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Passivity approach to fuzzy control systems. (English) Zbl 0919.93047
Many fuzzy controllers can be viewed as nonlinear controllers characterized by a bounded continuous input-output mapping with some symmetry properties. The paper shows that passivity theory forms a fruitful framework for the stability analysis of such fuzzy controllers. For linear time-invariant continuous-time controlled systems, the passivity approach leads to frequency response conditions similar to previous results in the literature. However, more general signals can be considered here, and the stability conditions can be strengthened to include robustness with respect to uncertainties in the controlled system.

93C42Fuzzy control systems
93D10Popov-type stability of feedback systems
93C80Frequency-response methods
Full Text: DOI
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