In this paper we present a new approach for solving a class of fractional optimal control problems based on generalized fuzzy hyperbolic model. The fractional derivatives are described in the Caputo–Fabrizio sense. In order to solve this problem, the necessary optimality conditions associated to the fractional optimal control problem is first derived. The solution of these conditions is then approximated by fuzzy solution based on generalized fuzzy hyperbolic model. A learning algorithm is used to achieve the adjustable parameters of the obtained fuzzy solution. In order to confirm the efficiency and accuracy of the proposed approach, some illustrative examples are implemented.

本文提出了一种基于广义模糊双曲模型求解一类分数最优控制问题的新方法。在Caputo–Fabrizio的意义上描述了分数导数。为了解决该问题，首先导出与分数最优控制问题相关的必要最优性条件。然后，基于广义模糊双曲模型，通过模糊解对这些条件的解进行近似。使用学习算法来获得所获得的模糊解的可调参数。为了确认所提出方法的效率和准确性，实现了一些说明性示例。