ABSTRACT

This chapter provides a detailed conceptual description of the optimization problems for induction heating processes (IHPs) prior to metal hot working operations. The optimization problems are discussed from the standpoint of the modern theory of optimal control with respect to systems with distributed parameters. An induction heating process can be considered an example of a system under control. The typical cost functions and mathematical models are provided in this chapter. Some explanations will be given to facilitate understanding such terms as controlled outputs and control inputs, disturbances, constraints, etc.