?? chap9_7s.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 = 1;
sizes.NumInputs = 2;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[];
str=[];
ts=[];
function sys=mdlOutputs(t,x,u)
x=u;
bx=1.0;
fx=0.1*sin(20*t);
gx=0.12*sin(t);
lg=0.015;
beta=1.0;
xite=0.20;
q=3;p=5;
M=1;
if M==1 %TSM
T1=abs(x(1))^(q/p)*sign(x(1));
T2=abs(x(1))^(q/p-1)*sign(x(1));
s=x(2)+beta*T1;
ut=-inv(bx)*(fx+beta*q/p*T2*x(2)+(lg+xite)*sign(s));
elseif M==2 %NTSM
T1=abs(x(2))^(p/q)*sign(x(2));
T2=abs(x(2))^(2-p/q)*sign(x(2));
s=x(1)+1/beta*T1;
ut=-inv(bx)*(fx+beta*q/p*T2+(lg+xite)*sign(s));
end
sys(1)=ut;
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