Title of article
Solution of the Problem of Analytical Construction of Optimal Regulators for a Fractional Order Oscillatory System in the General Case
Author/Authors
Aliev, Fikret A. Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Aliev, N.A. Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Safarova, N.A. Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan , Mamedova, Y.V. Institute of Applied Mathematics - Baku State University, Baku, Azerbaijan
Pages
7
From page
970
To page
976
Abstract
An algorithm is proposed for solving the problem of analytical constructing of an optimal fractional-order regulator
(OFOR) in the general case. By inscribing the extended functional, the corresponding fractional order Euler-Lagrange equation is
determined. Then, using the Mittag-Leffler function, a fundamental solution to the corresponding Hamiltonian system is
constructed. It is shown that to obtain an analogue of the analytical construction of AM Letov's regulators, the order of the fractional
derivatives must be a rational number, the denominator and numerator of which are odd numbers. Numerical illustrative examples
are provided.
Keywords
Fractional derivative , Analytical construction of controllers , Hamiltonian matrix , Fundamental matrix , Mittag-Leffler function , Euler-Lagrange equation
Journal title
Journal of Applied and Computational Mechanics
Serial Year
2021
Record number
2561119
Link To Document