Protocol-based zonotopic state and fault estimation for communication-constrained industrial cyber-physical systems

This paper is concerned with the communication protocol-based zonotopic state and fault estimation issue for a class of discrete time-varying industrial cyber-physical systems under bounded disturbances and constrained communication resources. First, in order to alleviate resource consumption, a round-robin protocol is developed to schedule the data transmission between the local sensor and the remote estimator. Second, a zonotopic set-membership estimation algorithm is developed to guarantee that the unavailable system state and fault signals could be simultaneously estimated and enclosed in a zonotope at every instant of time. Subsequently, the size of such a zonotope is minimized at each iteration by appropriately selecting a correlation matrix. Furthermore, the rigorous stability and performance analysis for the developed zonotopic estimation algorithm is provided. Finally, two simulation examples are provided to verify the obtained theoretical results.

Automated summary

This paper addresses the issue of state and fault estimation for a class of discrete time-varying industrial cyber-physical systems with limited communication resources. It proposes a round-robin protocol to schedule data transmission and a zonotopic set-membership estimation algorithm to estimate and enclose system state and fault signals. The algorithm minimizes the size of the zonotope at each iteration and stability and performance analysis is provided. Simulation examples are provided to verify the theoretical results.