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

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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.

Answers (2)

Alan Weiss
Alan Weiss on 16 Apr 2015
If you have Optimization Toolbox, this looks like a job for fmincon.
Alan Weiss
MATLAB mathematical toolbox documentation

Nicholas Ayres
Nicholas Ayres on 27 Oct 2020
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.

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