📄 chap8_1.m
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%Grey model prediction
clear all;close all;
global J b
para=[];
BB=zeros(1,3);
ts=0.001;
N=3; %Needing N>=2(2 is x demension number)
TimeSet=[0:ts:ts*N];
%Using grey model to predict disturbance
V=zeros(1,3);
para=[];
[t,x]=ode45('chap8_1eq',TimeSet,[0 0],[],para,V);
x22=x(:,2); %Speed value
x1(1,:)=x(2,:); %It is the first value (not including initial value)
BB=[x1(1,:),1];
for k=2:1:N
x1=[x1;
x1(k-1,:)+x(k+1,:)];
BB=[BB;
[x1(k,:) k]];
end
D=zeros(N+1,1);
for k=2:1:N+1
ddx(k)=(x22(k)-x22(k-1))/ts;
u(k)=0.50*sin(k*ts);
D(k)=1/b*(ddx(k)+J*x22(k))-u(k);
end
D1=zeros(N,1);
D1(1)=D(1)+D(2);
for k=2:1:N
D1(k)=D1(k-1)+D(k+1);
end
V=inv(BB'*BB)*BB'*D1;
V=V'
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