📄 chap9_4ndo.m
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function [sys,x0,str,ts]= NDO(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 {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 = 6;
sizes.DirFeedthrough = 1;
sizes.NumSampleTimes = 0;
sys=simsizes(sizes);
x0=[0 0];
str=[];
ts=[];
function sys=mdlDerivatives(t,x,u)
g=9.8;
T=[u(1);u(2)];
q=[u(3);u(5)];
dq=[u(4);u(6)];
J=[0.1+2*0.01*cos(q(2)) 0.01*sin(q(2))
0.01*sin(q(2)) 0.01];
G1=0.01*g*cos(q(1)+q(2));
G2=0.01*g*cos(q(1)+q(2));
G=[G1;G2];
c=1.5;
L=c*[1 0;1 1]*inv(J);
p=c*[dq(1);dq(1)+dq(2)];
dz=-L*x+L*(G-T-p);
sys(1)=dz(1);
sys(2)=dz(2);
function sys=mdlOutputs(t,x,u)
c=1.5;
dq=[u(4);u(6)];
p=c*[dq(1);dq(1)+dq(2)];
sys(1)=x(1)+p(1);
sys(2)=x(2)+p(2);
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