Finite-Horizon Fault Estimation with Round-Robin Protocols and Uniform Quantization Effects

Abstract

In this paper, the finite-horizon $H_{\infty }$fault estimation problem is investigated for a class of discrete time-varying systems with randomly occurring faults. To prevent data from collisions and alleviate the communications burden, the Round-Robin protocol is adopted to schedule the data transmissions between sensor nodes and the estimator. Furthermore, the errors of the uniform quantization are described as an additive white uniform distributed noise. Our aim of the presented issue is to estimate the fault such that the $H_{\infty }$index is satisfied over a given finite horizon. Sufficient conditions are established for the time-varying estimator according to the methods of completing squares and stochastic analysis. The desired estimator parameters are obtained by dealing with two backward recursive Riccati difference equations. Finally, the effectiveness of our proposed fault estimation method is demonstrated via a simulation example.