协议影响下几类网络化时变系统的递推滤波问题研究

This research project aims to investigate the recursive filtering problems for networked time-varying systems subject to various communication protocols. First, the scheduling behaviors of different protocols are fully investigated and, based on which, several general research frameworks are established dealing with the analysis and synthesis issues for networked systems with different scheduling protocols and network-induced phenomena. Special attention will be focused on the design problems of different recursive filters for networked time-varying systems with protocol scheduling. By employing the techniques of Riccati difference equations, completing-the-square method, stochastic analysis approach, the existence conditions of the recursive filtering with the specified performance requirements will be given and the filtering algorithms will be developed. Then, we draw out the influence of protocol scheduling behaviors on the filtering performance such as the stability and robustness. In addition, efforts will be devoted to the extension of the derived results to the consensus-based distributed filtering problems for sensor networks. The developed theoretical results will greatly enrich the modeling, analysis and design issues for networked systems, and complete the theory framework on recursive filtering subject to protocol scheduling. The obtained results have high theoretical values and wide application prospects.

本项目拟研究几类通信协议影响下的网络化时变系统递推滤波问题。首先，本项目将充分研究不同通信协议下的信号调度规则，并根据对应的调度特性建立分析和处理在通信协议和网络诱导现象共同作用下的网络化时变系统研究框架。项目将致力于不同通信协议影响下的网络化时变系统递推滤波器的设计问题。利用Riccati差分方程、完全平方和随机分析等方法，给出不同性能要求下递推滤波器的存在条件及对应的滤波算法。在此基础上分析通信协议对滤波性能（如稳定性、鲁棒性）造成的影响。此外，本项目拟将得到的主要结果扩展到针对传感器网络的一致性分布式滤波问题中。项目的研究成果将丰富网络化系统的建模、分析和设计理论，力图从理论与技术层面上完善基于通信协议的递推滤波理论体系。其研究结果具有较高的理论价值和广泛的应用前景。

现代化工控系统的通信技术大多基于网络化通信，网络化通信带来了极大便利和优越性的同时，也带来了一些新的特殊现象，通信协议就是其中最具代表性的现象之一。本项目依次为背景，深入探讨了几类通信协议影响下的网络化时变系统递推滤波问题。首先，本项目充分研究了不同通信协议下的信号调度规则，并根据对应的调度特性建立分析和处理在通信协议和网络诱导现象共同作用下的网络化时变系统研究框架。其次，本项目致力于不同通信协议影响下的网络化时变系统递推滤波器的设计问题。利用Riccati差分方程、完全平方和随机分析等方法，给出不同性能要求下递推滤波器的存在条件及对应的滤波算法。在此基础上分析通信协议对滤波性能（如稳定性、鲁棒性）造成的影响。此外，本项目还考虑了理论成果在实际系统中的应用。在本项目的资助下，共发表高水平SCI学术论文26 篇。项目的成果从理论与技术层面上完善网络化系统滤波的理论体系，研究成果具有较高的理论价值和广泛的应用前景。