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A Theoretical Foundation of Goal Representation Heuristic Dynamic Programming

机译：目标表示启发式动态规划的理论基础

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摘要

Goal representation heuristic dynamic programming (GrHDP) control design has been developed in recent years. The control performance of this design has been demonstrated in several case studies, and also showed applicable to industrial-scale complex control problems. In this paper, we develop the theoretical analysis for the GrHDP design under certain conditions. It has been shown that the internal reinforcement signal is a bounded signal and the performance index can converge to its optimal value monotonically. The existence of the admissible control is also proved. Although the GrHDP control method has been investigated in many areas before, to the best of our knowledge, this is the first study of presenting the theoretical foundation of the internal reinforcement signal and how such an internal reinforcement signal can provide effective information to improve the control performance. Numerous simulation studies are used to validate the theoretical analysis and also demonstrate the effectiveness of the GrHDP design.
机译：目标表示启发式动态规划（GrHDP）控制设计是近年来开发的。该设计的控制性能已在多个案例研究中得到了证明，并显示出适用于工业规模的复杂控制问题。在本文中，我们开发了在特定条件下进行GrHDP设计的理论分析。已经表明，内部增强信号是有界信号，并且性能指标可以单调收敛至其最佳值。还证明了容许控制的存在。尽管之前已经在许多领域对GrHDP控制方法进行了研究，但据我们所知，这是首次提出内部增强信号的理论基础以及这种内部增强信号如何提供有效信息以改善控制的研究。性能。许多仿真研究用于验证理论分析，也证明了GrHDP设计的有效性。

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