A matrix based approach to design of logic control functions for a production system

Contemporary production systems and machines contain extended technology, functionality and communication features. Consequently, the size of control and steering of such machines increases. To cover the advanced functionality and to design the control in shorter development cycle a systematic approach is necessary. This paper introduces a new, systematic approach to the modeling of the machine control logic. The machine control logic is considered as event-driven system. Modeling of the structure of discrete event-driven system is based on matrix representation of Petri nets. The discrete dynamics of such a system is described by transferring the system between its specific discrete states. This is denoted using combination of algebraic and logic equations. To show the application of proposed approach, simulation results for the cutting machine transport system are presented. Connecting introduced modeling approach with the continuous system theory, overall functionality of the system was described. This is important for the simulation, analysis and implementation of rare and expensive systems, where the target system does not allow the traditional try and fix implementation approach or the target system is not available for testing of the control logic