Hybrid feedback stabilization of systems with quantized signals

被引：758
作者：
Liberzon, D [1 ]
机构：
[1] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
来源：
AUTOMATICA | 2003年 / 39卷 / 09期
基金：
美国国家科学基金会;
关键词：
quantization; hybrid control; Lyapunov function; input-to-state stability;
D O I：
10.1016/S0005-1098(03)00151-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general types of quantizers affecting the state of the system, the measured output, or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems, and input-to-state stability. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1543 / 1554
页数：12
相关论文
共 27 条
[1]  
Astrom K. J., 1999, Proceedings of the 14th World Congress. International Federation of Automatic Control, P301
[2]   Quantized feedback stabilization of linear systems [J].
Brockett, RW ;
Liberzon, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1279-1289
[3]   Networks and control [J].
Bushnell, LG .
IEEE CONTROL SYSTEMS MAGAZINE, 2001, 21 (01) :22-23
[4]   Robust stability bound on linear time-varying uncertainties for linear digital control systems under finite wordlength effects [J].
Chou, JH ;
Chen, SH ;
Horng, IR .
JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING, 1996, 39 (04) :767-771
[5]   STABILIZING A LINEAR-SYSTEM WITH QUANTIZED STATE FEEDBACK [J].
DELCHAMPS, DF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (08) :916-924
[6]   EXTRACTING STATE INFORMATION FROM A QUANTIZED OUTPUT RECORD [J].
DELCHAMPS, DF .
SYSTEMS & CONTROL LETTERS, 1989, 13 (05) :365-372
[7]   Centroidal Voronoi tessellations: Applications and algorithms [J].
Du, Q ;
Faber, V ;
Gunzburger, M .
SIAM REVIEW, 1999, 41 (04) :637-676
[8]   Stabilization of linear systems with limited information [J].
Elia, N ;
Mitter, SK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (09) :1384-1400
[9]  
Fah N. C. S., 1999, ESAIM. Control, Optimisation and Calculus of Variations, V4, P99
[10]   Active probing for information in control systems with quantized state measurements: A minimum entropy approach [J].
Feng, XB ;
Loparo, KA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (02) :216-238
123