Dynamic system using ode45
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Michelle Westin
le 20 Avr 2020
Commenté : Michelle Westin
le 21 Avr 2020
Hi,
I need to solve the following function:
function X2d = dynamics(h,theta,beta,hd,thetad,betad,Mt,Ct,Kt,hdd,thetadd,betadd)
X = [h;theta;beta;hd;thetad;betad;hdd;thetadd;betadd];
h = X(1);
theta = X(2);
beta = X(3);
hd = X(4);
thetad = X(5);
betad = X(6);
hdd = X(7);
thetadd = X(8);
betadd = X(9);
X1 = [X(1);X(2);X(3)];
X2 = [X(4);X(5);X(6)];
X2d = [X(7);X(8);X(9)];
X2d = inv(Mt)*(-Ct*X2-Kt*X1);
end
Where d are dot, so it is a system of differential equations.
How can I solve this? May I use ode45?
Thanks
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Muthu
le 20 Avr 2020
Modifié(e) : Muthu
le 20 Avr 2020
You first need to convert this function into a form, which can be passed in ode45
To solve using ode45, you need to have three important inputs -> @equation, timerange, initial condition, options
hence your equation should begin like:
function X2d = dynamics(t, Y, options):
Y contains all the initial conditions of the variables.
options contain the arguements that you might need to pass in.
define the constants inside the function.
Then proceed with your code.
Good luck.
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