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- Title
The necessary conditions for finite horizon time varying order optimal control of Caputo systems.
- Authors
Tabatabaei, S Sepehr; Yazdanapanah, Mohammad Javad; Tavazoei, Mohammad Saleh
- Abstract
This article presents a general solution scheme for finite horizon optimal control of variable order Caputo dynamic systems with specified initial and final conditions. The main approach of the article is using variable order calculus of variations. After deriving the necessary optimality conditions, as the main contribution of the article, a change of variable is used to rearrange the set of conditions as a set of coupled variable order differential equations. Then, a numerical method is introduced to solve the corresponding equations. Finally, a case study shows the effectiveness of the proposed method.
- Subjects
FINITE fields; TIME-varying systems; OPTIMAL control theory; CAPUTO fractional derivatives; NUMERICAL analysis
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 4, p1087
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnx016