Shifted Chebyshev schemes for solving fractional optimal control problems. (August 2019)

• Record Type: Journal Article
• Authors: Abdelhakem, M; Moussa, H; Baleanu, D; El-Kady, M
• Is Part Of: Journal of vibration and control. Volume 25:Number 15(2019)
• Page Start: 2143
• Page End: 2150
• Publication Date: 2019-08
• Subjects: Fractional optimal control problems -- shifted Chebyshev polynomials -- fractional derivative -- differentiation and integration matrices Mathematics Subject Classification: 49M05—49M25—65K99; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546319852218
• Languages: English
• ISSNs: 1077-5463

Abstract

Two schemes to find approximated solutions of optimal control problems of fractional order (FOCPs) are investigated. Integration and differentiation matrices were used in these schemes. These schemes used Chebyshev polynomials in the shifted case as a functional approximation. The target of the presented schemes is to convert such problems to optimization problems (OPs). Numerical examples are included, showing the strength of the schemes.