Nonlinear Gain l2 Stability of Nonlinear Feedback Systems with Quantized Measurements

被引:0
作者
Kameneva, Tatiana [1 ]
Nesic, Dragan [1 ]
机构
[1] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
来源
2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11 | 2008年
关键词
Robustness; Disturbances; l(2) Stability; Quantization;
D O I
10.1109/CCDC.2008.4597272
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we address the stabilization problem of the nonlinear feedback systems with quantized measurements in the presence of bounded disturbances. Building on an approach applied in [Liberzon, Nesic, 2004] to the linear time-invariant systems with quantized feedback, we extend the results of [Kameneva, Nesic, 2008] to the quantized control systems with nonlinear dynamics. Using the time-sampled scheme proposed in [Liberzon, Nesic, 2004] and later used in [Kameneva, Nesic, 2008], we show that the nonlinear gain 12 stability is achievable for the nonlinear systems with quantized feedback.
引用
收藏
页码:68 / 73
页数:6
相关论文
共 13 条
[1]   Quantized feedback stabilization of linear systems [J].
Brockett, RW ;
Liberzon, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (07) :1279-1289
[2]   STABILIZING A LINEAR-SYSTEM WITH QUANTIZED STATE FEEDBACK [J].
DELCHAMPS, DF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (08) :916-924
[3]   GLOBAL INTERNAL STABILIZABILITY DOES NOT IMPLY GLOBAL EXTERNAL STABILIZABILITY FOR SMALL SENSOR DISTURBANCES [J].
FREEMAN, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (12) :2119-2122
[4]   Input-to-state stability for discrete-time nonlinear systems [J].
Jiang, ZP ;
Wang, Y .
AUTOMATICA, 2001, 37 (06) :857-869
[5]   On l2 stabilization of linear systems with quantized control [J].
Kameneva, Tania ;
Nesic, Dragan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (01) :399-405
[6]   Hybrid feedback stabilization of systems with quantized signals [J].
Liberzon, D .
AUTOMATICA, 2003, 39 (09) :1543-1554
[7]  
LIBERZON D, 2004, IEEE T AUTOMAT CONTR, V52, P413
[8]   Finite gain lp stabilization requires analog control [J].
Martins, Nuno C. .
SYSTEMS & CONTROL LETTERS, 2006, 55 (11) :949-954
[9]   Feedback control under data rate constraints: An overview [J].
Nair, Girish N. ;
Fagnani, Fabio ;
Zampieri, Sandro ;
Evans, Robin J. .
PROCEEDINGS OF THE IEEE, 2007, 95 (01) :108-137
[10]   Stabilization with data-rate-limited feedback: tightest attainable bounds [J].
Nair, GN ;
Evans, RJ .
SYSTEMS & CONTROL LETTERS, 2000, 41 (01) :49-56