📄 chap7_11w.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 = 3;
sizes.NumOutputs = 3;
sizes.NumInputs = 3;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 1;
sys = simsizes(sizes);
x0 = [0;0;0];
str = [];
ts = [0 0];
function sys=mdlDerivatives(t,x,u) %Time-varying model
J0=[86 0 0;
0 85 0;
0 0 113];
dJ=[-5 0 0;
0 -5 0;
0 0 -5];
d=[sin(t) cos(t) sin(2*t)]';
w=[x(1) x(2) x(3)]';
OM=[0 -x(3) -x(2);
x(3) 0 -x(1);
-x(2) x(1) 0];
M=[u(1) u(2) u(3)]';
dw=inv(J0+dJ)*(-OM*(J0+dJ)*w+M+d);
sys(1)=dw(1);
sys(2)=dw(2);
sys(3)=dw(3);
function sys=mdlOutputs(t,x,u)
sys(1)=x(1);
sys(2)=x(2);
sys(3)=x(3);
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