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Input-to-State Stability of Impulsive Systems via Event-Triggered Impulsive Control
IEEE Transactions on Cybernetics
|January 15, 2021
Summary
This study introduces event-triggered impulsive control (ETIC) for nonlinear systems, ensuring stability without continuous control signals. This method avoids fast triggering and guarantees input-to-state stability (ISS) and integral ISS (iISS).
Area of Science:
- Control Theory
- Nonlinear Systems
- System Stability
Background:
- Impulsive control systems are crucial in various applications.
- Ensuring stability in nonlinear systems with intermittent control is challenging.
- Traditional event-triggered control can lead to undesirable behaviors.
Purpose of the Study:
- To investigate input-to-state stability (ISS) and integral ISS (iISS) for nonlinear impulsive systems.
- To develop and analyze an event-triggered impulsive control (ETIC) strategy.
- To avoid infinitely fast triggering while guaranteeing system stability.
Main Methods:
- Utilizing Lyapunov-based criteria for stability analysis.
- Implementing an event-triggered mechanism (ETM) as an impulse generator.
- Employing Linear Matrix Inequalities (LMIs) for controller design.
Main Results:
- Established Lyapunov-based criteria for ISS and iISS under ETIC.
- Demonstrated that ETIC avoids infinitely fast triggering.
- Derived specific ETMs and impulsive control gains for nonlinear systems.
Conclusions:
- The proposed ETIC strategy effectively guarantees ISS and iISS for nonlinear impulsive systems.
- The developed Lyapunov-based criteria and LMI-based design are valid.
- Numerical examples confirm the efficacy of the control strategies.
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