Mathematical analysis of stage-based programmable logic controller

The modern stage suspended boom system is automatically controlled by PLC (programmable logic controller), and represents a typical hybrid behavior. It is an important family of stage control machinery systems. This paper presents a formal approach to modeling the system behaviors of different scenes. The system is formally characterized and specified in a timed model. System properties are proved in the proof system of the extended duration calculus. The case study illustrates the feasibility of the proposed verification framework.