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Distributed optimal coordination control for nonlinear multi-agent systems using event-triggered adaptive dynamic

Wei Zhao1, Huaipin Zhang2

  • 1School of Mathematics, Southeast University, Nanjing, 210096, PR China.

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|February 6, 2019
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Summary
This summary is machine-generated.

This study introduces an event-triggered adaptive dynamic programming (ETADP) method for nonlinear multi-agent systems (NMASs). This approach reduces data transmission and computation costs while ensuring system stability and optimal coordination.

Keywords:
Adaptive dynamic programmingDistributed optimal coordination controlEvent-triggered samplingMulti-agent systems

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Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Networked Systems

Background:

  • Nonlinear multi-agent systems (NMASs) require efficient coordination strategies.
  • Traditional time-triggered adaptive dynamic programming (TTADP) can be computationally intensive due to redundant data transmission.

Purpose of the Study:

  • To design a distributed optimal coordination control for NMASs using an event-triggered adaptive dynamic programming (ETADP) method.
  • To minimize performance functions and reduce data transmission in NMASs.

Main Methods:

  • Development of event-triggered conditions based on Lyapunov functional method to ensure NMAS stability.
  • Introduction of a novel adaptive policy iteration algorithm for online solutions of Hamilton-Jacobi-Bellman (HJB) equations.
  • Utilization of fuzzy hyperbolic model-based critic neural networks (NNs) for approximating value functions and control policies.

Main Results:

  • The event-triggered strategy significantly reduces redundant data transmission compared to TTADP.
  • NN weight estimations are updated aperiodically, lowering computation costs.
  • Uniform ultimate boundedness (UUB) is proven for weight estimation errors and local coordination errors.

Conclusions:

  • The proposed ETADP method effectively achieves distributed optimal coordination control for NMASs.
  • The method enhances efficiency by reducing data transmission and computation.
  • Simulation examples validate the effectiveness and stability of the ETADP approach.