There are many concepts that are used in fuzzy logic that sometimes become useful when studying fuzzy control. The following problems introduce some of the more popular fuzzy logic oncepts that were not treated earlier in the chapter or were treated only briefly (a)The complement(\not )of a fuzzy set with a membership function has a membership function given by A(x)=1-u(x). Sketch the complement of the fuzzy set shown in Figure 2.6 on page 30 (b)There are other ways to def ine the\triangular norm\for representing
There are many concepts that are used in fuzzy sets that sometimes become useful when studying fuzzy control. The following problems introduce some of the more popular fuzzy set concepts that not treate were not treated earlier in the chapter. (a)The\support\ of a fuzzy set with membership function (x) is the(crisp) set of all points x on the universe of discourse such
Fuzzy control does not exist as an isolated topic devoid of relationships to other fields, and it is important to understand how it relates to these other fields in order to strengthen your understanding of it. We have emphasized that fuzzy control has its foundations in conventional control and that there are many relationships to techniques, ideas, and methodologi there. Fuzzy control is also an\intelligent control\technique
The design process for fuzzy controllers that is based on the use of heuristic information from human experts has found success in many industrial applications. Moreover, the approach to constructing fuzzy controllers via numerical input-output data is increasingly finding use
Develop a graphical depiction of the operation of the fuzzy controller for the inverted pendulum similar to 3 π the one given in Figure2.1 99 on page46. For this choose(t)=andet)=, which will result in four rules being on. Be sure to show all parts of the graphical depiction
