论文类型：期刊论文

第一作者：Mu, Pan

通讯作者：王磊,Liu, Chongyang

发表时间：2021-01-10

发表刊物：JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

文献类型：J

卷号：187

期号：1

页面范围：234-247

ISSN号：0022-3239

关键字：Fractional optimal control; Control parameterization; Gradient formula; Auxiliary system

摘要：This paper considers a class of fractional optimal control problems with canonical equality and inequality constraints. A fractional derivative in the dynamic system is defined in the Caputo sense. Using the control parameterization method, we approximate fractional optimal control problems by a sequence of finite-dimensional optimization problems. We then present the gradient formulae by introducing some auxiliary fractional systems. On this basis, a gradient-based optimization is developed to solve the fractional optimal control problems. Finally, a numerical example is used to test the proposed method.

是否译文：否