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Event-Triggered Impulsive Control for Input-to-State Stabilization of Nonlinear Time-Delay Systems
IEEE Transactions on Cybernetics
|May 9, 2023
Summary
This study introduces novel event-triggered impulsive control for nonlinear time-delay systems, ensuring stability despite disturbances. The method prevents Zeno behavior and is validated through simulations, including Chua
Area of Science:
- Control Theory
- Nonlinear Systems
- Time-Delay Systems
Background:
- Nonlinear systems with time delays are challenging to control due to inherent complexities.
- Exogenous disturbances can destabilize system performance.
- Existing control methods may not efficiently handle both time delays and external perturbations.
Purpose of the Study:
- To investigate the event-triggered impulsive control (ETIC) for nonlinear time-delay systems.
- To develop a novel event-triggered mechanism (ETM) for improved control.
- To ensure input-to-state stability (ISS) under external disturbances.
Main Methods:
- Lyapunov function approach to design the ETM.
- Development of sufficient conditions for ISS.
- Analysis to exclude Zeno behavior.
- Application of linear matrix inequalities (LMIs) for design criteria.
Main Results:
- A new ETM is proposed, utilizing system state and external input information.
- Sufficient conditions for ISS are derived, linking ETM, exogenous input, and impulse action.
- Zeno behavior is successfully avoided.
- Design criteria for ETM and impulse gain are established using LMIs.
Conclusions:
- The developed ETIC strategy effectively stabilizes nonlinear time-delay systems under disturbances.
- The proposed ETM offers a robust and efficient control solution.
- The method is validated by simulations, demonstrating its practical applicability in systems like Chua's circuit.
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