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Vector control design for robust stabilization of a class of uncertain systems

  • Adaptive and Robust Systems
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Abstract

We consider a state-space control system such that the elements of the system matrix and the matrix of the control term are functionals having arbitrary nature. By using a quadratic Lyapunov function, a stabilizing vector control is designed such that it does not depend on the form of the elements of the system matrix, but rather on the bounds of their possible variations.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. Ch. Gelig & I. E. Zuber

Authors
  1. A. Ch. Gelig
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  2. I. E. Zuber
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Additional information

Original Russian Text © A.Ch. Gelig, I.E. Zuber, 2009, published in Avtomatika i Telemekhanika, 2009, No. 11, pp. 117–125.

This work was supported by the Council on Grants under the President of the Russian Federation to support young Russian scientists and leading scientific schools, project no. NSh2387.2008.1, and the Russian Foundation for Basic Research, project no. 09-01-00245.

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Gelig, A.C., Zuber, I.E. Vector control design for robust stabilization of a class of uncertain systems. Autom Remote Control 70, 1871–1879 (2009). https://doi.org/10.1134/S0005117909110113

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  • DOI: https://doi.org/10.1134/S0005117909110113

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