📄 chap4_4plant.m
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%S-function for continuous state equation
function [sys,x0,str,ts]=s_function(t,x,u,flag)
switch flag,
%Initialization
case 0,
[sys,x0,str,ts]=mdlInitializeSizes;
case 1,
sys=mdlDerivatives(t,x,u);
%Outputs
case 3,
sys=mdlOutputs(t,x,u);
%Unhandled flags
case {2, 4, 9 }
sys = [];
%Unexpected flags
otherwise
error(['Unhandled flag = ',num2str(flag)]);
end
%mdlInitializeSizes
function [sys,x0,str,ts]=mdlInitializeSizes
sizes = simsizes;
sizes.NumContStates = 3;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 2;
sizes.NumInputs = 1;
sizes.DirFeedthrough = 0;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[0.5,0.5,0];
str=[];
ts=[];
function sys=mdlDerivatives(t,x,u)
%Friction
Fc=0.28*1000;
Fs=0.34*1000;
vs=0.01;
af=0.02;
rou0=260;
rou1=2.5;
g=Fc+(Fs-Fc)*exp(-(x(2)/vs)^2)+af*x(2);
sys(3)=x(2)-(rou0*abs(x(2))/g)*x(3); %?????
dt=rou0*x(3)+rou1*sys(3)+af*x(2);
sys(1)=x(2);
sys(2)=-25*x(2)+133*u-dt;
function sys=mdlOutputs(t,x,u)
%Friction
Fc=0.28*1000;
Fs=0.34*1000;
vs=0.01;
af=0.02;
rou0=260;
rou1=2.5;
g=Fc+(Fs-Fc)*exp(-(x(2)/vs)^2)+af*x(2);
Q=x(2)-(rou0*abs(x(2))/g)*x(3); %?????
dt=rou0*x(3)+rou1*Q+af*x(2);
sys(1)=x(1);
sys(2)=dt;
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