Stabilizing the oscillations of an autonomous system
- Authors: Tkhai V.N.1
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Issue: Vol 77, No 6 (2016)
- Pages: 972-979
- Section: Nonlinear Systems
- URL: https://journal-vniispk.ru/0005-1179/article/view/150356
- DOI: https://doi.org/10.1134/S0005117916060035
- ID: 150356
Cite item
Abstract
For a dynamical system that admits a family of oscillations, we propose a small smooth autonomous control that corrects the model itself and at the same time stabilizes the oscillations of the controlled system. We consider a separate system, a set of dynamical systems, and a dynamical model containing weakly coupled subsystem (MCCS). For the MCCS, we give a solution of the stabilization problem for oscillations of the system itself. We use an idea that goes back to Pontryagin’s work on the limit cycle for a system close to Hamiltonian.
About the authors
V. N. Tkhai
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: tkhaivn@yandex.ru
Russian Federation, Moscow
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