针对现实网络在数据传输中存在数据丢包和噪声干扰的特点,研究离散时间复
杂网络的鲁棒保性能状态估计问题,旨在减小数据丢包和噪声干扰对状态估计的影响. 利
用Lyapunov稳定性理论与随机分析方法,以线性矩阵不等式的形式提出了鲁棒保性能状态
估计增益矩阵存在的条件和设计准则,在满足状态估计误差均方指数收敛的前提下,能进一
步使网络的状态估计满足一定的性能指标. 仿真结果表明,鲁棒保性能状态估计器可以有效地
估计复杂网络的状态.
To deal with data dropouts and noise in data transmission, this paper studies
robust guaranteed cost state estimation of discrete-time complex networks, and focuses on
reducing influence of data dropouts and noises on state estimation. Using the Lyapunov
stability theory combined with stochastic analysis, an existence condition of the gain matrix
and the relevant design criteria used in the robust guaranteed cost state estimation are
proposed with linear matrix inequalities. With convergence of the estimation mean-square
error, the robust guaranteed cost performance requirements are satisfied. Numerical simulation
shows effectiveness and applicability of the proposed design approach.
[1] 汪小帆,李翔,陈关荣. 复杂网络理论及其应用[M]. 北京:清华大学出版社有限公司, 2006.
WANG Xiao Fan, LI Xiang , CHEN Guan Rong. Complex network theory and its application [M]. Tsinghua University Press Co, 2006.
[2] 陈关荣. 复杂网络及其新近研究进展简介[J]. 力学进展,2008, 38(6): 653-662.
CHEN Guan Rong. Introduction to complex networks and their recent advances [J]. Advances in Mechanics, 2008, 38(6): 653-662.
[3] FAN Chun Xia, JIANG Guo Ping. State estimation of complex dynamical network under noisy transmission channel [C]//IEEE International Symposium on Circuits and Systems (ISCAS), 2012: 2107-2110.
[4] LI Hong Jie, NING Zi jun, YIN Yun Hui, TANG Yang. Synchronization and state estimation for singular complex dynamical networks with time-varying delays[J]. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(1):194-208.
[5] LIU Yu Rong, WANG Zi Dong, LIANG Jin Ling, LIU Xiao Hui. Synchronization and state estimation for discrete-time complex networks with distributed delays [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2008, 38(5): 1314-1325.
[6] WANG Zi Dong, DANIEL W C Ho, LIU Xiao Hui. State estimation for delayed neural networks[J]. IEEE Transactions on Neural Networks, 2005, 16(1): 279-284.
[7] HUANG He, HUANG Ting Wen, CHEN Xiao Ping. A mode-dependent approach to state estimation of recurrent neural networks with Markovian jumping parameters and mixed delays[J]. Neural Networks, 2013, 46: 50-61.
[8] FAN Chun Xia, YANG Fu Wen, ZHOU Ying. State reconstruction in discrete-time complex network with missing measurements [C]//Chinese Control Conference (CCC), 2011: 843-849.
[9] FAN Chun Xia, YANG Fu Wen, ZHOU Ying. State estimation for coupled output discrete-time complex network with stochastic measurements and different inner coupling matrices[J]. International Journal of Control, Automation and Systems, 2012, 10(3): 498-505.
[10] LIANG Jin Ling, WANG Zi Dong, LIU Xiao Hui. State estimation for coupled uncertain stochastic networks with missing measurements and time-varying delays: the discrete-time case[J]. IEEE Transactions on Neural Networks, 2009, 20(5): 781-793.
[11] SHEN Bo, WANG Zi Dong, DING De Rui, SHU Hui Sheng. H∞ state estimation for complex networks with uncertain inner coupling and incomplete measurements[J]. IEEE Transactions on Neural networks and Learning systems, 2013, 24(12): 2047-2037.
[12] WANG Li Cheng, WEI Guo Liang, SHU Hui Sheng. State estimation for complex networks with randomly occurring coupling delays[J]. Neurocomputing, 2013, 122: 513-520.