Numerical operability analysis of multidimensional systems with interval parameters using interval degeneration factors

  • Authors:

  • Natalia Dudarenko;Anatoly Ushakov

  • Affiliations:

  • Department of Computer Science and Electrical Engineering, Luleå University of Technology, Luleå, Sweden;Department of Control Systems and Informatics, The National Research University of Information Technologies, Mechanics and Optics, Saint Petersburg, Russia

  • Venue:
  • ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume II
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper deals with the problem of numerical analysis of multidimensional systems with interval parameters in relation to the operability of MIMO systems. The problem is analyzed for the case when the relative estimation of the interval parameters exceeds 0.5 and based on the assumption that only the state matrix of a MIMO system contains interval parameters. The problem of operability estimation of the MIMO system is solved with interval degeneration factors. Interval degeneration factors are constructed using interval arithmetic and the singular values of the interval criterion matrices of the system. An operability analysis algorithm of multidimensional systems with interval parameters is proposed in the paper. The results are supported with an example.