Optimisation using fmincon (constraints)

Hi,

I have a function I would like to optimize it but this function has multi varabiles (T & c2 )

The objectives is to identify the minimum V

I did the following

q = 30;          
c1i = 5;           
x0 = 0;    
lb = 300;     
 
[T,V] = fmincon(V,x0,A,b,Aeq,beq,lb,ub);

how can I insert the (c1o) constraint & work out the c2

Answer 1

[Ameer Hamza]

You can solve for multiple variables, but all of them need to be elements of x. See how in the following example. the objective function V is changed

q = 30;          
c1i = 5;           
c1o = 1;  % HERE IS MY PROBLEM      
c2 = 4;   % HERE IS MY PROBLEM            
A = [];
b = [];
Aeq = [];
beq = [];
x0 = [1 500 1];
lb = [-inf -inf -inf];     
ub = [1.143 inf inf];   
k1 = @(x) 7.0*(10^15)*exp(-15075/x);
k2=  @(x) 2.86*(10^4)*exp(-5025/x);
V =  @(x) q*(c1i-x(1))./(x(1)*k1(x(2))-x(3)*k2(x(2))); % c1o => x(1), T => x(2), c2 => x(3)
[T,V] = fmincon(V,x0,A,b,Aeq,beq,lb,ub);

[R Hebi]

Thinks

What if I want to add a linear equlaity constraint, such as

x(2)+x(3)=5

Is it like this ?

A = [0 1 1];
b = [5]

[Ameer Hamza]

R Hebi, yes, that's correct.