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Synchronization of Coupled Harmonic Oscillators With Asynchronous Intermittent Communication
This study introduces an event-triggered control strategy for coupled harmonic oscillators (CHOs) to achieve synchronization. The novel asynchronous protocol enhances efficiency by reducing communication frequency, ensuring system stability.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Nonlinear Dynamics
Background:
- Coupled harmonic oscillators (CHOs) are fundamental in modeling complex systems.
- Achieving synchronization in CHOs is crucial for various applications.
- Event-triggered control offers potential for reduced communication load.
Purpose of the Study:
- To investigate the synchronization of CHOs using an event-triggered control strategy.
- To develop a novel asynchronous control protocol for information exchange.
- To analyze system stability using established control theory techniques.
Main Methods:
- Application of the small-gain technique to analyze feedback interconnections.
- Utilization of integral quadratic constraints (IQCs) for input-output analysis.
- Development of a novel event-triggered control protocol for asynchronous communication.
Main Results:
- The proposed control protocol enables asynchronous information exchange among CHOs.
- Stability conditions for the closed-loop system are derived using small-gain and IQCs.
- Simulation results validate the effectiveness of the developed algorithms.
Conclusions:
- The event-triggered control strategy effectively achieves synchronization in CHOs.
- The asynchronous protocol enhances communication efficiency.
- The theoretical analysis confirms the stability of the proposed system.
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