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Distributed consensus of discrete time-varying linear multi-agent systems with event-triggered intermittent control
Mingxia Gu1, Zhiyong Yu1, Haijun Jiang1,2
1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China.
Mathematical Biosciences and Engineering : MBE
|February 2, 2024
Summary
This study introduces event-triggered intermittent control (ETIC) and an improved version (I-ETIC) for discrete time-varying multi-agent systems (MASs). These protocols ensure consensus by optimizing control updates and reducing communication load.
Area of Science:
- Control Theory
- Systems Engineering
- Distributed Systems
Background:
- Consensus is crucial for coordinated behavior in multi-agent systems (MASs).
- Discrete time-varying systems present unique challenges for achieving consensus.
- Intermittent control strategies aim to reduce communication and computational burdens.
Purpose of the Study:
- To design and analyze an event-triggered intermittent control (ETIC) protocol for consensus in discrete time-varying linear MASs.
- To develop an improved event-triggered intermittent control (I-ETIC) strategy to further minimize communication overhead.
- To establish sufficient conditions for consensus achievement using Lyapunov functions and error dynamical systems.
Main Methods:
- Design of an event-triggered intermittent control (ETIC) protocol.
- Construction of an error dynamical system.
- Application of Lyapunov stability theory.
- Development of a novel improved event-triggered intermittent control (I-ETIC) strategy with enhanced trigger conditions.
- Convergence analysis for both protocols.
Main Results:
- Sufficient conditions for achieving consensus in discrete time-varying linear MASs using the ETIC protocol were established.
- The I-ETIC strategy was presented, offering further reductions in communication load compared to the ETIC protocol.
- Numerical simulations validated the effectiveness of both proposed control protocols in achieving consensus.
Conclusions:
- The proposed ETIC and I-ETIC protocols are effective for achieving consensus in discrete time-varying linear MASs.
- The I-ETIC strategy provides an advanced method for reducing communication burden by optimizing controller updates.
- The theoretical results are confirmed by simulation examples, demonstrating practical applicability.
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