A Novel Method for Solving an Optimal Control Problem for a Numerically Stiff Independent Metering System

This paper describes a new approach for solving an optimal control problem for a numerically stiff system. The objective is to move a load from its initial states to its final states in an optimal way. This was achieved by means of Lagrange multipliers. The resulting Euler-Lagrange equations lead to a system of differential equations, which was solved using a mass matrix method and discretized interstitial derivatives to obtain a numerically stable solution. In addition, the performance of the method was compared with both LQR and PID controllers. As a result, it can be seen for the example that is given, that the proposed method has an improved energy efficiency. The new method always attains the desired boundary values exactly with high precision.