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Event-based optimal guidance laws design for missile-target interception systems using fuzzy dynamic programming

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Summary

This study introduces a novel periodic event-triggered optimal control algorithm for guidance systems with unknown dynamics. The plug-n-play framework enhances interception capabilities while optimizing communication resource utilization.

Keywords:
Generalized fuzzy hyperbolic modelsMissile interceptionOptimal controlPeriodic event-triggered controlZero-sum differential games

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Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Game Theory

Background:

  • Guidance systems with unknown dynamics present significant control challenges.
  • Traditional control methods often require complete system information, limiting their applicability.
  • Zero-sum differential games offer a framework for modeling adversarial or competitive scenarios.

Purpose of the Study:

  • To design a periodic event-triggered optimal control algorithm for intercepting targets in partially unknown zero-sum differential game systems.
  • To develop a plug-n-play framework that enables simultaneous operation of identifier and critic networks without prior system information.
  • To ensure stability and bounded errors in the closed-loop system using Lyapunov function methods.

Main Methods:

  • Modeling the guidance system as a partially unknown zero-sum differential game.
  • Employing generalized fuzzy hyperbolic models for an identifier-critic structure.
  • Utilizing an online identifier to estimate unknown system dynamics.
  • Approximating the cost function with a generalized fuzzy hyperbolic models-based critic network.
  • Implementing a plug-n-play framework for simultaneous identifier and critic network operation.
  • Deriving approximate optimal control strategies and weight updating laws using Lyapunov stability analysis.

Main Results:

  • The proposed algorithm guarantees that the closed-loop system and weight approximation errors are uniformly ultimately bounded.
  • An additional function in weight updating laws relaxes the need for admissible initial control.
  • The plug-n-play framework simplifies network structure by eliminating the requirement for prior system information.
  • Simulations using a missile interception system demonstrate the effectiveness of the periodic event-triggered control algorithm.

Conclusions:

  • The developed periodic event-triggered optimal control algorithm effectively addresses guidance systems with unknown dynamics within a plug-n-play framework.
  • The approach enhances interception performance and optimizes communication resource usage compared to common adaptive dynamic programming methods.
  • The use of generalized fuzzy hyperbolic models and Lyapunov stability analysis ensures system robustness and convergence.