Multi functions multi variables optimization
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Hello, I am looking for a better optimization method or algorithm.
Here, I have some variables and some functions.
For example,
I have 5 variables: a, b, c, d, e.
And 4 functions(maybe not 4): 0<F(a,b,c,d,e)<=0.01, 0<G(a,b,c,d,e)<=0.01, 0.9<=H(a,b,c,d,e)<=0.95, I(a,b,c,d,e)=sqrt(1-H(a,b,c,d,e)^2).
BTW, the functions are nonlinear functions, it is complicate and contains cos(),sin().etc.
The variables have constraints:
1<a<2; 2<b<3; 3<c<4; 4<d<5; 5<e<6;
I would like to find the solution under these variable constraints.
I used fsolve before, But I think they are not suitable in this situation.
I am not familiar with optimization algorithm, could any one help me give me some suggestions to address this problem?
I am appreciate if you give me an example to solve those equations. Thank you very much!
采纳的回答
Use fmincon.
Define the constraints
1<a<2; 2<b<3; 3<c<4; 4<d<5; 5<e<6
in lb and ub,
define the constraints
0<F(a,b,c,d,e)<=0.01, 0<G(a,b,c,d,e)<=0.01, 0.9<=H(a,b,c,d,e)<=0.95, I(a,b,c,d,e)=sqrt(1-H(a,b,c,d,e)^2)
in the function nonlcon for nonlinear constraints in the array c.
Then simply define the objective function as "0" since you don't want to minimize anything, but you only want to find a feasible point a,b,c,d,e for your problem.
1 个评论
Alan Weiss
2023-2-16
Torsten is, as usual, spot on. I just want to add that this topic is addressed in the documentation:
and
Alan Weiss
MATLAB mathematical toolbox documentation
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