Modeling of combined discrete/continuous processes

TLDR

Processing systems exhibit both continuous dynamics and discrete events, necessitating combined discrete/continuous simulation and a declarative modeling environment that spans from continuous to batch operation. The article aims to resolve these challenges by proposing a unified modeling framework. It introduces a formal mathematical description that decomposes the modeling task into fundamental physical behavior and external action modeling. The framework delivers a robust representation of discontinuities in physical behavior and a general method for modeling complex control action sequences, underscoring the essential role of discrete components.

Abstract

Abstract The dynamic behavior of processing systems exhibits both continuous and significant discrete aspects. Process simulation is therefore a combined discrete/continuous simulation problem. In addition, there is a critical need for a declarative process modeling environment to encompass the entire range of processing system operation, from purely continuous to batch. These issues are addressed by this article. A new formal mathematical description of the combined discrete/continuous simulation problem is introduced to enhance the understanding of the fundamental discrete changes required to model processing systems. The modeling task is decomposed into two distinct activities: modeling fundamental physical behavior, and modeling the external actions imposed on this physical system. Both require significant discrete components. Important contributions include a powerful representation for discontinuities in physical behavior, and the first detailed consideration of how complex sequences of control actions may be modeled in a general manner.