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Disturbance neutralization principle for optimized dynamical systems

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Abstract

We suggest a concept of optimal control of dynamical systems with arbitrary unmodelable disturbances by synthesizing an ordinary and a generalized optimal control, which is obtained preliminarily for a model of the undisturbed dynamical system but is then used for the control of the actual perturbed dynamical system. By an example we illustrate how to construct a generalized optimal control and an approximate but arbitrarily accurate synthesis of the optimal control providing an arbitrary desired neutralization level of arbitrary unmodelable disturbances.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. R. Smol’yakov

Authors
  1. E. R. Smol’yakov
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Correspondence to E. R. Smol’yakov.

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Original Russian Text © E.R. Smol’yakov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 796–806.

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Smol’yakov, E.R. Disturbance neutralization principle for optimized dynamical systems. Diff Equat 51, 808–818 (2015). https://doi.org/10.1134/S0012266115060129

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  • DOI: https://doi.org/10.1134/S0012266115060129

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