Finite-Horizon $\mathcal{H}_{\infty}$ state Estimation for Complex Networks with Random Access Protocol and Uniform Quantization Effects

This paper is concerned with the finite-horizon $\mathcal{H}_{\infty}$ state estimation problem for time-varying complex networks subject to the Random Access Protocol (RAP) scheduling and uniform quantization effects. The communication between network nodes and the state estimator is implemented via a shared network, where the RAP is utilized to regulate the signal transmission over the communication network. The aim of the addressed problem is to design an estimator such that the $\mathcal{H}_{\infty}$ disturbance attenuation level is guaranteed for the estimation error dynamics over a given finite horizon. By employing the stochastic analysis approach and completing squares method, the desired estimator gains are characterized by solving two coupled backward recursive Riccati Difference Equations (RDEs). Finally, a numerical example is given to illustrate the effectiveness of the results.