The problem of the design of state observer was considered for network control system based on the linear quantization. Two cases were considered, which were the quantized measurement and the dataloss occurring when the quantized signal was transmitted in the unreliable channel. The observer with the minimal error variance was designed based on the Bernoulli model aimed at the quantization error and the dataloss. The observer can not only guarantee the boundedinput and boundedoutput stability for the closedloop system, but also the optical gain matrix. Numerical results illustrated that the approach was effective and feasible. The relationship between the quantized density, the dataloss probability and the gain matrix was shown, and the network control system became more stable and realizable.
［1］ WANG Z D, YANG F W. Robust H∞control for networked systems with random packet losses ［J］. IEEE Transactions on Systems, Man, Cybernetics, 2007, 37(4): 916924.
［2］ FU M Y. Quantization for feedback control and estimation ［J］. Proceedings of 27th Chinese Control Conference. Kunming, China: IEEE, 2008: 751756.
［3］ FU M Y, DE SOUZA C E. State estimation using quantized measurements ［J］. The International Federation of Automatic Control, 2008, 17(1): 1249212497.
［4］ ZHENG J C, FU M Y. A reset state estimator for linear systems to suppress sensor quantization effects ［J］. The International Federation of Automatic Control, 2008, 17(1): 92549259.
［5］ LU R Q, XU Y, XUE A K. Hinfinity filtering for singular systems with communication delays ［J］. Signal Processing, 2009, 90(12): 12401248.
［6］ FU M Y. The sector bound approach quantized feedback control ［J］. IEEE Transactions on Automatic Control, 2005, 50(11): 16981711.
［7］ MILLER R K, MICHEL A N, FARREL J A. Quantizer effects on steady state error specifications of digital control systems ［J］. IEEE Transactions on Automatic Control, 1989, 34(6): 651654.
［8］ ELIA N, MITTER S K. Stabilization of linear systems with limited information ［J］. IEEE Transactions on Automatic Control, 2001, 46(9): 13841400.
［9］ LU R Q, SU H, CHU J, et al. Reducedorder Hinfinity filtering for discretetime singular systems with lossy measurements ［J］. IET Control Theory and Applications, 2010, 4(1): 151164.
［10］ PARK P. A delaydependent stability criterion for systems with uncertain timeinvariant delays ［J］. IEEE Transactions on Automatic Control, 1999, 44(4): 876877.
［11］ WANG Z, YANG F, HO D W C, et al. Robust H∞ filtering for stochastic timedelay systems with missing measurements ［J］. IEEE Transactions on Signal Processing, 2006, 54(7): 25792587.
［12］ SAVKIN A V, PETERSEN R. Robust filtering with missing data and a deterministic description f noise and uncertainty ［J］. International Journal and System Science, 1997, 8(4): 373390.
［13］ SMITH S C, SEILER P. Estimation with lossy measurements: jump estimators for ump systems ［J］. IEEE Transactions on Automatic Control, 2003, 48(12): 21632171.
［14］ LI J, ZHANG Q L, XIE Y H. Robust H∞ control of uncertain networked control systems with dropout compensation and Markov jumping parameters ［C］∥ Proceedings of the 7th World Congress on Intelligent Control and Automation. Chongqing, China: IEEE, 2008: 79657969.
［15］ XIAO L, ARASH H, JONATHAN P H. Control with random communication delays via a discretetime jump system approach ［J］. Proceedings of the American Control Conference. Chicago: IEEE, 2000: 21992204.
