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

一利用主导极点估算系统的性能指标 表5-4(93) 二增加开环零、极点对根轨迹的影响. 表5-5(p94) 结论:1增加开环零点后根轨迹将向零点方向弯曲若选择适当可与极点 构成偶极子抵消有损于系统稳定性的极点 2增加开环极点后根轨迹向右弯曲不利于系统的稳定性和动态性 能

概述:闭环系统的动态性能与闭环极点在s平面上的位置密切相关系统的闭 环极点也就是特征方程式的根当系统的某一个或某些参量变化时特征 方程的根在s平面上运动的轨迹称为根轨迹 根轨迹法:直接由开环传递函数求取闭环特征根的方法

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)

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 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

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

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