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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：教务处副处长兼通识与基础教育中心主任
其他任职：石河子大学理学院院长（援疆）
性别：男
毕业院校：大连理工大学
学位：博士
所在单位：数学科学学院
学科：运筹学与控制论
电子邮箱：wanglei@dlut.edu.cn
A Control Parameterization Method to Solve the Fractional-Order Optimal Control Problem
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论文类型：期刊论文
发表时间：2021-01-10
发表刊物：JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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.