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

  • Authors:
  • A. Ch. Gelig;I. E. Zuber

  • Affiliations:
  • St. Petersburg State University, St. Petersburg, Russia;St. Petersburg State University, St. Petersburg, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2009

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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.