具有介质访问约束的网络化控制系统H∞状态估计  

H∞State Estimation for Networked Systems with Medium Access Constraints

作　　者：祝超群[1,2,3] 张磐 王志文[1,2,3] ZHU Chaoqun;ZHANG Pan;WANG Zhiwen(College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China;Key Laboratory of Gansu Advanced Control for Industrial Processes,Lanzhou University of Technology,Lanzhou 730050,China;National Demonstration Center for Experimental Electrical and Control Engineering Education,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学电气工程与信息工程学院,甘肃兰州730050 [2]兰州理工大学甘肃省工业过程先进控制重点实验室,甘肃兰州730050 [3]兰州理工大学电气与控制工程国家级实验教学示范中心,甘肃兰州730050

出　　处：《控制工程》2024年第2期212-221,共10页Control Engineering of China

基　　金：国家自然科学基金资助项目(62363024,62263019);甘肃省科技重大专项项目(21ZD4GA028);甘肃省高等学校产业支撑引导项目(2019C-05);甘肃省工业过程先进控制重点实验室开放基金项目(2019KFJJ03)。

摘　　要：研究了一类存在介质访问约束和信号量化的网络化控制系统的H∞状态估计问题。首先,考虑到介质访问约束和信号量化的影响,将信号量化误差转化为扇形有界的不确定性,对由于访问约束而未获得网络传输的系统输出采用加权补偿策略,根据网络介质的随机访问机制将网络化系统建模为具有不确定性的马尔可夫跳跃系统。然后,在此基础上借助李雅普诺夫稳定性理论和H∞性能约束条件,利用线性矩阵不等式(linear matrix inequality,LMI)方法给出状态估计器存在的充分条件,所设计的状态估计器使得估计误差系统渐近稳定且具有给定的H∞性能。最后,通过仿真实例验证了该设计方法的有效性。The problem of H∞state estimation is investigated for a class of networked control systems subject to signal quantization and medium access constraints.Firstly,considering the influence of signal quantization and access constraints,the quantization error is converted to the sector-bounded uncertainty,and the weighted compensation strategy is utilized for the system outputs which are not transmitted due to access constraints.According to the random access mechanism of network medium,the networked systems is modelled as a Markov jump system with the uncertainty.Then,based on the Lyapunov stability theory and the H∞performance constraints condition,the sufficient conditions for the existence of state estimators are presented,which guarantees that the estimation error is asymptotic stability and have a prescribed H∞disturbance attenuation level via linear matrix inequality(LMI).An illustrative example is provided to demonstrate the effectiveness of the proposed design approach.

关 键 词：网络化控制系统 介质访问约束 信号量化 H∞状态估计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]