经典迟滞非线性Preisach模型matlab代码
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%% Let N=10
clear
N=10; %this control the plane size
%generate the alpha-beta plane;
[a b]=meshgrid(-0.5:1/N:0.5,0.5:-1/N:-0.5);
x=-0.5:0.01:0.5;
y=zeros(1,length(x));
x_old=-0.6;
counter=1;
w=1/(N*(N-1))/2;
%x increases
for i=1:1:length(x)
for j=1:N-1
for k=1:N-j
if x(i)>=b(j,k)
temp=1;
elseif x(i)<=a(j,k)
temp=0;
else
if x_old<=a(j,k)
temp=0;
elseif x_old>=b(j,k)
temp=1;
end
end
y(counter)=y(counter)+temp*w;
end
end
counter=counter+1;
end
% figure
% % plot(x,y,'r')
x1=x;
y1=y;
%x decreases
x=0.5:-0.01:-0.5;
y=zeros(1,length(x));
x_old=0.6;
counter=1;
for i=1:1:length(x)
for j=1:N-1
for k=1:N-j
if x(i)>=b(j,k)
temp=1;
elseif x(i)<=a(j,k)
temp=0;
else
if x_old<=a(j,k)
temp=0;
elseif x_old>=b(j,k)
temp=1;
end
end
y(counter)=y(counter)+temp*w;
end
end
counter=counter+1;
end
figure
plot([x1 x],[y1 y],'r');
%% Let N=100
N=100; %this control the plane size
[a b]=meshgrid(-0.5:1/N:0.5,0.5:-1/N:-0.5);%generate the alpha-beta plane;
x=-0.5:0.01:0.5;
y=zeros(1,length(x));
x_old=-0.6;
counter=1;
w=1/(N*(N-1))/2;
%x increases
for i=1:1:length(x)
for j=1:N-1
for k=1:N-j
if x(i)>=b(j,k)
temp=1;
elseif x(i)<=a(j,k)
temp=0;
else
if x_old<=a(j,k)
temp=0;
elseif x_old>=b(j,k)
temp=1;
end
end
y(counter)=y(counter)+temp*w;
end
end
counter=counter+1;
end
% hold on
% plot(x,y,'b')
x1=x;
y1=y;
x=0.5:-0.01:-0.5;
y=zeros(1,length(x));
x_old=0.6;
counter=1;
%x decreases
for i=1:1:length(x)
for j=1:N-1
for k=1:N-j
if x(i)>=b(j,k)
temp=1;
elseif x(i)<=a(j,k)
temp=0;
else
if x_old<=a(j,k)
temp=0;
elseif x_old>=b(j,k)
temp=1;
end
end
y(counter)=y(counter)+temp*w;
end
end
counter=counter+1; end
hold on
plot([x1 x],[y1 y],'b'); legend('N=45', 'N=4950');