📄 chap9_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 = 0;
sizes.NumSampleTimes = 1;
sys = simsizes(sizes);
x0 = [0;0];
str = [];
ts = [0 0];
function sys=mdlDerivatives(t,x,u)
ut=u(1);
J=0.2;
if x(2)==0
F_static=0;
elseif x(2)>0
Fc=0.15;Fs=0.6;alfa=0.02;Vs=0.05;
F_static=[Fc+(Fs-Fc)*exp(-(x(2)/Vs)^2)]*sign(x(2))+alfa*x(2); % Static friction model
elseif x(2)<0
Fc=0.2;Fs=0.7;alfa=0.03;Vs=0.05;
F_static=[Fc+(Fs-Fc)*exp(-(x(2)/Vs)^2)]*sign(x(2))+alfa*x(2); % Static friction model
end
F=F_static;
sys(2)=1/J*(ut-F);
sys(1)=x(2);
function sys=mdlOutputs(t,x,u)
sys(1)=x(1);
sys(2)=x(2);
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