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LMI-based H∞ boundary practical consensus control for nonlinear multi-agent systems with actuator saturation.

Jiaqi Zhong1, Yan Feng1, Cheng Zeng2

  • 1College of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China.

ISA Transactions
|October 13, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces an H∞ Neumann boundary controller for nonlinear multi-agent systems, ensuring optimal disturbance rejection despite actuator saturation and external disturbances.

Keywords:
normActuator saturationBoundary controlNonlinear multi-agent systemsPractical consensus

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Area of Science:

  • Control Theory
  • Nonlinear Systems
  • Reaction-Diffusion Equations

Background:

  • Consensus control for nonlinear multi-agent systems with spatiotemporal dynamics is challenging.
  • External disturbances and actuator saturation complicate achieving optimal performance.

Purpose of the Study:

  • To develop an H∞ Neumann boundary controller for nonlinear multi-agent systems.
  • To guarantee optimal disturbance attenuation under actuator saturation.
  • To ensure practical consensus in systems with reaction-diffusion dynamics.

Main Methods:

  • Constructing a consensus spatiotemporal error model using Kronecker product and equivalent directed graph.
  • Deriving a linear matrix inequalities (LMIs)-based sufficient condition via Lyapunov approach and H∞ norm.
  • Formulating an optimization problem using invariant set theory for error convergence.

Main Results:

  • The proposed controller achieves optimal disturbance attenuation.
  • Consensus errors converge to a minimized bounded region.
  • Demonstrated effectiveness through simulations on the FitzHugh-Nagumo (FHN) model.

Conclusions:

  • The H∞ Neumann boundary controller effectively addresses the practical consensus problem.
  • The methodology ensures robust performance in the presence of disturbances and saturation.
  • Validated through synchronization simulations of a complex biological model.