Finite Horizon ℋ∞ State Estimation with Packet Losses over Half-Duplex Relay Networks : Handling Amplify-and-Forward Protocol

In this paper, the finite horizon ℋ
∞
state estimation problem is addressed for a class of time-varying nonlinear systems with packet losses over half-duplex (HD) relay communication network. To enhance the quality of long-distance signal transmission, an HD relay-aided strategy is adopted to forward the transmitted signals between sensors and remote state estimators, in which the forwarding protocol is amplify-and-forward (AaF) protocol. Three Bernoulli random variables are utilized to characterize the packet losses phenomenon in the communication process between sensors and remote estimators. A sufficient condition is firstly derived to ensure the existence of finite horizon state estimator meeting ℋ
∞
performance constraint. Then the desired gain parameters are calculated in terms of resolving a set of recursive linear matrix inequalities (RLMIs). Finally, a simulation example is given to demonstrate the efficacy of the proposed state estimation scheme.