模糊控制实验

中南大学模糊控制课程实验报告学生姓名： 彭雄威 指导教师： 袁 艳 学 院： 信息科学与工程学院 学 号： 实验一：本系统设计基于MATLAB图形模糊推理系统，设计步骤如下：打开MATLAB，输入指令fuzzy，打开模糊逻辑工具箱的图形用户界面窗口，新建一个Mamdani模糊推理系统。（1） 增加一个输入变量，将输入变量命名为E、Ec，将输出变量命名U。这样就建立了一个两输入单输出的模糊推理系统。如图1.1所示。 图1.1增加一个输入变量(2) 设计模糊化模块：设计隶属度函数论域范围 图3.2设计水位误差E模块 3.3设计水位误差Ec模块 图3.4设计水位输出U模块（4）模糊控制器的规则设计（5） 通过观察器观察规则情况在菜单view中的rules和surface选项分别对应得是规则观测器和曲面观测器。 图 3.7 规则观测器图 3.6 曲面观测器 (6) 保存编辑好的FIS文件实验二：利用MATLAB软件的M文件编辑器和实验一所生成的fuzzf.FIS文件，在M文件编辑器中输入：a=readfis(fuzzf);evalfis(-0.5,-0.07;-0.5,0;-0.5,0.07; 0, -0.07;0,0;0,0.07;0.5,-0.07;0.5,0;0.5,0.07,a)便可得fuzzf.FIS文件的模糊控制查询表，其中的数据在水位误差E的论域为-1 1，误差变化Ec的论域为-0.1 0.1内可以任意取值。a=readfis( fuzzf )a = name: fuzzf type: mamdani andMethod: min orMethod: max defuzzMethod: centroid impMethod: min aggMethod: max input: 1x2 struct output: 1x1 struct rule: 1x5 structa=readfis( fuzzf );evalfis(-0.5,-0.07;-0.5,0;-0.5,0.07; 0, -0.07;0,0;0,0.07;0.5,-0.07;0.5,0;0.5,0.07,a)ans = -0.2000 -0.4444 -0.4667 0.1363 -0.0014 -0.2271 0.4000 0.44120.1333实验三利用MATLAB软件的M文件编辑器（也可选择C语言）完成模糊控制查询表的计算。注意：全部工作都由程序实现，不利用FIS文件，不使用Fuzzy工具箱，包括模糊关系矩阵的求取及模糊推理、模糊判决。表1 偏差E的赋值表 eE-6-5-4-3-2-10123456NB10.80.70.40.40.10000000NM0.20.710.70.300000000NS00.10.30.710.70.2000000NO00000.10.61000000PO00000010.60.10000PS0000000.20.710.70.30.10PM000000000.20.710.70.3PB000000000.10.40.70.81表2 偏差变化率Ec的赋值表ecEc-6-5-4-3-2-10123456NB10.70.30000000000NM0.30.710.70.300000000NS000.30.710.70.3000000O00000.30.710.70.30000PS0000000.30.710.70.300PM000000000.30.710.70.3PB00000000000.30.71表3 推理语言规则表EcENBNMNSOPSPMPBNBPBPBPBPBPMOONMPBPBPBPBPMOONSPMPMPMPMONSNSNOPMPMPSONSNMNMPOPMPMPSONSNMNMPSPSPSONMNMNMNMPMOONMNSNSNSNSPBOONMNSNSNSNS表4 控制量U的赋值表U-6-5-4-3-2-10123456NB10.70.30000000000NM0.30.710.70.300000000NS000.30.710.70.3000000O00000.30.710.70.30000PS0000000.30.710.70.300PM000000000.30.710.70.3PB00000000000.30.71程序如下：clc;clear;E = 1,0.8,0.7,0.4,0.1,0,0,0,0,0,0,0,0; 0.2,0.7,1,0.7,0.3,0,0,0,0,0,0,0,0; 0,0.1,0.3,0.7,1,0.7,0.2,0,0,0,0,0,0; 0,0,0,0,0.1,0.6,1,0,0,0,0,0,0; 0,0,0,0,0,0,1,0.6,0.1,0,0,0,0; 0,0,0,0,0,0,0.2,0.7,1,0.7,0.3,0.1,0; 0,0,0,0,0,0,0,0,0.2,0.7,1,0.7,0.3; 0,0,0,0,0,0,0,0,0.1,0.4,0.7,0.8,1%8*13EC =1,0.7,0.3,0,0,0,0,0,0,0,0,0,0; 0.3,0.7,1,0.7,0.3,0,0,0,0,0,0,0,0; 0,0,0.3,0.7,1,0.7,0.3,0,0,0,0,0,0; 0,0,0,0,0.3,0.7,1,0.7,0.3,0,0,0,0; 0,0,0,0,0,0,0.3,0.7,1,0.7,0.3,0,0; 0,0,0,0,0,0,0,0,0.3,0.7,1,0.7,0.3; 0,0,0,0,0,0,0,0,0,0,0.3,0.7,1%7*13U=1,0.7,0.3,0,0,0,0,0,0,0,0,0,0; 0.3,0.7,1,0.7,0.3,0,0,0,0,0,0,0,0; 0,0,0.3,0.7,1,0.7,0.3,0,0,0,0,0,0; 0,0,0,0,0.3,0.7,1,0.7,0.3,0,0,0,0; 0,0,0,0,0,0,0.3,0.7,1,0.7,0.3,0,0; 0,0,0,0,0,0,0,0,0.3,0.7,1,0.7,0.3; 0,0,0,0,0,0,0,0,0,0,0.3,0.7,1%7*13rulelist= 1,1,1,1,2,4,4; 1,1,1,1,2,4,4; 2,2,2,2,4,5,5; 2,2,3,4,5,6,6; 2,2,3,4,5,6,6; 3,3,4,6,6,6,6; 4,4,6,7,7,7,7; 4,4,6,7,7,7,7%8*7for iii=1:13 %偏差E的模糊值控制 for jjj=1:13 %偏差率EC的模糊值控制 for ii=1:8 %偏差E的模糊规则控制 for jj=1:7 %偏差变化率EC的模糊规则控制A_rulelist = rulelist(ii,jj); %查模糊规则表 %*计算C1A* A = E(ii,:); %取A C_A = U(A_rulelist,:); %取Ci for i=1:13 %求R1Afor j=1:13if(A(i) C_A(1,j)Ra(i,j) = C_A(1,j);elseRa(i,j) = A(i);endendend AA = zeros(1,13); %取AA=A 如AA=1,0,0,0,0,0,0,0,0,0,0,0,0; %AA(1,iii) = E(ii,iii); AA(1,iii) = 1; for i=1:13 %先取小for j=1:13 if(AA(j) Ra(j,i)A_qux(j,i) = Ra(j,i);elseA_qux(j,i) = AA(j);endendend for i=1:13 %再取大，求和CiAmax = A_qux(1,i);for j=1:13if(max C_B(1,j)Rb(i,j) = C_B(1,j);elseRb(i,j) = B(1,i);endendend BB = zeros(1,13); %取BB=B 如BB=1,0,0,0,0,0,0,0,0,0,0,0,0; %BB(1,jjj) = EC(jj,jjj); BB(1,jjj) = 1; for i=1:13 %先取小for j=1:13 if(BB(j) Rb(j,i)B_qux(j,i) = Rb(j,i);elseB_qux(j,i) = BB(j);endendend for i=1:13 %再取大，求和CiAmax = B_qux(1,i);for j=1:13if(max CiB(i)Ci(i) = CiB(i);elseCi(i) = CiA(i);endend %*计算C1完毕* C(ii-1)*7+jj,:) = Ci; % 将Ci存到数组C中，C是56*13的数组endend %根据式Ui=C=C1并C2并并3for i=1:13max = C(1,i);for j=1:56if(max C(j,i)max = C(j,i);endendUi(i) = max;end %用重心法进行解模糊运算,并映射为实际的控制量sum_fenz = 0;sum_fenm = 0;for i=1:13sum_fenz = sum_fenz + (i-7)*Ui(i);sum_fenm = sum_fenm + Ui(i);endcore = sum_fenz/sum_fenm;U_control(iii,jjj) = core;endendU_con