Economical Manufacturing from Optimal Control Perspective: Simplification, Methods and Analysis

This paper presents a preliminary study of economical manufacturing from optimal control perspective. We begin with modeling two manufacturing systems as linear and nonlinear constrained continues-time dynamics, respectively. Economical manufacturing, characterized by minimal economical cost, is formulated as optimal control problems with variations on the cost function and system dynamics. The optimal control problems are interesting and challenging to solve due to constraints, nonlinearity, battery components, and consideration of energy price profiles. Rigorous analysis establishes the characteristics of optimal solutions and/or properties of optimal control problems. Methods and techniques to solve these optimal control problems are discussed for further investigation.