English

Analytical construction of regulators for oscillatory systems with liquid dampers

Dynamical Systems 2020-04-23 v1

Abstract

A mathematical model of oscillatory systems control with liquid dampers is considered which differs from the classical ones by replacing the first derivative of such a fractional derivative that is between numbers 0 and 2 other than unity. Using the methods of constructing Letov controllers, a control law is constructed that ensures the asymptotic stability of the closed system and minimizes the quadratic functional. The results are illustrated by a specific numerical example.

Keywords

Cite

@article{arxiv.2004.10388,
  title  = {Analytical construction of regulators for oscillatory systems with liquid dampers},
  author = {F. A. Aliev and N. A. Aliev and N. A. Ismailov},
  journal= {arXiv preprint arXiv:2004.10388},
  year   = {2020}
}