<p>This study derives a zero-sum game problem incorporating external disturbances from practical scenarios in aerospace engineering. To tackle the challenges posed by uncertain or analytically intractable dynamic models in real-world applications, a model-free reinforcement learning algorithm is introduced, and its stability is formally validated. Additionally, a disturbance observer is developed to mitigate external disturbances influencing both players. The proposed approach combines the model-free reinforcement learning algorithm with the disturbance observer into a cohesive control framework, which is thoroughly tested through simulation examples, yielding results consistent with theoretical expectations.</p>

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Design of zero-sum differential game control based on model-free reinforcement learning method and disturbance observer

  • Hongji Zhuang,
  • Qiang Shen,
  • Shufan Wu,
  • Vladimir Yu. Razoumny,
  • Yury N. Razoumny

摘要

This study derives a zero-sum game problem incorporating external disturbances from practical scenarios in aerospace engineering. To tackle the challenges posed by uncertain or analytically intractable dynamic models in real-world applications, a model-free reinforcement learning algorithm is introduced, and its stability is formally validated. Additionally, a disturbance observer is developed to mitigate external disturbances influencing both players. The proposed approach combines the model-free reinforcement learning algorithm with the disturbance observer into a cohesive control framework, which is thoroughly tested through simulation examples, yielding results consistent with theoretical expectations.