Discrete Mechanics and Optimal Control with Smoothing Term
As a recently developed discrete optimal control model for mechanical system, discrete mechanics and optimal control (DMOC) suffers fluctuation of control forces when discrete step is large , which is unfavorable for stable output of control forces. With smoothing term added to DMOC model, stability of control forces can be acquired. Numerical simulation results of the satellite orbit transferring show that the introduction of smoothing term can keep control forces change smoothly while minimizing the total control forces.