how can i code in matlab to find the optimal parameter of function

There is a function Q(t)= a1*A(t)+ a2*B(t)+ a3*A(t)^2*B(t)+ a4*A(t)*B(t) ^2+a5* B(t) ^3+ a6 A(t) ^3+ a7*A(t) ^2*C(t) Where P(t), A(t), B(t) and C(t) are known for any point of time or a sample of time. Then I want to obtain the value of a1, a2, a3,a4,a5,a6,a7 with constrained a1>0, a2<0, a3>0,a4>0, a6>0, a5 and a7 unbounded So that P(t)-Q(t) become minimum or negligible at any point of time.

Answer 1

[Alan Weiss]

If you have Optimization Toolbox, this looks like a job for fmincon.

Alan Weiss

MATLAB mathematical toolbox documentation

Answer 2

[Nicholas Ayres]

For anybody stumbling across this, there is the "fminsearch" function, which could be used to do this.

This function is within the default MatLab package.

https://uk.mathworks.com/help/matlab/ref/fminsearch.html