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Consensus control of multi-agent systems with P-one-sided Lipschitz.

Jun Huang1, Ming Yang1, Yueyuan Zhang1

  • 1School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215131, China.

ISA Transactions
|July 3, 2021
PubMed
Summary

This study addresses multi-agent system consensus using P-one-sided Lipschitz nonlinearity, extending control protocol designs. It establishes sufficient conditions for consensus in leader-following scenarios under strongly connected topologies.

Keywords:
Consensus controlNonlinear multi-agent systemsP-one-sided Lipschitz

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Area of Science:

  • Control Theory
  • Networked Systems
  • Nonlinear Systems

Background:

  • Consensus problems are crucial for coordinating multi-agent systems.
  • Existing methods often assume quadratic inner-boundedness, limiting applications.
  • P-one-sided Lipschitz nonlinearity offers a more general framework.

Purpose of the Study:

  • To investigate consensus in multi-agent systems with P-one-sided Lipschitz nonlinearity.
  • To extend the applicability of consensus control protocols.
  • To address leader-following consensus under specific network topologies.

Main Methods:

  • Utilizing a strongly connected graph topology for protocol design.
  • Developing consensus control protocols tailored for P-one-sided Lipschitz systems.
  • Employing mathematical conditions to guarantee consensus achievement.

Main Results:

  • Sufficient conditions for achieving consensus were derived.
  • The proposed methods accommodate a broader class of nonlinearities.
  • Consensus was demonstrated in leader-following scenarios.

Conclusions:

  • The P-one-sided Lipschitz condition effectively generalizes consensus problems.
  • Strongly connected topologies are suitable for achieving consensus.
  • The findings provide a foundation for advanced multi-agent coordination.