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Multiloop Decentralized H∞ Fuzzy PID-Like Control for Discrete Time-Delayed Fuzzy Systems Under Dynamical
This study introduces a decentralized fuzzy control system using dynamical event-triggered mechanisms for discrete-time systems with delays. The approach ensures system stability and H∞ performance while saving resources.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Discrete-Time Systems
Background:
- Decentralized control is crucial for complex systems.
- Event-triggered mechanisms (ETMs) optimize resource usage in control systems.
- Time-varying delays pose challenges in system stability and performance.
Purpose of the Study:
- To design a multiloop decentralized H∞ fuzzy proportional-integral-derivative-like (PID-like) control scheme.
- To address discrete-time Takagi-Sugeno fuzzy systems with time-varying delays.
- To implement dynamical event-triggered mechanisms (ETMs) for resource efficiency.
Main Methods:
- A multiloop decentralized fuzzy PID-like controller with fixed integral windows was designed.
- Dynamical ETMs were employed for signal transmission between sensor nodes and controllers.
- Sufficient conditions for exponential stability and H∞ performance were derived.
Main Results:
- The proposed control scheme ensures exponential stability for the controlled system.
- The H∞ performance index is prescribed and achieved.
- Controller gains were determined by solving an iterative optimization problem.
Conclusions:
- The developed decentralized fuzzy PID-like control strategy is effective for discrete-time systems with time-varying delays.
- The use of dynamical ETMs enhances resource efficiency.
- The simulation results validate the proposed design procedure.
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