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A new methodology — DMOC (Discrete Mechanics and Optimal Control) is presented to solve the classic Goddard rocket problem. This method firstly discretizes the Lagrange-d'Alembert principle for the rocket system, the resulting forced discrete Euler-Lagrange equations then serve as constraints for the optimization of a given cost functional. Therefore the optimal control problem is converted into a...
This paper presents a detailed procedure to apply newly-proposed DMOC (Discrete Mechanics and Optimal Control) methodology to solve optimal control problems. DMOC is based on a direct discretization of Lagrange-d'Alembert principle for a system. First, this tutorial explains the principle of DMOC, and how to formulate the problem in DMOC. Next the steps are shown about how to install and configure...
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