Output feedback control for time-delay system with quantized measurement

被引:1
|
作者
Wang J.-H. [1 ]
Xue A.-K. [1 ]
机构
[1] School of Automation, Hangzhou Dianzi University
关键词
Exponential stability; Logarithmic quantizer; Output feedback control; Time-delay system;
D O I
10.3785/j.issn.1008-973X.2010.07.033
中图分类号
学科分类号
摘要
The signal must be quantized before transmission in order to solve the problem of the capacity constraint in network control system, but the quantization will bring error to the signal. The observer-based output feedback control with quantized measurement was conducted aimed at the time-delay system. The logarithmic quantizer was considered. The sector bound method was introduced to analyze the influence of the quantizer on the system. Then the logarithmic quantizer problem was transformed into the robust problem. The Lyapunov function with decay parameter was adopted to analyze the system convergence rate, and the exponential decay rate of closed-loop system was obtained. The sufficient condition of exponential stability was given based on the linear matrix inequality (LMI) approach, and the gains of controller and observer were derived. Numerical results illustrated that the approach is effective and feasible.
引用
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页码:1418 / 1422
页数:4
相关论文
共 17 条
  • [1] Kalman R.E., Nonlinear aspects of sampled-data control systems, Proceedings of the Symposium on Nonlinear Circuit Analysis, pp. 273-313, (1956)
  • [2] Gray R., Neuhoff D., Quantization, IEEE Transactions on Information Theory, 44, 6, pp. 2325-2383, (1998)
  • [3] Widrow B., Kollar I., Liu M., Statistical theory of quantization, IEEE Transactions on Automatic Control, 45, 2, pp. 351-361, (1996)
  • [4] Miller R., Michel A., Fanel J., Quantizer effects on steady state error specifications of digital control systems, IEEE Transactions on Automatic Control, 34, 6, pp. 651-654, (1989)
  • [5] Elia N., Mitter S., Stabilization of linear systems with limited information, IEEE Transactions on Automatic Control, 46, 9, pp. 1384-1400, (2001)
  • [6] Fu M., Xie L., The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control, 50, 11, pp. 1698-1711, (2005)
  • [7] Chen Y.-P., Zhang Q.-L., Zhai D., H<sub>∞</sub> control based on observer with additive feedback gain variations for descriptor systems, Acta Automatica Sinica, 30, 1, pp. 151-154, (2003)
  • [8] Liu L.-H., Li X.-H., Liu Z.-D., Robust fault-tolerant control for state feedback systems based on a reduced order observer, Journal of Beijing Institute of Machinery, 19, 1, pp. 7-11, (2004)
  • [9] Gao H., Zhu S., Chen Z., Et al., Delay-dependent state feedback guaranteed cost control uncertain singular time-delay systems, Conference of Decision Control and European Control, pp. 4354-4359, (2005)
  • [10] Zhou W.-N., Shu H.-Y., Chu J., XXX-robust output control for uncertain time-delay system, Journal of Zhejiang University: Engineering Science, 39, 9, pp. 1329-1333, (2005)