Time-optimal control of fractional dynamic systems

Author

Tricaud, Christophe ; Chen, YangQuan

Author_Institution

Dept. of Electr. & Comput. Eng., Utah State Univ., Logan, UT, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

5027

Lastpage

5032

Abstract

This paper presents a formulation for fractional time-optimal control problems in terms of Riemann-Liouville fractional derivatives. For solution seeking purpose, the fractional operator is approximated using a rational approximation of the Hankel data matrix of the impulse response and the problem is reformulated. The problem is thoroughly studied for a fractional double integrator, and the solution is obtained by both numerical optimization and time-domain analysis.

Keywords

Hankel matrices; integration; mathematical programming; optimal control; Hankel data matrix; Riemann-Liouville fractional derivatives; fractional double integrator; fractional dynamic systems; fractional operator; numerical optimization; rational approximation; time-domain analysis; time-optimal control; Conducting materials; Control systems; Differential equations; Displays; Eigenvalues and eigenfunctions; Fractals; Lagrangian functions; Optimal control; Time domain analysis; Time factors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400637

Filename

5400637