Parametric synthesis method of integral systems on the basis of root locus curves of Kharitonov polynomials

  • Authors:

  • A. A. Nesenchuk;S. M. Fedorovich

  • Affiliations:

  • United Institute of Informatics Problems, Belarussian National Academy of Sciences, Minsk, Belarus;United Institute of Informatics Problems, Belarussian National Academy of Sciences, Minsk, Belarus

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2008

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Abstract

The method is developed for the synthesis of a stable set of characteristic polynomials of an interval dynamic system on the basis of the initial unstable set with the use of the system model in the form of a free root portrait. The synthesis is carried out by changing the boundaries (adjustment) of the interval of uncertainty of a free polynomial term, which enables affording the stability without a change of the configuration of the root portrait of the system. As a criterion of the adjustment, the distance is assigned that is measured along trajectories of the root portrait; in particular, a new polynomial can be defined by the nearest polynomial to the prescribed one with due regard for requirements of the quality of the system.