College of Automation and Electrical Engineering, Qingdao University, No. 308, Ningxia Road, Qingdao, Shandong, 266071, China.
ISA Trans. 2018 Mar;74:67-76. doi: 10.1016/j.isatra.2018.01.007. Epub 2018 Feb 3.
A decentralized state estimator is derived for the spatially interconnected systems composed of many subsystems with arbitrary connection relations. An optimization problem on the basis of linear matrix inequality (LMI) is constructed for the computations of improved subsystem parameter matrices. Several computationally effective approaches are derived which efficiently utilize the block-diagonal characteristic of system parameter matrices and the sparseness of subsystem connection matrix. Moreover, this decentralized state estimator is proved to converge to a stable system and obtain a bounded covariance matrix of estimation errors under certain conditions. Numerical simulations show that the obtained decentralized state estimator is attractive in the synthesis of a large-scale networked system.
针对具有任意连接关系的多个子系统组成的空间互联系统，推导出一种分散状态估计器。基于线性矩阵不等式（LMI）构建了一个优化问题，用于计算改进的子系统参数矩阵。推导出了几种计算有效的方法，这些方法有效地利用了系统参数矩阵的块对角特性和子系统连接矩阵的稀疏性。此外，证明了该分散状态估计器在一定条件下收敛到稳定系统，并获得估计误差的有界协方差矩阵。数值模拟表明，所得到的分散状态估计器在大规模网络系统的综合中具有吸引力。
