Further Results on the R–R Protocol Based H∞ Estimator for 2-D Fmii Systems with R–O Uncertainties

This paper presents an enhanced study on the design of an H∞ observer based on the Round-Robin protocol for 2-D FMII systems subjected to Randomly-Occurring uncertainties. The Randomly-Occurring uncertainties, characterized by their stochastic nature and random occurrence, pose significant challenges to the stability and performance of control systems. Moreover, the Round-Robin protocol, known for its efficiency in managing resources and reducing data conflicts in communication systems, is used as the framework for developing this estimator. The main contributions of this research include a precise modeling of Randomly-Occurring uncertainties and their integration into the 2-D FMII system model. A robust H∞ estimator is designed ensuring optimal performance despite the presence of stochastic uncertainties, and the application of the Round-Robin protocol to synchronize estimation and control processes, thereby enhancing system resilience. On the basis of the Projection Lemma, less conservative results in terms of Linear Matrix Inequalities are provided. The theoretical results are validated and compared through numerical simulations from the literature, demonstrating the effectiveness and robustness of the proposed approach. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.