📄 chap8_2plant.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 = 4;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 4;
sizes.NumInputs = 1;
sizes.DirFeedthrough = 0;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[pi/6,0,0,0];
str=[];
ts=[];
function sys=mdlDerivatives(t,x,u)
b=100;
f=8.5+0.5*sin(2*pi*t);
K1=15000;
K2=50;
sys(1)=x(2);
sys(2)=-b*x(2)-u+f;
sys(3)=K1*(x(2)-x(4));
sys(4)=x(3)-b*x(4)-u+K2*(x(2)-x(4));
function sys=mdlOutputs(t,x,u)
f=8.5+0.5*sin(2*pi*t);
sys(1)=x(1);
sys(2)=x(2);
sys(3)=x(3);
sys(4)=f;
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