Finite-Time Bounded State Estimation for Time-Varying Systems Over FlexRay Networks With Probabilistic Bit Flips

This paper investigates the finite-time bounded state estimation problem for time-varying systems with energy-bounded noise over communication networks. Signal transmissions over networks are subject to encoding-decoding mechanisms and probabilistic bit flips. Furthermore, the FlexRay protocol (FRP) is utilized to schedule signal transmissions, mitigating communication delays and enhancing data exchange flexibility. The objective of this article is to develop a time-varying state estimator, accounting for FRP, encoding-decoding processes, and bit errors, to ensure the desired finite-time boundedness performance. Certain time-dependent sufficient conditions are established to guarantee the required estimation performance. The desired time-varying estimator parameter is subsequently calculated by solving a recursive matrix inequality. Finally, illustrative numerical examples is presented to validate the proposed state estimation algorithm.