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ε-Dependent/Independent Dynamic Event-Triggered Control of Switched Two-Time-Scale Systems
IEEE Transactions on Cybernetics
|September 24, 2025
Summary
This study introduces novel event-triggered control for switched two-time-scale systems (TTSSs), deriving an explicit upper bound for the singular perturbation parameter (SPP) and ensuring stability without Zeno
Area of Science:
- Control Systems Engineering
- Nonlinear Systems Analysis
- Dynamical Systems Theory
Background:
- Switched two-time-scale systems (TTSSs) present challenges in control design due to their complex dynamics and switching nature.
- Existing control methods for TTSSs often impose restrictive conditions on the singular perturbation parameter (SPP) or rely on Linear Matrix Inequalities (LMIs).
- Computational burden from frequent control signal updates is a significant issue in practical applications of TTSS control.
Purpose of the Study:
- To investigate the event-triggered composite control problem for switched two-time-scale systems (TTSSs).
- To develop novel dynamic event-triggered mechanisms that reduce computational load while ensuring system stability.
- To establish explicit stability conditions that relax existing constraints on the singular perturbation parameter (SPP).
Main Methods:
- Derivation of an explicit upper bound for the singular perturbation parameter (SPP) in switched TTSSs.
- Development of SPP-dependent and SPP-independent dynamic event-triggered control mechanisms.
- Incorporation of boundary layer system analysis and balancing of fast/slow time-scale dynamics within the event-triggered framework.
- Establishment of sufficient stability conditions based on the SPP upper bound and mode-dependent average dwell time.
- Exclusion of Zeno's behavior in the proposed event-triggered control strategies.
Main Results:
- An explicit upper bound for the SPP is derived, overcoming limitations of previous studies.
- Novel dynamic event-triggered mechanisms (SPP-dependent and independent) are proposed, reducing control update frequency.
- Sufficient stability conditions are established, guaranteeing system stability under the developed control strategies.
- Zeno's behavior is successfully excluded, ensuring practical implementability of the control solutions.
Conclusions:
- The proposed event-triggered composite control strategies effectively stabilize switched TTSSs under relaxed conditions.
- The developed mechanisms significantly reduce the computational burden associated with control signal updates.
- Numerical examples validate the effectiveness and advantages of the proposed approach compared to existing methods.
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