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Reinforcement learning-based funnel control and privacy preservation for multi-agent systems with input dead-zone.

Jiaxin Huang1, Xiaoyang Liu1, Sikai Shen1

  • 1School of Computer Science and Technology, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, PR China.

Neural Networks : the Official Journal of the International Neural Network Society
|October 25, 2025
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Summary

This study introduces a privacy-preserving adaptive funnel controller for multi-agent systems with input dead-zone constraints, ensuring accurate tracking while protecting state information using reinforcement learning and cryptography.

Keywords:
Event-triggered strategyFunnel controlInput dead-zoneNonlinear multi-agent systemsPrivacy preservationReinforcement learning

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Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Cybersecurity

Background:

  • Multi-agent systems (MAS) often face challenges with input dead-zone constraints and communication burdens.
  • Ensuring data privacy during state information transmission is critical in distributed control systems.
  • Adaptive control strategies are needed to handle uncertainties and nonlinearities in complex systems.

Purpose of the Study:

  • To design a privacy-preserving reinforcement learning-based funnel controller for MAS with input dead-zone constraints.
  • To guarantee tracking errors remain within prescribed boundaries despite system uncertainties.
  • To develop an efficient, secure data-exchange mechanism for MAS control.

Main Methods:

  • An adaptive funnel controller was formulated using an actor-critic reinforcement learning paradigm.
  • Fuzzy logic was employed to approximate uncharacterized system nonlinearities.
  • An event-triggered scheme was introduced for efficient control signal updates.
  • The Paillier cryptographic scheme was integrated for secure data exchange.

Main Results:

  • The proposed controller successfully guaranteed that tracking errors stayed within predefined limits.
  • The event-triggered scheme effectively reduced communication load while maintaining control performance.
  • The cryptographic mechanism ensured the privacy of state information during transmission.
  • Simulations validated the controller's feasibility and effectiveness in handling input dead-zone constraints.

Conclusions:

  • The developed strategy offers a robust and secure solution for controlling multi-agent systems with input dead-zone constraints.
  • The integration of reinforcement learning, fuzzy logic, and cryptography enhances system performance and data security.
  • This approach provides a foundation for advanced, privacy-aware control in complex distributed systems.