Next: Example of a fuzzy Up: Transfer behaviour of fuzzy Previous: Influence of the membership   Contents


Representation using 3D characteristics

Up to now, fuzzy controllers with only one input and one output of the fuzzy system have been considered. The same arguments with respect to the degrees of freedom of a fuzzy system are also valid in the case of multiple inputs. A graphical representation of the characteristic is not as easy as in the 2D cases of section 17.2.2. Moreover, for the case of two inputs, a 3D representation is possible. For a fuzzy controller with a fuzzy system having two inputs and and one output one gets a band of characteristics in a 2D discrete representation, or a 3D representation with the output over the two inputs, as shown in Figure 17.12 for a PD-type of fuzzy controller.

Figure 17.12: Control system with PD-type fuzzy controller: (a) block diagram and (b) 3D representation of the characteristics of the fuzzy system with and
For the case with more than two inputs, projections on the 3D space can be used to generate multiple 3D diagrams, but in general these representations have only a limited usefulness.

A fuzzy controller is typically a classical controller using nonlinear characteristics. But the design and parametrisation is entirely different.



Next: Example of a fuzzy Up: Transfer behaviour of fuzzy Previous: Influence of the membership   Contents
Christian Schmid 2005-05-09