Question

急！！！matlab 如何完成非线性约束优化

小弟想用matlab求下面的最小值：
目标函数：f=0.5*[1.067*10^7-1169*x(1)+8.82*x(1)^2-0.003*x(1)^3+4.53*10^-7*x(1)^4]+8.89/[-9506-0.0083*x(1)^2/x(2)^2-0.00023(-3641.48+x(1))*(395.84+x(1))*x(2)];
约束条件：x（1）+x（2)<2505.7;
-x（1)-x(2)<-1203.9
也就是 1200<x（1)<2500;
3.9<x（2)<5.571；
哪位高人能帮小弟一下！小弟不胜感激！在线等！！！急用！

Answer 1

编写M文件fun.m
function f=fun(x)
f=0.5*(1.067*10^7-1169*x(1)+8.82*x(1)^2-0.003*x(1)^3+4.53*10^7-x(1)^4)+8.89/(-9506-0.0083*x(1)^2/x(2)^2-0.00023*(-3641.48+x(1))*(395.84+x(1))*x(2));
命令窗口输入
>> [x,fval]=fmincon('fun',rand(2,1),[],[],[],[],[1200;3.9],[2500;5.571])
Warning: Large-scale (trust region) method does not currently solve this type of problem,
switching to medium-scale (line search).
> In fmincon at 260
Optimization terminated: first-order optimality measure less
than options.TolFun and maximum constraint violation is less
than options.TolCon.
Active inequalities (to within options.TolCon = 1e-006):
lower upper ineqlin ineqnonlin
1

x =

1.0e+003 *

2.5000
0.0039

fval =

-1.9531e+013
你的目标函数我做了改动，你看看一致不