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Event-Triggered Synchronization of Switched Nonlinear System Based on Sampled Measurements
This study introduces an event-triggered synchronization method for nonlinear switched systems using sampled data. It ensures efficient data transmission and controller design via linear matrix inequalities.
Area of Science:
- Control Systems Engineering
- Nonlinear Dynamics
- Systems Theory
Background:
- Event-triggered control strategies reduce communication load in networked systems.
- Synchronization of switched nonlinear systems presents challenges due to mode-dependent dynamics and delays.
- Existing methods may require continuous communication or struggle with asynchronous switching.
Purpose of the Study:
- To develop an event-triggered synchronization scheme for continuous-time switched nonlinear systems.
- To design a controller that guarantees synchronization despite asynchronous switching and state delays.
- To reduce data transmission by employing a mode-dependent event-triggered condition.
Main Methods:
- Formulation of the synchronization error system using input-delay and switching signal merging techniques.
- Development of a mode-dependent event-triggered condition based on sampled output and mode information.
- Application of the multiple Lyapunov-Krasovskii functional approach to derive synchronization conditions.
- Design of the synchronizing controller by solving linear matrix inequalities (LMIs).
Main Results:
- A novel, sufficient condition for event-triggered synchronization is established.
- The proposed method effectively handles state delays and asynchronous system switching.
- The controller design is reduced to solving a set of LMIs, simplifying practical implementation.
- Numerical simulations validate the effectiveness of the proposed synchronization scheme.
Conclusions:
- The developed event-triggered control strategy provides an efficient solution for synchronizing continuous-time switched nonlinear systems.
- The proposed method conserves network resources by transmitting data only when necessary.
- The controller design methodology is robust to system uncertainties and asynchronous behavior.
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