Abstract
Developing the formal model based on the Event-B design pattern is an excellent method to improve the development efficiency of the embedded control system and improve the reusability of the formal model. However, the instantiation of the Event-B design pattern requires the manual writing of a large number of model codes, which brings a great deal of learning cost and coding burden to the engineering staff. In this paper, we propose a modelling approach for formal development of control systems based on the application of iUML-B state machine patterns to model the four synchronization patterns of the typical control system. Then, we use the instantiation of iUML-B pattern state machine to establish a typical multilevel control system's Event-B model. The simulation results show that the event trace of the model obtained using our method is the same as that of the corresponding model obtained using the traditional Event-B design pattern. Compared with the traditional Event-B design pattern method, our method can greatly reduce the manual coding burden in the modelling process. The system model expressed using the iUML-B pattern state machine can be easily mapped to the labelled transition system so as to verify the behavioural properties of the model.
Highlights
The embedded control system has been widely used in aviation, aerospace, Internet of things, and cyber-physical system
Event-B [3] is a formal modelling language based on set theory and first order logic which is supported by a modern tool and built-in provers
Using iUML-B state machines to model the synchronization control flow patterns has three benefits: (1) iUML-B is as easy as UML to learn and can reduce the manual coding costs; (2) iUML-B state machine can express the control flow explicitly; (3) iUML-B state machine can be converted to labelled transition system (LTS)
Summary
The embedded control system has been widely used in aviation, aerospace, Internet of things, and cyber-physical system. According to our experience, one has to add a lot of guards and actions manually if he (she) wants to model the synchronization control flow of control-intensive system using Event-B. It is a heavy work for the modeller. The main contribution of this paper is to show how to use iUML-B pattern state machine to model the synchronization patterns of the control-intensive embedded system and apply it to the Event-B model of the embedded control system.
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