📄 chap4_4s.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;
%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 = 0;
sizes.NumDiscStates = 0;
sizes.NumOutputs = 3;
sizes.NumInputs = 3;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[];
str=[];
ts=[];
function sys=mdlOutputs(t,x,u)
persistent s0
e=u(1);
de=u(2);
c=150;
if t==0
e0=e;de0=de;
s0=c*e0+de0;
end
r=1*sin(0.5*2*pi*t);
dr=1*2*pi*0.5*cos(0.5*2*pi*t);
ddr=-1*(2*pi*0.5)^2*sin(0.5*2*pi*t);
%r=1.0;dr=0;ddr=0;
x1=r-e;
x2=dr-de;
fx=-25*x2;
b=133;
nmn=10;
Ft=s0*exp(-nmn*t);
dFt=-s0*nmn*exp(-nmn*t);
s=c*e+de-Ft;
D=250;
xite=1.0;
M=2;
if M==1
K=D+xite;
elseif M==2 %Estimation for K with fuzzy
K=abs(u(3))+xite;
end
ut=1/b*(-fx+ddr+c*de+K*sign(s)-dFt);
%ut=50*e+0.01*de;
sys(1)=ut;
sys(2)=s;
sys(3)=K;
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