Created
July 30, 2018 15:39
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using OrdinaryDiffEq | |
using DiffEqCallbacks | |
lc1 = -0.5 | |
l1 = -1. | |
m1 = 1. | |
I1 = 0.333 | |
lc2 = -1. | |
l2 = -2. | |
m2 = 1. | |
I2 = 1.33 | |
g = -9.81 | |
tau = zeros(2) | |
docontrol = Ref(false) | |
controltimes = Float64[] | |
function dynamics(u, p, t) | |
@show t | |
if docontrol[] | |
println("control") | |
tau[1] = sin(t) | |
tau[2] = cos(t) | |
push!(controltimes, t) | |
docontrol[] = false | |
end | |
# double pendulum | |
q = u[1 : 2] | |
v = u[3 : 4] | |
c1 = cos(q[1]) | |
c2 = cos(q[2]) | |
s1 = sin(q[1]) | |
s2 = sin(q[2]) | |
s12 = sin(q[1] + q[2]) | |
M11 = I1 + I2 + m2 * l1^2 + 2 * m2 * l1 * lc2 * c2 | |
M12 = I2 + m2 * l1 * lc2 * c2 | |
M22 = I2 | |
M = [M11 M12; M12 M22] | |
C11 = -2 * m2 * l1 * lc2 * s2 * v[2] | |
C12 = -m2 * l1 * lc2 * s2 * v[2] | |
C21 = m2 * l1 * lc2 * s2 * v[1] | |
C22 = 0 | |
C = [C11 C12; C21 C22] | |
G = [m1 * g * lc1 * s1 + m2 * g * (l1 * s1 + lc2 * s12); m2 * g * lc2 * s12] | |
vd = M \ (tau - C * v - G) | |
[v; vd] | |
end | |
f = function (integrator) | |
docontrol[] = true | |
u_modified!(integrator, false) | |
end | |
initialize = (c, u, t, integrator) -> (empty!(controltimes); docontrol[] = true) | |
Δt = 0.25 | |
periodic = PeriodicCallback(f, Δt; initialize = initialize, save_positions = (false, false)) | |
u0 = zeros(4) | |
final_time = 25.3 | |
problem = ODEProblem(dynamics, u0, (0., final_time), callback = periodic) | |
solve(problem, Tsit5(), abs_tol = 1e-10, dt = 0.05); | |
@assert controltimes == collect(0. : Δt : final_time - rem(final_time, Δt)) |
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