Describing function method for PI-fuzzy controlled systems stability analysis

  • Radu-Emil Precup “Politehnica” University of Timisoara
  • Stefan Preitl “Politehnica” University of Timisoara
Keywords: fuzzy control, describing functions, stability analysis, PI controllers, servosystems

Abstract

The paper proposes a global stability analysis method dedicated to fuzzy control systems containing Mamdani PI-fuzzy controllers with output integration to control SISO linear / linearized plants. The method is expressed in terms of relatively simple steps, and it is based on: the generalization of the describing function method for the considered fuzzy control systems to the MIMO case, the approximation of the describing functions by applying the least squares method. The method is applied to the stability analysis of a class of PI-fuzzy controlled servo-systems, and validated by considering a case study.

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Published
2004-10-12
How to Cite
1.
Precup R-E, Preitl S. Describing function method for PI-fuzzy controlled systems stability analysis. The Annals of “Dunarea de Jos“ University of Galati. Fascicle III, Electrotechnics, Electronics, Automatic Control, Informatics [Internet]. 12Oct.2004 [cited 26Dec.2024];27:14-9. Available from: https://gup.ugal.ro/ugaljournals/index.php/eeaci/article/view/717
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Articles