multi-objective optimisation using GA
5 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
Hello everyone,
I've been trying to find the minimum point that minimise a cost function using multi-objective ga method
I have attached a pdf file that has the question.
The optimal solution should be + value located between Vhigh and Vmax and the other -value is located between Vmin and Vlow.
Here's my attempt;
function z = costfunction(x)
vx1=x(1);
vx2=x(2);
A = [4/3 -4];
Vmax = 5; % Maximum temperature
Vhigh = 4; % High temperature
Vlow = 0; % Low temperature
Vmin = -1; % Minimum temperature
V0=0; % Room initial temperature
PiD = 30 ; % Discrete cost
PiC = 10 ; % Continuous cost
PiP = 50; % Penalty cost
rng default % For reproducibility
if ((vx1 >= Vmin) & (vx1 < Vlow))|((vx2 >= Vmin) & (vx2 < Vlow))
vx1=x(1);
TotalTime1 = abs(vx1)*((1)/A(1));
pvx1 = @(vx1) -vx1;
cost1 = (PiD + (PiC*(abs(vx1)/A(1)))+(PiP*(abs(integral(pvx1,0,1,...
'ArrayValued',true)))))/TotalTime1;
TotalTime2 = TotalTime1+(vx2/A(2));
pvx2 = @(vx2) -vx2;
cost2 = (PiP*abs(integral(pvx2,0,1,...
'ArrayValued',true)))/TotalTime2;
elseif (vtx > Vhigh) & (vtx <= Vmax)|(vx2 > Vhigh) & (vx2 <= Vmax)
TotalTime1 = abs(vx1*((1)/A(1)));
pvx1 = @(vx1) vx1-Vhigh;
cost1 = (PiD + (PiC*(abs(vx1)/A(1)))+(PiP*(abs(integral(pvx1,0,1,...
'ArrayValued',true)))))/TotalTime1;
TotalTime2 = TotalTime1+(vx2/A(2));
pvx2 = @(vx2) vx2-Vhigh;
cost2 = (PiP*abs(integral(pvx2,0,1,...
'ArrayValued',true)))/TotalTime2;
elseif (vx1 ==V0)|(vx2 == V0)
cost1 = 0;
cost2 = 0;
else
TotalTime1 = abs(vx1)*((1)/A(1));
cost1 = (PiD + PiC*(vx1/A(1)))/TotalTime1;
cost2 = 0;
end
z=[cost1 cost2]
vt=[vx1 vx2]
end
0 commentaires
Réponses (0)
Voir également
Catégories
En savoir plus sur PID Controller Tuning dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!