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区间系统的量化混杂反馈镇定 被引量：2

Hybrid Feedback Stabilization of Interval Systems with Quantized Signals
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摘要 量化反馈镇定是控制理论中一个重要的研究领域.近年来得到了很多深刻的结果.研究一类区间系统的量化反馈镇定.在一定条件下,采用放大缩小参数的方法,构造了量化控制律,使系统实现反馈镇定. Control using quantized feedback has been an important research area. Recently, a lot of fundamental results are obtained. A class of interval systems are studied in this paper. Using zoom out and zoom in methods, a dynamic quantizer is constructed,which can stabilize the interval systems.
作者 慕小武 高扬 赵微
机构地区 郑州大学数学系 大庆师范学院数学系
出处 《数学的实践与认识》 CSCD 北大核心 2010年第10期229-234,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(60874006) 数学天元基金(10826078) 黑龙江省青年科学基金项目(QC2009C99) 大庆师范学院自然科学青年基金项目(08ZQ07)
关键词 量化 量化器 区间系统 镇定 quantized quantizers interval systems stabilization
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献10

  • 1Kalman R E. Nonlinear Aspects of Sampled-Data Control Systems[M]. Proc Syrup Nonlinear Circuit Theory, vol. Ⅶ, Brooklyn, NY, 1956.
  • 2Brockett R W, Liberzon D. Quantized feedback stabilization of linear systems[J]. IEEE Transactions on Automatic Control, 2000, 45(7): 1279-1289.
  • 3Liberzon D. Hybrid feedback stabilization of systems with quantized signals[J]. Automatica, 2003, 39: 1543-1554.
  • 4CHE Wei-Wei,YANG Guang-Hong.Quantized Dynamic Output Feedback H∞ Control for Discrete-time Systems with Quantizer Ranges Consideration[J].自动化学报,2008,34(6):652-658. 被引量：7
  • 5Haimovicha H and Seron M.Multivariable quadratically-stabilizing quantizers with finite density[J]. Automatica, 2008, 44(7): 1880-1885.
  • 6Gao H and Chen T. A new approach to quantized feedback control systems[J]. Automatica, 2008, 44(2): 534-542.
  • 7Yang G and Lum K. Comments on "Quadratic stability and stabilization of dynamic interval systems" [J]. IEEE Transactions on Automatic Control, 2005, 50(2): 276-277.
  • 8Fu M and Xie L. Finite-Level quantized feedback control for linear systems[J]. IEEE Transactions on Automatic Control, 2009, 54(5): 1165-1170.
  • 9Nesic, D and Liberzon D. A unified framework for design and analysis of networked and quantized control systems[J]. IEEE Transactions on Automatic Control, 2009, 54(4): 732-747.
  • 10Mao X, Lam J, Xu S and Gao H. Razumikhim method and exponential stability of hybrid stachastic delay interval systems[J]. J Math Annal Appl, 2006, 314: 45-66.

二级参考文献18

  • 1Gao H J, Chen T W. A poly-quadratic approach to quantized feedback systems. In: Proceedings of the 45th IEEE Conference on Decision and Control. USA: IEEE, 2006. 5495-5500
  • 2Fu M Y, Xie L H. Finite-level quantized feedback control for linear systems. In: Proceedings of the 45th IEEE Conference on Decision and Control. USA: IEEE, 2006. 1117-1122
  • 3Nair G N, Evans R J. Exponential stabilisability of finitedimensional linear systems with limited data rates. Automatica, 2003, 39(4): 585-593
  • 4Liberzon D, Brockett R W. Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control. IEEE Transactions on Automatic Control, 2000, 45(6): 1116-1130
  • 5Nair G N, Evans R J. Stabilization with data-rate-limited feedback: tightest attainable bounds. Systems and Control Letters, 2000, 41(1): 49-56
  • 6Tatikonda S, Mitter S. Control under communication constraints. IEEE Transactions on Automatic Control, 2004, 49(7): 1056-1068
  • 7Ling Q, Lemmon M D. Stability of quantized control systems under dynamic bit assignment. IEEE Transactions on Automatic Control, 2005, 50(5): 734-740
  • 8Brockett R W, Liberzon D. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 2000, 45(7): 1279-1289
  • 9Liberzon D. Hybrid feedback stabilization of systems with quantized signals. Automatica, 2003, 39(9): 1543-1554
  • 10Zhai G S, Chen X K, Imae J, Kobayashi T. Analysis and design of Hoo feedback control systems with two quantized signals. In: Proceedings of IEEE International Conference on Networking, Sensing and Control. IEEE, 2006. 346-350

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数学的实践与认识
2010年 第10期

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