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Cascade synthesis of a state observer with nonlinear correcting influences

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Abstract

For the synthesis problem for an invariant tracking system for a nonlinear automated control object under incomplete measurements, we develop a decompositional procedure of observer state synthesis with sigmoidal correcting influences in order to get current estimates of the unmeasured state variables and existing uncertainties. This observer in the pre-limit situation possesses the advantages of an observer with discontinuous correcting influences operating in sliding mode; in particular, it lets us estimate external influences without introducing their dynamical model. Unlike a sliding mode observer whose order has been extended due to filters over discontinuous correcting influences, the dimension of this observer equals the dimension of the control object, and in a microprocessor implementation this observer ensures better quality (smoothness) of the signals being estimated.

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Authors and Affiliations

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

    S. A. Krasnova & N. S. Mysik

Authors
  1. S. A. Krasnova
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  2. N. S. Mysik
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Original Russian Text © S.A. Krasnova, N.S. Mysik, 2014, published in Avtomatika i Telemekhanika, 2014, No. 2, pp. 106–128.

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Krasnova, S.A., Mysik, N.S. Cascade synthesis of a state observer with nonlinear correcting influences. Autom Remote Control 75, 263–280 (2014). https://doi.org/10.1134/S0005117914020076

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