![](/images/graphics-bg.png)
Time-Optimal Control of Systems with Fractional Dynamics
Joint Authors
Chen, YangQuan
Tricaud, Christophe
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We introduce a formulation for the time-optimal control problems of systems displaying fractional dynamics in the sense of the Riemann-Liouville fractional derivatives operator.
To propose a solution to the general time-optimal problem, a rational approximation based on the Hankel data matrix of the impulse response is considered to emulate the behavior of the fractional differentiation operator.
The original problem is then reformulated according to the new model which can be solved by traditional optimal control problem solvers.
The time-optimal problem is extensively investigated for a double fractional integrator and its solution is obtained using either numerical optimization time-domain analysis.
American Psychological Association (APA)
Tricaud, Christophe& Chen, YangQuan. 2010. Time-Optimal Control of Systems with Fractional Dynamics. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-473363
Modern Language Association (MLA)
Tricaud, Christophe& Chen, YangQuan. Time-Optimal Control of Systems with Fractional Dynamics. International Journal of Differential Equations No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-473363
American Medical Association (AMA)
Tricaud, Christophe& Chen, YangQuan. Time-Optimal Control of Systems with Fractional Dynamics. International Journal of Differential Equations. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-473363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473363