📄 chap9_6obv.m
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function [sys,x0,str,ts] = obser(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 {1,2,4,9}
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 = 3;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys = simsizes(sizes);
x0=[0.1 0];
str=[];
ts=[];
function sys=mdlDerivatives(t,x,u)
k1=400;
k2=800;
x1=u(1);
y=x1;
ut=u(3);
M=0.5;g=9.8;l=1;m=1;
A=[0 1;0 0];
b=[0 1]';
C=[1 0];
K=[k1 k2]';
fx=-1/2*m*g*l*sin(x1);
gx=1/M;
ye=x1-x(1);
D=2;
v=-D*sign(ye);
dx=A*x+b*(fx+gx*ut-v)+K*(y-C*x);
sys(1)=dx(1);
sys(2)=dx(2);
function sys=mdlOutputs(t,x,u)
sys(1) = x(1);
sys(2) = x(2);
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