📄 chap3_4plant.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 = 2;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 2;
sizes.NumInputs = 1;
sizes.DirFeedthrough = 0;
sizes.NumSampleTimes = 1;
sys = simsizes(sizes);
x0 = [0.15;0];
str = [];
ts = [0 0];
function sys=mdlDerivatives(t,x,u) %Time-varying model
g=9.8;
m=1;
l=0.25;
D0=4/3*m*l^2;
d_D0=0.2*D0;
D=D0-d_D0;
C0=2.0;
d_C0=0.2*C0;
C=C0-d_C0;
G0=m*g*l*cos(x(1));
d_G0=0.2*G0;
G=G0-d_G0;
d=1.3*sin(0.5*pi*t);
tol=u;
P=2;
sys(1)=x(2);
if P==1
sys(2)=1/D0*(-C0*x(2)-G0+tol);
elseif P==2
sys(2)=1/D*(-C*x(2)-G+tol+d);
end
function sys=mdlOutputs(t,x,u)
sys(1)=x(1);
sys(2)=x(2);
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