%0 Journal Article
%T Larin Parameterization to Solve the Problem of Analytical Construction of the Optimal Regulator of Oscillatory Systems with Liquid Dampers
%J Journal of Applied and Computational Mechanics
%I Shahid Chamran University of Ahvaz
%Z 2383-4536
%A Aliev, Fikret A.
%A Aliev, Nihan A.
%A Velieva, N.I.
%A Safarova, Nargiz A.
%D 2020
%\ 12/01/2020
%V 6
%N Special Issue
%P 1426-1430
%! Larin Parameterization to Solve the Problem of Analytical Construction of the Optimal Regulator of Oscillatory Systems with Liquid Dampers
%K optimal regulators
%K Larin parameterization
%K frequency method
%K transfer function
%K Oscillatory systems
%K Liquid damper
%K Fractional derivative
%R 10.22055/jacm.2020.34950.2548
%X The problem of the analytical construction of the optimal regulator of oscillatory systems with liquid dampers on the complex plane is considered. Since the fractional derivative is included in the differential equation describing the oscillatory systems with liquid dampers movement, the corresponding input-output transfer function also contains fractional rational orders, the general Larin parameterization scheme is modifying for this case. The results are illustrated by numerical examples and it is shown that they coincide with Letov’s А.М. analytical construction of the optimal regulator.
%U https://jacm.scu.ac.ir/article_16048_f2e87ccabe8be0c4b5bb20c70d8e9e98.pdf