Signal distributions in fuzzy control loops

The paper deals with signal distributions interpreted as fuzzy signals in the control loop. With respect to specific effects coming up with the use of sensory information like noise or spatial distribution of a signal it is of interest how the control loop behaves in the presence of fuzzy signals. In this paper instationary fuzzy sets, especially time variant membership functions and their derivatives, are described. On this basis the control scheme according to Takagi/Sugeno is discussed especially with regard to stability. It is shown that, also in the case of fuzzy signals in the control loop, global stability can be proven.<>