Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model

被引:18
作者
Ustunturk, Ahmet [1 ,2 ]
机构
[1] Middle E Tech Univ, Dept Elect & Elect Engn, TR-06531 Ankara, Turkey
[2] Turk Telekom, TR-06103 Ankara, Turkey
关键词
Controller design; Output feedback; Stabilization; Sampled data; Nonlinear; Dual rate; TO-STATE STABILIZATION; FRAMEWORK; STABILITY;
D O I
10.1016/j.automatica.2012.05.044
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of output feedback stabilization of nonlinear sampled-data control systems is considered under the low measurement rate constraint. A dual-rate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the missing output values between measured output samples. It is shown that if an observer-based output feedback controller that semiglobally practically asymptotically (SPA) stabilizes the single-rate sampled-data plant model is given, then the SPA stability property will be preserved for the closed-loop dual-rate sampled-data system, on the basis of the proposed dual-rate control scheme under standard assumptions. A numerical example is given to illustrate the design method. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1796 / 1802
页数:7
相关论文
共 21 条
[1]   Multirate sampled-data output feedback using high-gain observers [J].
Ahrens, Jeffrey H. ;
Khalil, Hassan K. .
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :4885-4890
[2]   A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation [J].
Arcak, M ;
Nesic, D .
AUTOMATICA, 2004, 40 (11) :1931-1938
[3]   Output feedback sampled-data control of nonlinear systems using high-gain observers [J].
Dabroom, AM ;
Khalil, HK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (11) :1712-1725
[4]  
Fossen T.I., 2002, Marine control systems
[5]  
Katayama Hitoshi, 2009, 2009 European Control Conference (ECC), P4883
[6]  
Khalil H., 2002, Nonlinear Systems, V3
[7]   Performance recovery under output feedback sampled-data stabilization of a class of nonlinear systems [J].
Khalil, HK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (12) :2173-2184
[8]   Discrete-time nonlinear observer and output feedback design for a combustion engine test bench [J].
Laila, Dina Shona ;
Gruenbacher, Engelbert .
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, :5718-5723
[9]   Open- and closed-loop dissipation inequalities under sampling and controller emulation [J].
Laila, DS ;
Nesic, D ;
Teel, AR .
EUROPEAN JOURNAL OF CONTROL, 2002, 8 (02) :109-125
[10]   Preservation of input-to-state stability under sampling and emulation: multi-rate case [J].
Liu, X. ;
Marquez, H. J. .
INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (12) :1944-1953