TY - JOUR
ID - 16462
TI - Solution of the Problem of Analytical Construction of Optimal Regulators for a Fractional Order Oscillatory System in the General Case
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Aliev, Fikret A
AU - Aliev, Nihan A
AU - Safarova, Nargiz A.
AU - Mamedova, Yegana Vahid
AD - Institute of Applied Mathematics, Baku State University, Z. Khalilov, 23, AZ1148 Baku, Azerbaijan
Y1 - 2021
PY - 2021
VL - 7
IS - 2
SP - 970
EP - 976
KW - Fractional derivative
KW - analytical construction of controllers
KW - Hamiltonian matrix
KW - Fundamental matrix
KW - Mittag-Leffler function
KW - Euler-Lagrange equation
DO - 10.22055/jacm.2021.35130.2572
N2 - 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.
UR - https://jacm.scu.ac.ir/article_16462.html
L1 - https://jacm.scu.ac.ir/article_16462_7b8d482401be8a8a0685cd87afcbbc01.pdf
ER -