Title of article :
Larin Parameterization to Solve the Problem of Analytical Construction of the Optimal Regulator of Oscillatory Systems with Liquid Dampers
Author/Authors :
Safarova, N.A Institute of Applied Mathematics - Baku State University - Z.Khalilov - 23 - AZ1148 Baku, Azerbaijan , Aliev, Fikret A. Institute of Applied Mathematics - Baku State University - Z.Khalilov - 23 - AZ1148 Baku, Azerbaijan , Aliev, N.A Institute of Applied Mathematics - Baku State University - Z.Khalilov - 23 - AZ1148 Baku, Azerbaijan , Velieva, N.I Institute of Applied Mathematics - Baku State University - Z.Khalilov - 23 - AZ1148 Baku, Azerbaijan
Abstract :
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.
Keywords :
Fractional derivative , Larin parameterization , Oscillatory systems , Liquid damper , Transfer function , Frequency method , Optimal regulators
Journal title :
Journal of Applied and Computational Mechanics
