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27-Oct-2026 20:06:26

pendulum_control_ode_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Test pendulum_control_ode().

energy_test():
  Test energy(), which reports the energy required
  to move the pendulum from angle 0 to angle b.
  Graphics saved as "energy.png"

pendulum_parameters_test():
  Test pendulum_parameters(), which stores, updates,
  and retrieves parameter values for the pendulum
  control ODE.

  Current internal parameter values:
  bc = 0.7
  c = 0.5
  forceangle = 1.0472
  forcedflag = 2
  g = 9.81
  l = 1
  linearflag = 0
  m = 1
  mypenalty = 0.89168
  t0 = 1
  theta10 = 1.0472
  tstop = 25
  y0 = [ 0.628319; 1.0472 ]

  Updated internal parameter values:
  bc = 0.5
  c = 0.25
  forceangle = 2.35619
  forcedflag = 1
  g = 4.9
  l = 1.5
  linearflag = 1
  m = 2.5
  mypenalty = 100
  t0 = 1
  theta10 = 1.0472
  tstop = 25
  y0 = [ 0.628319; 1.0472 ]

pendulum_plots:
  Plot various versions of pendulum problem
  with no applied driving force.
  Graphics saved as "pendulum_plots.png"

pendulum_plots_driven():
  Solve driven pendulum with various forced angles
  Graphics saved as "pendulum_plots_driven.png"

pendulum_shooting():
  Use shooting to solve a pendulum boundary value problem.
  Graphics saved as "pendulum_shooting.png"

pendulum_finite_difference():
  Use finite differences to solve a pendulum boundary value problem.
  Graphics saved as "pendulum_finite_difference.png"

pendulum_control():
  Control the pendulum to achieve a desired deflection.

bc =

   -1.7859

  Graphics saved as "pendulum_control.png"
mypenalty = 0.000000.  If nonzero, optimization 
did not find a feasible point.
Damped Driven Pendulum with Optimal Control Parameter
bc = -1.785899/sec; upper bound = 0.500000
Total energy consumed = 43.140234 Joules

pendulum_control_ode_test():
  Normal end of execution.

27-Oct-2026 20:06:38