate event-triggered control mechanism.
- Utilizing Lyapunov functions and graph theory for stability analysis.
- Exclusion of Zeno behavior by establishing a positive lower bound for inter-triggering intervals.
Main Results:
- The proposed control strategy demonstrates an almost complete aperiodic feature, reducing conservativeness.
- Two events are triggered alternately, improving control efficiency and resource utilization.
- Stability criteria are rigorously demonstrated, and Zeno behavior is successfully excluded.
Conclusions:
- The alternate event-triggered control is effective for stabilizing interval type-2 Takagi-Sugeno fuzzy systems.
- The strategy offers significant improvements in efficiency and resource reduction.
- The method's validity is confirmed through application to single-link robot arm systems and numerical examples.
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