Help me understand using ode45
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I have a system
x1' = x2
x2' = (1/ml^2)(mglsinx1-bx2)
With x1=theta and x2 = theta' where theta is the angular position of the pendulum. With g = 9.8m/s^2, l = 1.0m, m = 1.0kg, and b = 0.5 N times m times s. With the time interval [0, 20] and the initial condition x1(0) = 30 deg and x2(0) = 0.
How to use MATLAB Function ode45 to compute this numerical solutions of dynamical systems in state space? And how to plot the numerical solution?
4 commentaires
Walter Roberson
le 12 Sep 2018
Is (1/ml^2)(mglsinx1-bx2) intended to be (1/(m*l^2))*(m*g*l*sin(x1)-b*x2) ?
Jonathan Diaz
le 12 Sep 2018
David Goodmanson
le 12 Sep 2018
which means that the code should look like the expression that Walter wrote down.
Walter Roberson
le 12 Sep 2018
Ambiguous. Perhaps it is
(1/(m*l^2))*(m*g*l*sin(x1-b*x2))
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