Formulation and Numerical Solution for Fractional Order Time Optimal Control Problem Using Pontryagin's Minimum Principle. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Tabatabaei, S. Sepehr; Yazdanpanah, Mohammad Javad; Tavazoei, Mohammad Saleh
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 9224
• Page End: 9229
• Publication Date: 2017-07
• Subjects: Time Optimal Control -- Non-integer Order Calculus -- Variational Calculus -- Pontryagin's Minimum Principle; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.1280
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.