Modeling and Analysis of Wireless Cyberphysical Systems Using Stochastic Methods

Wireless mesh network control systems (WMNCSs) are typical Cyberphysical Systems (CPSs) widely used in industries that need to meet stringent performance requirements. These WMNCSs are characteristic of stochasticity at different levels as system behavior, network performance, and wireless signal propagation, which grievously increases the difficulties of system modeling and analysis. In this paper, we propose a three-layered modeling framework to capture the stochastic properties of WMNCSs at different levels with stochastic hybrid system (SHS), stochastic network calculus (SNC), and physical layer models. We also bridge the gaps between these methods with an upper bound approach. All the efforts give us a methodology of modeling and analysis WMNCSs with stochastic methods, so we can know how the factors as channel conditions, network topology, etc. affect the stability and performance of the system. To the best of our knowledge, it is the first work that provides such a unified and flexible framework to model and analyze WMNCSs with stochastic methods.