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

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

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 correspon...

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Bibliographic Details
Published in:Journal of applied and computational mechanics Vol. 6; no. Special Issue; pp. 1426 - 1430
Main Authors: Fikret A. Aliev, Nihan A. Aliev, N.I. Velieva, Nargiz A. Safarova
Format: Journal Article
Language:English
Published: Shahid Chamran University of Ahvaz 01-09-2020
Subjects:
fractional derivative
frequency method
larin parameterization
liquid ‎damper
optimal regulators
oscillatory systems
transfer function
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Summary: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.
ISSN:2383-4536
2383-4536
DOI:10.22055/jacm.2020.34950.2548