📄 chap4_9s.m
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function [sys,x0,str,ts] = spacemodel(t,x,u,flag)
switch flag,
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
case 1,
sys=mdlDerivatives(t,x,u);
case 3,
sys=mdlOutputs(t,x,u);
case {2,4,9}
sys=[];
otherwise
error(['Unhandled flag = ',num2str(flag)]);
end
function [sys,x0,str,ts]=mdlInitializeSizes
sizes = simsizes;
sizes.NumContStates = 6;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 2;
sizes.NumInputs = 3;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys = simsizes(sizes);
x0 = [0.1*ones(6,1)];
str = [];
ts = [];
function sys=mdlDerivatives(t,x,u)
r=0.2*sin(pi*t+pi/2);
dr=0.2*pi*cos(pi*t+pi/2);
ddr=-0.2*pi*pi*sin(pi*t+pi/2);
y1=u(2);
y2=u(3);
e=y1-r;
de=y2-dr;
k1=10;
k2=25;
k=[k2;k1];
s=u(3)-u(1);
for i=1:1:5
alfa(i,1)=x(i+1);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fsd=0;
for l=1:1:5
gs=-[(s+pi/6-(l-1)*pi/12)/(pi/24)]^2;
miu(l)=exp(gs);
end
for l=1:1:5
fsu(l)=miu(l);
fsd=fsd+miu(l);
end
if fsd==0
fsd=fsd+0.01;
end
fs=fsu/fsd;
ufz=alfa'*fs';
E=x(1);
uvs=-E*sign(s);
u=ufz+uvs;
xite1=200;
S1=-xite1*s*fs;
xite2=0.50;
sys(1)=xite2*abs(s);
for i=2:1:6
sys(i)=S1(i-1);
end
function sys=mdlOutputs(t,x,u)
r=0.2*sin(pi*t+pi/2);
dr=0.2*pi*cos(pi*t+pi/2);
ddr=-0.2*pi*pi*sin(pi*t+pi/2);
y1=u(2);
y2=u(3);
e=y1-r;
de=y2-dr;
k1=10;
k2=25;
k=[k2;k1];
s=u(3)-u(1);
for i=1:1:5
alfa(i,1)=x(i+1);
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fsd=0;
for l=1:1:5
gs=-[(s+pi/6-(l-1)*pi/12)/(pi/24)]^2;
miu(l)=exp(gs);
end
for l=1:1:5
fsu(l)=miu(l);
fsd=fsd+miu(l);
end
if fsd==0
fsd=fsd+0.01;
end
fs=fsu/fsd;
ufz=alfa'*fs';
E=x(1);
uvs=-E*sign(s);
ut=ufz+uvs; %FSMC
%ut=-1500*e-150*de; %PD
sys(1)=ut;
sys(2)=E;
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