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Distributed Event-Triggered Synchronization of Interconnected Linear Two-Time-Scale Systems With Switching Topology
This study introduces event-triggered synchronization for interconnected linear two-time-scale systems (TTSSs) with switching topology. Novel mechanisms ensure communication efficiency and system stability despite state jumps and uncertainties.
Area of Science:
- Control Systems Engineering
- Networked Systems
- Applied Mathematics
Background:
- Interconnected linear systems with two time scales (TTSSs) present unique control challenges.
- Switching topologies in networked systems can lead to instability and communication inefficiencies.
- Event-triggered communication is crucial for reducing data transmission in distributed systems.
Purpose of the Study:
- To investigate and solve the distributed synchronization problem for interconnected linear TTSSs with switching topology.
- To develop novel event-triggered communication protocols that enhance efficiency and guarantee stability.
- To address challenges arising from state jumps and parametric uncertainty introduced by system transformations.
Main Methods:
- Utilized the Chang transformation for system analysis.
- Proposed static and dynamic event-triggered mechanisms with separated conditions for slow and fast subsystems.
- Modeled the system as an uncertain hybrid system to handle state jumps and uncertainties.
- Designed control gains by solving Riccati-like equations and employed a piecewise quadratic Lyapunov function.
Main Results:
- Ensured a strictly positive time period between transmissions, independent of initial states.
- Established sufficient conditions for achieving event-triggered synchronization in TTSSs with switching topology.
- Successfully extended the results to address synchronization in interconnected impulsive linear TTSSs.
- Demonstrated the effectiveness of the proposed methods through three numerical examples.
Conclusions:
- The proposed event-triggered synchronization protocols are effective for interconnected linear TTSSs with switching topology.
- The methods successfully handle state jumps and parametric uncertainties inherent in system transformations.
- The approach offers a robust framework for distributed synchronization in complex networked systems.
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