量化误差下具有多丢包的信息物理系统H_(∞)滤波  

H_(∞) Filtering for Cyber Physical Systems with Random Multiple Packet Loss with Quantization Error

作　　者：张端金[1] 刘孟凯 杜峥 ZHANG Duanjin;LIU Mengkai;DU Zheng(School of Electrical and Information Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学电气与信息工程学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2023年第3期28-34,共7页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61471323)。

摘　　要：研究一类具有信息传输不完全的信息物理系统H_(∞)滤波问题,考虑的信息传输不完全现象主要包括通信设备缺陷引起的量化误差和网络固有因素造成的连续随机多数据包丢失。采用Delta算子离散化方法构建信息物理系统状态空间模型和H_(∞)滤波器模型,通过分析和建模将量化误差和丢包模型与滤波器模型结合得出滤波误差系统。利用Lyapunov稳定性理论和Schur补引理推导出保证系统渐近稳定和H_(∞)性能的2个定理。基于目标追踪系统进行滤波器的仿真验证,结果表明:当量化器的参数固定时,随着最大丢包数的增加,H_(∞)性能指标γ逐渐增大,即数据包丢失越严重对系统稳定性造成的影响越大,但所设计的滤波器仍满足稳定性条件。所提滤波方法是有效的。The H_(∞) filtering for cyber physical systems with incomplete information transmission was studied.This phenomenon mainly included quantization error caused by communication equipment defects and continuous random multiple packet loss caused by inherent network factors.The state space model of cyber physical systems and H_(∞) filter model were constructed by using Delta operator discretization method.Through analysis and modeling,the filter error system was obtained by combining quantization error and packet loss model with filter model.Then,by using Lyapunov stability theory and Schur complement lemma,two theorems guaranteeing asymptotic stability and H_(∞) performance were deduced.The filter was verified by simulation based on target tracking system.Assuming that the parameters of quantizer were fixed,with the increase of the maximum number of packet loss,the H_(∞) performance index γ increased gradually.Which indicate that the more serious the packet loss,the greater the impact on the stability of the system,but the designed filter still could meet the stability condition.Simulation results showed that the proposed filtering method was effective.

关 键 词：信息物理系统 量化误差 连续随机多丢包 H_(∞)滤波 DELTA算子 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]