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Aperiodically intermittent saturation consensus on multi-agent systems with discontinuous dynamics.

Jiafeng Wang1, Ze Tang1, Dong Ding2

  • 1Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, 214122, China.

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|July 6, 2022
PubMed
Summary
This summary is machine-generated.

This study addresses exponential consensus in multi-agent systems (MASs) with nonlinear dynamics and time delays. A new aperiodic intermittent control strategy and saturation algorithm ensure agents reach a common state efficiently.

Keywords:
Aperiodically intermittent controlDiscontinuous dynamicsExponential consensusImproved saturation algorithmTime-varying delay

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Area of Science:

  • Control Theory
  • Systems Engineering
  • Applied Mathematics

Background:

  • Multi-agent systems (MASs) face challenges with nonlinear discontinuous dynamics and time-varying delays.
  • Achieving consensus in such complex systems requires robust control strategies.
  • Existing methods may struggle with the inherent non-smoothness and aperiodic behaviors.

Purpose of the Study:

  • To investigate the exponential consensus problem in MASs with nonlinear discontinuous dynamics and time-varying delays.
  • To develop a novel aperiodically intermittent distributed control strategy.
  • To propose an improved saturation algorithm to manage control signal non-smoothness.

Main Methods:

  • Utilizing Filippov differential inclusion (FDI) to handle discontinuous dynamics.
  • Applying the Lie derivative method (LDM) for system analysis.
  • Employing the measurement selection theorem (MST) for control design.
  • Designing an aperiodic intermittent control with flexible control/rest durations.
  • Implementing an improved saturation algorithm for smoother control signals.

Main Results:

  • Sufficient conditions for achieving exponential consensus in discontinuous MASs were derived.
  • The proposed aperiodic intermittent control strategy effectively forces agent states to a common trajectory.
  • The improved saturation algorithm successfully reduced control signal non-smoothness.
  • Numerical simulations validated the theoretical findings and demonstrated the control strategy's effectiveness.

Conclusions:

  • The developed control strategy and saturation algorithm are effective for achieving exponential consensus in complex MASs.
  • The findings provide a theoretical framework and practical approach for designing robust controllers for discontinuous systems with delays.
  • The study highlights the potential of aperiodic intermittent control for enhancing system performance and stability.