### Larin Parameterization to Solve the Problem of Analytical ‎Construction of the Optimal Regulator of Oscillatory Systems ‎with Liquid Dampers

Document Type : Research Paper

Authors

1 Institute of Applied Mathematics, Baku State University, Z.Khalilov, 23, AZ1148 Baku, Azerbaijan

2 Institute of Information Technologies, ANAS, 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.

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Main Subjects

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