optimization using symbolic toolbox

Question

eden meirovich 2021-1-8

回答： Alan Weiss 2021-1-10

hello

I'm trying to use an optimization toolbox with syms variables.

I want to max j (for a given time),or max the expression j =trace(M)-t, for eta and delta.

i have 3 constrains

-60<T>60

-200<omega<200

-5<dT/dt<5

could some one guide me? cant make it work!

thanks

my code looks like that:

syms eta delta t
T = eta*t;
omega = delta*t;
H = [omega 1 T];
HH = transpose(H)*H ;
M  = int(HH);
j  = trace(M);

Answer 1

Alan Weiss 2021-1-10

Your code returns

j =
 
(delta^2*t^3)/3 + (eta^2*t^3)/3 + t

With this information, the symbolic portion of your problem is done. Now use standard MATLAB functions.

Create a function of x = [delta eta] that you want to maximize, and create appropriate constraints. For details, see Solve a Constrained Nonlinear Problem, Solver-Based, Writing Scalar Objective Functions, Maximizing an Objective, and Write Constraints.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation