Journal
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
Volume 11, Issue 5, Pages -Publisher
ASME
DOI: 10.1115/1.4032694
Keywords
fractional optimal control problems; operational matrix of Caputo derivative; Caputo fractional derivative; the Ritz method; the Newton's iterative method
Categories
Ask authors/readers for more resources
Our paper presents a new method to solve a class of fractional optimal control problems (FOCPs) based on the numerical polynomial approximation. In the proposed method, the fractional derivative in the dynamical system is considered in the Caputo sense. The approach used here is to approximate the state function by the Legendre orthonormal basis by using the Ritz method. Next, we apply a new constructed operational matrix to approximate fractional derivative of the basis. After transforming the problem into a system of algebraic equations, the problem is solved via the Newton's iterative method. Finally, the convergence of the new method is investigated and some examples are included to illustrate the effectiveness and applicability of the proposed methodology.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available