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Stabilizing the oscillations of an autonomous system

  • Nonlinear Systems
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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.

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References

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    V. N. Tkhai

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  1. V. N. Tkhai
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Correspondence to V. N. Tkhai.

Additional information

Original Russian Text © V.N. Tkhai, 2016, published in Avtomatika i Telemekhanika, 2016, No. 6, pp. 38–46.

This paper was recommended for publication by L.B. Rapoport, a member of the Editorial Board

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Tkhai, V.N. Stabilizing the oscillations of an autonomous system. Autom Remote Control 77, 972–979 (2016). https://doi.org/10.1134/S0005117916060035

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  • DOI: https://doi.org/10.1134/S0005117916060035

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