Stability Analysis of Fuzzy Control Systems. Multivariable Point of View
| Authors: | Precup Radu-Emil, Politehnica University of Timisoara, Romania
Preitl Stefan, Politehnica University of Timisoara, Romania |
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| Topic: | 3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.) |
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| Session: | Fuzzy Control: Stability |
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| Keywords: | fuzzy systems, nonlinear control systems, describing functions, stability analysis, PI controllers, limit cycles. |
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Abstract
The paper proposes a new global stability analysis method dedicated to fuzzy control systems containing Mamdani fuzzy controllers with dynamics to control SISO linear / linearized plants. The method is expressed in terms of relatively simple steps based on the generalization of the describing function method to the MIMO case and on the application of the least squares method to approximate the describing functions. The method is applied to the stability analysis of a class of PI-fuzzy controlled servo systems and validated by a case study.
