自学# matlab画fal函数图像（分段）

固定α改变δ或固定δ改变α画出fal函数的图像，利用曲线的平滑和连续性判断自抗扰的控制性能，从而对fal函数进行优化

公式如下

%固定δ为0.01，改变α%
e=-1:0.01:1;
fal1=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal1(i)=(abs(e(i))^0)*sign(e(i));
else
fal1(i)=e(i)/(0.01^(1-0));
end
end
fal2=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal2(i)=(abs(e(i))^0.2)*sign(e(i));
else
fal2(i)=e(i)/(0.01^(1-0.2));
end
end
fal3=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal3(i)=(abs(e(i))^0.4)*sign(e(i));
else
fal3(i)=e(i)/(0.01^(1-0.4));
end
end
fal4=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal4(i)=(abs(e(i))^0.6)*sign(e(i));
else
fal4(i)=e(i)/(0.01^(1-0.6));
end
end
fal5=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal5(i)=(abs(e(i))^0.8)*sign(e(i));
else
fal5(i)=e(i)/(0.01^(1-0.8));
end
end
fal6=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0.01
fal6(i)=(abs(e(i))^1)*sign(e(i));
else
fal6(i)=e(i)/(0.01^(1-1));
end
end
hold on
plot(e,fal1)
hold on
plot(e,fal2)
hold on
plot(e,fal3)
hold on
plot(e,fal4)
hold on
plot(e,fal5)
hold on
plot(e,fal6)

%固定α为0.25，改变δ%
close all
clc
e=-1:0.01:1;
fal1=zeros(size(e));
for i=1:length(e)
if abs(e(i))>0
fal1(i)=(abs(e(i))^0.25)*sign(e(i));
else
fal1(i)=e(i)/(0^(1-0.25));
end
end
fal2=zeros(size(e));
for i=