Stability research of systems with interval-define parameters

E. V. Voroshilova, A. M. Malyshenko

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the practice of designing a system of automatic control it can happen that the significances of individual parameters of the system are unknown and nonmeasurable and there is no statistical description of the system parameters. Uncertainty in parameters can occur because of different causes including the usage of simplified mathematical models and the inaccuracy of task solution of the unknown variables identification. Moreover, parameters of the control object can vary over the technological and operational factors (ageing and wear of equipment elements, fluctuations in temperature etc.). In all cases mentioned above the variations of such parameters of SAC are considered to be interval-defined since their changing can be defined by interval method only. The aim of the given work is a comparative analysis and research of a series of criteria of the systems stability with interval-defined parameters (gray systems). Stability of such systems is estimated either according to their interval matrix of the state or according to their characteristic polynomial.

Original languageEnglish
Title of host publicationProceedings of the 7th International Scientific and Practical Conference of Students, Post-Graduates and Young Scientists: Modern Techniques and Technology, MTT 2001
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages164-166
Number of pages3
ISBN (Print)0780363469, 9780780363465
DOIs
Publication statusPublished - 2001
Event7th International Scientific and Practical Conference of Students, Post-Graduates and Young Scientists on Modern Techniques and Technology, MTT 2001 - Tomsk, Russian Federation
Duration: 26 Feb 20012 Mar 2001

Other

Other7th International Scientific and Practical Conference of Students, Post-Graduates and Young Scientists on Modern Techniques and Technology, MTT 2001
CountryRussian Federation
CityTomsk
Period26.2.012.3.01

ASJC Scopus subject areas

  • Biotechnology
  • Computer Science Applications
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Materials Science (miscellaneous)
  • Instrumentation
  • Education

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  • Cite this

    Voroshilova, E. V., & Malyshenko, A. M. (2001). Stability research of systems with interval-define parameters. In Proceedings of the 7th International Scientific and Practical Conference of Students, Post-Graduates and Young Scientists: Modern Techniques and Technology, MTT 2001 (pp. 164-166). [983786] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MTT.2001.983786