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Event-Triggered Global Finite-Time Sliding Mode Control for Impulsive Nonlinear Systems and Its Application to
IEEE Transactions on Cybernetics
|June 10, 2025
Summary
This study introduces an event-triggered sliding-mode control (ET-SMC) for impulsive nonlinear systems (INS). The novel strategy ensures finite-time stability (FTS) and avoids Zeno behavior, even with disturbances.
Area of Science:
- Control Engineering
- Nonlinear Systems Theory
- Applied Mathematics
Background:
- Traditional sliding mode control (SMC) is ineffective for systems with impulsive disturbances.
- Discontinuous dynamics in impulsive nonlinear systems (INS) necessitate advanced control strategies.
- Existing methods struggle with systems exhibiting impulsive phenomena.
Purpose of the Study:
- To develop a novel event-triggered sliding-mode control (ET-SMC) strategy for INS with matched disturbances.
- To ensure finite-time stability (FTS) and avoid Zeno behavior in addressed systems.
- To provide quantitative analysis of convergence rates under varying impulsive conditions.
Main Methods:
- Event-triggering mechanism with a time-varying threshold.
- Piecewise Lyapunov function techniques.
- Finite-time control theory and impulsive estimation schemes.
Main Results:
- The proposed ET-SMC strategy effectively avoids Zeno behavior.
- Finite-time stability (FTS) of the impulsive nonlinear systems is guaranteed.
- Quantitative insights into convergence rate variations under different impulsive conditions were obtained.
Conclusions:
- The developed ET-SMC strategy is effective for impulsive nonlinear systems.
- The approach ensures system stability and avoids undesirable control behaviors like Zeno.
- The strategy demonstrates practical applicability, as shown in coupled reaction-diffusion neural networks (RDNNs).
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