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Robust Feedback Control for a Linear Chain of Oscillators

Author

Listed:
  • Alexander Ovseevich

    (Ishlinsky Institute for Problems in Mechanics RAS)

  • Igor Ananievski

    (Ipmex RAS)

Abstract

We study the problem of bringing a linear chain of masses connected by springs to an equilibrium in finite time by means of a control force applied to the first mass. We describe explicitly the desired feedback control and establish its local equivalence to the minimum-time one. We prove the robustness of the control with respect to unknown disturbances and compute the time of transfer as well as its asymptotic estimate with respect to the length of the chain.

Suggested Citation

  • Alexander Ovseevich & Igor Ananievski, 2021. "Robust Feedback Control for a Linear Chain of Oscillators," Journal of Optimization Theory and Applications, Springer, vol. 188(1), pages 307-316, January.
    • Handle: RePEc:spr:joptap:v:188:y:2021:i:1:d:10.1007_s10957-020-01765-z
    DOI: 10.1007/s10957-020-01765-z
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    References listed on IDEAS

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    1. Alexander Ovseevich, 2015. "A Local Feedback Control Bringing a Linear System to Equilibrium," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 532-544, May.
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