Maximizing stability degree of control systems under interval uncertainty using a coefficient method

Maxim I. Pushkarev, Sergey A. Gaivoronsky

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and pa- rameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random or- der and the desired controller parameters. One of the most widely used criteria when designing an automatic control system is the system sta- bility maximum degree. In real systems, the object parameters usually are rough or can be changed within certain limits. Such parameters are called interval parameters, and such control systems are called interval control systems. It seems very interesting to provide the maximum de- gree of robust stability in the system. The approach is based on Coefficient assessment of the stability of interval systems' indices and allows maxi- mizing the robust stability degree when using unsophisticated algebraic associations.

Original languageEnglish
Pages (from-to)248-260
Number of pages13
JournalReliable Computing
Volume19
Issue number3
Publication statusPublished - 2014

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Keywords

  • Coefficient method
  • Interval system
  • Robust
  • Stability degree

ASJC Scopus subject areas

  • Software
  • Applied Mathematics
  • Computational Mathematics

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