Exercise 2.3(Inverted Pendulum: Gaussian Membership Functions): Suppose that for the inverted pendulum example, we use Gaussian membership functions as defined in Table 2. 4 on page 53 rather than the triangular membership functions. To do this, use the same center values as we had for the triangular membership functions, use the\left\and\right\membership functions shown in Table 2. 4 for the outer edges of the input

problem you will study how to represent various concepts and quantify various relations with membership functions. For each part below, there is more than one correct answer. Provide one of these and justify your choice in each case. (a)Draw a membership function (and hence define a fuzzy set) that quantifies the set of all people of medium height

this problem you will study how to represent various concepts and quantify various relations with membership functions when there is more than one universe of discourse. Use minimum to quantify the\and.\For each part below, there is more than one correct answer. Provide one of these and justify your choice in each case. Also, in each case draw the three-dimensional

In this problem we will study the effects of adding rules to the rule- base. Suppose that we use seven triangular membership functions on each universe of discourse and make them uniformly distributed in the same manner as how we did in Exercise 2.3. In particular make the points at which the outermost input membership functions for e saturate at +r/2 and for e at tr/4 For u make the outermost ones have their peaks

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

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

二由Bode图确定系统的传递函数步骤: 1.用±20ndb/dec的直线段去近似实验所得对数幅频特性 2开环增益K的确定

一、参量根轨迹 以非K为参变量的根轨迹称参量根轨迹又称广义根轨迹.绘制方法:将参量演化到相当于K的位置上适用前述规则 二.多回路系统的根轨迹 从内环开始分层绘制逐步扩展到整个系统

1.校正的作用 图6-20:曲线I:K小,稳态性能不好 暂态性能满足,稳定性好 曲线Ⅱ:K大,稳态性能好 暂态性能不满足,稳态性能差

一、Bode图及其特点 1.Bode图的构成 对数幅频L(a)=mG(j)H(ja)|=201gG(a)H(a) 对数相频(a)=∠Gj)Ha)