Hybrid dead-beat observers for a class of nonlinear systems

被引:13
作者
Karafyllis, Iasson [1 ]
Jiang, Zhong-Ping [2 ]
机构
[1] Tech Univ Crete, Dept Environm Eng, Khania 73100, Greece
[2] New York Univ, Polytech Inst, Metrotech Ctr 6, Dept Elect & Comp Eng, Brooklyn, NY 11201 USA
基金
美国国家科学基金会;
关键词
Observer design; Nonlinear systems; Hybrid observers; FINITE-TIME OBSERVERS; OUTPUT-FEEDBACK; WIDE CLASS; HIGH-GAIN; DESIGN; DIFFERENTIATION; STATE;
D O I
10.1016/j.sysconle.2011.04.020
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 studies both the full order and the reduced order dead-beat observer problem for a class of nonlinear systems, linear in the unmeasured states. A novel hybrid observer design strategy is proposed, with the help of the notion of strong observability in finite time. The proposed methodology is applied for the estimation of the frequency of a sinusoidal signal. The results show that accurate estimation can be provided even if the signal is corrupted by high frequency noise. A brief discussion of the robustness properties of the proposed observer with respect to measurement errors is also provided. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:608 / 617
页数:10
相关论文
共 36 条
[1]   Optimization based non-linear observers revisited [J].
Alamir, M .
INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (13) :1204-1217
[2]   Global complete observability and output-to-state stability imply the existence of a globally convergent observer [J].
Astolfi, A ;
Praly, L .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2006, 18 (01) :32-65
[3]   A note on reduced order stabilizing output feedback controllers [J].
Battilotti, S .
SYSTEMS & CONTROL LETTERS, 1997, 30 (2-3) :71-81
[4]   An immersion-based observer design for rank-observable nonlinear systems [J].
Besancon, Gildas ;
Ticlea, Alexandru .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (01) :83-88
[5]   A hybrid redesign of Newton observers in the absence of an exact discrete-time model [J].
Biyik, E ;
Arcak, M .
SYSTEMS & CONTROL LETTERS, 2006, 55 (06) :429-436
[6]   An approach to design semi-global finite-time observers for a class of nonlinear systems [J].
Deng XiuCheng ;
Shen YanJun .
SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (10) :1746-1753
[7]   A continuous-time observer which converges in finite time [J].
Engel, R ;
Kreisselmeier, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) :1202-1204
[8]  
Freeman R. A., 1996, Robust Nonlinear Control Design
[9]   Tracking controllers for systems linear in the unmeasured states [J].
Freeman, RA ;
Kokotovic, PV .
AUTOMATICA, 1996, 32 (05) :735-746
[10]  
Gauthier JP., 2001, DETERMINISTIC OBSERV