State Estimation of Networked Finite State Machine With Communication Delays and Losses
Jiahao Wu, Jie Zhong, Yang Liu, Weihua Gui · IEEE Transactions on Circuits & Systems II Express Briefs · 2021
In this brief, state estimation problem of networked finite state machine (FSM) under partial observation is investigated. Based on the semi-tensor product (STP) of matrices, several algebraic expressions are defined to describe the communication losses (CL) and communication delays (CD). With the unobservable reach and$\epsilon $-reach of state, one necessary and sufficient condition for detectability is obtained under CL. By constructing a state estimation set under CD, one criterion for detectability is established. Based on the composition of two mappings, one criterion for detectability under both CL and CD is obtained. Finally, a simple example is taken to illustrate the validity of the obtained theoretical results.