Paper
A Control Parameterization Method to Solve the Fractional-Order Optimal Control Problem
Release time:2021-03-22
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| Indexed by: | 期刊论文 |
| First Author: | Mu, Pan |
| Correspondence Author: | wanglei,Liu, Chongyang |
| Date of Publication: | 2021-01-10 |
| Journal: | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS |
| Document Type: | J |
| Volume: | 187 |
| Issue: | 1 |
| Page Number: | 234-247 |
| ISSN No.: | 0022-3239 |
| Key Words: | Fractional optimal control; Control parameterization; Gradient formula; Auxiliary system |
| Abstract: | 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. |
| Translation or Not: | no |
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