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Formulation and numerical solution for fractional order time optimal control problem using pontryagin's minimum principle

Tabatabaei, S. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ifacol.2017.08.1280
  3. Abstract:
  4. The main purpose of this paper is to use variational calculus and Pontryagin's minimum principle to propose a solution scheme for time optimal control problem stated on the fractional systems defined in the sense of Caputo. After deriving the necessary optimality conditions, a novel numerical solution is used to solve the problem. Afterwards, a simple case study shows the effectiveness of the proposed method. © 2017
  5. Keywords:
  6. Non-integer order calculus ; Pontryagin's minimum principle ; Time optimal control ; Variational calculus
  7. Source: IFAC-PapersOnLine ; Volume 50, Issue 1 , 2017 , Pages 9224-9229 ; 24058963 (ISSN)
  8. URL: https://www.sciencedirect.com/science/article/pii/S2405896317317950