📄 chap4_5s.m
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%S-function for continuous state equation
function [sys,x0,str,ts]=s_function(t,x,u,flag)
switch flag,
%Initialization
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
%Outputs
case 3,
sys=mdlOutputs(t,x,u);
%Unhandled flags
case {2, 4, 9 }
sys = [];
%Unexpected flags
otherwise
error(['Unhandled flag = ',num2str(flag)]);
end
%mdlInitializeSizes
function [sys,x0,str,ts]=mdlInitializeSizes
sizes = simsizes;
sizes.NumContStates = 0;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 2;
sizes.NumInputs = 2;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[];
str=[];
ts=[];
function sys=mdlOutputs(t,x,u)
persistent a2
if t==0
a=newfis('fuzz_smc');
a=addvar(a,'input','s',5*[-25,25]);
a=addmf(a,'input',1,'N','trapmf',5*[-25,-25,-3,0]);
a=addmf(a,'input',1,'Z','trimf',5*[-3,0,3]);
a=addmf(a,'input',1,'B','trapmf',5*[0,3,25,25]);
a=addvar(a,'output','u',20*[-5,5]);
a=addmf(a,'output',1,'N','trapmf',20*[-5,-5,-3,0]);
a=addmf(a,'output',1,'Z','trimf',20*[-3,0,3]);
a=addmf(a,'output',1,'B','trapmf',20*[0,3,5,5]);
rulelist=[1 3 1 1;
2 2 1 1;
3 3 1 1];
a=addrule(a,rulelist);
%showrule(a) %Show fuzzy rule base
a1=setfis(a,'DefuzzMethod','centroid'); %Defuzzy
writefis(a1,'fsmc'); %Save fuzzy system as "fsmc.fis"
a2=readfis('fsmc');
F=1;
if F==1
figure(1);
plotmf(a,'input',1);
figure(2);
plotmf(a,'output',1);
end
end
r=sin(2*pi*t);
dr=2*pi*cos(2*pi*t);
ddr=-(2*pi)^2*sin(2*pi*t);
e=u(1);
de=u(2);
c=25;
s=c*e+de;
x2=dr-de;
f=-25*x2;
b=133;
ueq=1/b*(c*de+ddr-f);
D=200;
xite=D+150;
usw=1/b*xite*sign(s);
M=2;
if M==1
miu=1.0;
elseif M==2
miu=evalfis([s],a2); %Using fuzzy inference
end
ut=ueq+miu*usw;
sys(1)=ut;
sys(2)=miu;
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