Abstract
The wide application of Cyber Physical System (CPS) makes the security of CPS more and more concerned. As the key factors affecting the safety of CPS, space and time have also become the current research hotspot. The space and time safety of CPS requires that CPS arrives at the specified place at the specified time, time and space should meet the safety requirements of the CPS in the current CPS environment. We call the behavior space-time compositions. In order to solve the problem that CPS lacks the method of modeling and verification of space-time compositions, a hybrid Architecture Analysis & Design Language (AADL) modeling and model transformation method for CPS space-time compositions verification is proposed. Firstly, space-time description capability is extended in the AADL behavior annex and Hybrid AADL (HAADL) is proposed. Secondly, differential equations and space-time compositions vector are introduced in Process Algebra to propose Hybrid Space-Time Communication Sequential Processes (HS-TCSP). Furthermore, the Hybrid AADL is transformed to HS-TCSP. Finally, an example of an aircraft collision avoidance system is used to verify the effectiveness of the method.
Highlights
In recent years, with the rapid development of 5G technology, computer and network technology, the application of Cyber Physical System (CPS) has covered all aspects of our production and life
Transformation rules from Hybrid AADL (HAADL) to HS-Timed Communicating Sequential Process (TCSP) (1) The variables in the behavior annex are mapped to the discrete variable set DV in HS-TCSP; (2) The states in the behavior annex are mapped to the process variable set PV in HS-TCSP; (3) The time variable set “times” in the behavior annex are mapped to the time variable set TV in HS-TCSP; (4) The position variables in the behavior annex are mapped to the position variable set CV in HS-TCSP; (5) The state transition in the behavior annex is expressed as trans_sequence = SourceState[] {DesS1[{}], DesS2[{} ..., error]} guard has two forms: periodic execution on dispatch and conditional execution
Case of aircraft collision avoidance an Aircraft Collision Avoidance System (ACAS) will be modeled using HAADL, and the model is transformed from HAADL to HS-TCSP to analyze its space-time consistency satisfiability
Summary
With the rapid development of 5G technology, computer and network technology, the application of CPS has covered all aspects of our production and life. HPCCS was proposed on Calculus of Communication System(CCS) and AADL behavior annex was extended to describe random actions in reference [17] Most of these traditional CPS modeling and verification methods were limited to timedomain analysis and fail to consider the influence of unified changes in space and time on CPS, causing some spacetime security problems in CPS. A framework of space-time event model based on physical state was proposed in reference [19] which reflected the space-time features of CPS and the dynamic changes of environment It did not take into account the security of space-time consistency. In order to more concisely describe the processing sequence of unresponsive events in CPS, trans_sequence is proposed in the behavior annex of AADL execution model. Fin_Con is true, P is terminated and the state in Q is executed(formula 4)
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