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An Event-Triggered Decentralized Asynchronous Design Scheme for Positive Interconnected Switched Systems With MDMDT
IEEE Transactions on Cybernetics
|November 3, 2025
Summary
This study introduces event-triggered decentralized asynchronous (ETDA) control for positive interconnected switched systems (PISSs). The novel approach ensures system stability under mode-dependent minimum dwell-time constraints using a linear programming method.
Area of Science:
- Control Systems Engineering
- Systems Theory
- Optimization Theory
Background:
- Positive interconnected switched systems (PISSs) present unique control challenges due to their inherent positivity and switching dynamics.
- Decentralized control strategies are crucial for large-scale systems, but achieving asynchronous control under event-triggering adds complexity.
- Mode-dependent minimum dwell-time (MDMDT) constraints are essential for ensuring stability in switched systems but complicate controller design.
Purpose of the Study:
- To design a novel event-triggered decentralized asynchronous (ETDA) control framework for positive interconnected switched systems (PISSs).
- To address the challenge of mode-dependent minimum dwell-time (MDMDT) constraints within the ETDA control design.
- To develop a feasible and tractable control scheme using linear programming (LP).
Main Methods:
- Development of a 1-norm-based event-triggered mechanism (ETM) and a decentralized asynchronous control strategy (DACS).
- Construction of a discretized linear copositive Lyapunov function (DLCLF) tailored for MDMDT switching.
- Application of matrix decomposition for ETDA controller gains and a linear programming (LP) approach for controller synthesis.
Main Results:
- A sufficient positivity criterion for closed-loop PISSs was established.
- A feasible mode-dependent ETDA control scheme was presented using a tractable LP approach.
- The proposed ETDA control scheme demonstrated the capability to encompass event-triggered decentralized synchronous (ETDS), time-triggered decentralized asynchronous (TTDA), and time-triggered decentralized synchronous (TTDS) control as special cases.
Conclusions:
- The designed ETDA control scheme effectively manages PISSs under MDMDT constraints.
- The proposed methodology offers a unified framework that can be specialized for various control scenarios (event-triggered/time-triggered, asynchronous/synchronous).
- Comparisons confirm the significance and feasibility of the developed control strategy for practical applications.
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