SimMechanics pendulum used for control optimization

Pendulum imported via SimMechanics generates dynamics for optimal dampening solved by DIDO.

Suspended and inverted pendulums were built in AutoDesk Inventor. SimMechanics is used to generate a Simulink model. This model generates the dynamics implicitly, so there is no need to solve the equations of motion by hand. The dynamics are used by control optimization software: DIDO, available commercially. Sample results are included along with analysis which compares it against a linearly-optimal state transformation and the linear-quadratic-regulator. In addition, optimality conditions are verified based on the explicit equations of motion.