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Optimal damping of perturbations in a system with unknown initial conditions

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Abstract

We consider the perturbation damping problem for a system in which, along with an external perturbation bounded in the L 2-norm, there is an initial perturbation caused by unknown nonzero initial conditions. We state necessary and sufficient conditions for the existence of an optimal control law minimizing the maximum L 2-norm of the system output for all L 2-bounded external perturbations and bounded initial states and synthesize this control law.

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References

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Authors and Affiliations

  1. Nizhni Novgorod State University, Nizhni Novgorod, Russia

    D. V. Balandin & M. M. Kogan

  2. Nizhni Novgorod State University of Architecture and Construction Industry, Nizhni Novgorod, Russia

    D. V. Balandin & M. M. Kogan

Authors
  1. D. V. Balandin
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  2. M. M. Kogan
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Additional information

Original Russian Text © D.V. Balandin, M.M. Kogan, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 12, pp. 1741–1747.

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Balandin, D.V., Kogan, M.M. Optimal damping of perturbations in a system with unknown initial conditions. Diff Equat 45, 1775–1782 (2009). https://doi.org/10.1134/S0012266109120088

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  • DOI: https://doi.org/10.1134/S0012266109120088

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