📄 chap10_3plant.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 = 1;
sizes.NumSampleTimes = 1; % At least one sample time is needed
sys = simsizes(sizes);
x0 = [0.5;0];
str = [];
ts = [0 0];
function sys=mdlDerivatives(t,x,u) %Time-varying model
tol=u(1);
M=0.1+0.06*sin(x(1));
C=0.03*cos(x(1));
m=0.020;
g=9.8;
l=0.05;
G=m*g*l*cos(x(1));
dt=3.0*sin(2*pi*t);
sys(1)=x(2);
sys(2)=1/M*(-C*x(2)-G+tol)+dt;
function sys=mdlOutputs(t,x,u)
sys(1)=x(1);
sys(2)=x(2);
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