Title :
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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400637
