大规模动态系统的分布式状态估计算法  

Distributed state estimation algorithm for large-scale dynamic systems

作　　者：孙一冰[1] 付敏跃[2,3] 王炳昌[1] 张焕水[1] SUN Yibing FU Minyue WANG Bingchang ZHANG Huanshui(School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China School of Electrical Engineering and Computer Science, University of Newcastle, NSW 2308, Australia School of Automation, Guangdong University of Technology, Guangzhou 510006, Guangdong, China)

机构地区：[1]山东大学控制科学与工程学院,山东济南250061 [2]纽卡斯尔大学电气工程与计算机科学学院 [3]广东工业大学自动化学院,广东广州510006

出　　处：《山东大学学报（工学版）》2016年第6期62-68,共7页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金资助项目(61120106011;61573221;61403233);国家科技支撑计划资助项目(2014BAF07B03)

摘　　要：主要研究离散时间大规模动态系统的分布式状态估计问题。首先,将系统划分为若干个子系统,基于区域内部量测信息和邻居传递的信息,各子系统利用该算法对本地状态进行估计,降低状态变量的维数、算法的计算复杂度和通信压力。该算法独立运行,并且平行运行该算法可以有效减少整体运行时间。通过减弱约束条件,利用数学归纳法证明由该算法得到的估计误差协方差和预测误差协方差矩阵正定。根据系统能观测性秩判据和不等式技巧,证明误差协方差矩阵有上界,并且上界是有界的,保证该算法在应用中的可行性。最后通过仿真研究,验证主要结论。The problem of distributed state estimation over discrete-time large-scale dynamic systems was studied. The system was divided into some subsystem, and based on the local measurement and the information received from its neighbors, each subsystem utilized the proposed algorithm to estimate its local state, which reduced the dimension of the state vector, and enjoyed low computational complexity and communication load. This algorithm was run independently and in parallel to effectively reduce the overall execution time. By weakening the constraint condition, the mathematical induction was used to prove that the state estimation and prediction error covariance matrices obtained from this algorithm were positive definite. The rank criterion of system observability together with the inequality technique were utilized to prove that error covariance matrices had upper bounds and the upper bounds were also existence and bounded, which supported the feasibility of this algorithm in applications. At last, simulations of an example were provided to demonstrate the main results.

关 键 词：状态估计 电力系统 动态系统 分布式估计 最大后验估计 

分 类 号：TM744[电气工程—电力系统及自动化]