Peaking free variable structure control of uncertain linear systems based on a high-gain observer

被引:62
作者
Cunha, Jose Paulo V. S. [1 ]
Costa, Ramon R. [2 ]
Lizarralde, Fernando [2 ]
Hsu, Liu [2 ]
机构
[1] Univ Estado Rio De Janeiro, Dept Elect & Telecommun Engn, BR-20550900 Rio De Janeiro, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, BR-21945970 Rio De Janeiro, Brazil
关键词
Variable-structure control; Sliding mode; High-gain observer; Model reference control; Peaking phenomena; Output feedback; OUTPUT-FEEDBACK STABILIZATION; SLIDING-MODE CONTROL; NONLINEAR-SYSTEMS; ADAPTIVE-CONTROL; DESIGN; DIFFERENTIATION; STABILITY;
D O I
10.1016/j.automatica.2008.12.018
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An output-feedback model-reference variable structure controller based on a high-gain observer (HGO) is proposed and analyzed. For single-input-single-output (SISO) linear plants with relative degree greater than one, the control law is generated using the HGO signals only to drive the sign function of the variable structure control component while the sign function gain, also called modulation, as well as the other components of the control signal are generated using signals from state variable filters which do not require high gain and are free of peaking. This scheme achieves global exponential stability with respect to a small residual set and does not generate peaking in the control signal. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1156 / 1164
页数:9
相关论文
共 29 条
[1]   A separation principle for the stabilization of a class of nonlinear systems [J].
Atassi, AN ;
Khalil, HK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (09) :1672-1687
[2]   Separation results for the stabilization of nonlinear systems using different high-gain observer designs [J].
Atassi, AN ;
Khalil, HK .
SYSTEMS & CONTROL LETTERS, 2000, 39 (03) :183-191
[3]  
BONDAREV AG, 1985, AUTOMAT REM CONTR+, V46, P679
[4]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[5]  
Boyd S. P., 1991, LINEAR CONTROLLER DE
[6]  
BUSAWON K, 1993, PROCEEDINGS OF THE 32ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P1966, DOI 10.1109/CDC.1993.325539
[7]   A model reference observer for time-delay control and its application to robot trajectory control [J].
Chang, PH ;
Lee, JW .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 1996, 4 (01) :2-10
[8]   Time-varying high-gain observers for numerical differentiation [J].
Chitour, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (09) :1565-1569
[9]  
CUNHA JPV, 2005, P 16 IFAC WORLD C, P717
[10]   Output-feedback model-reference sliding mode control of uncertain multivariable systems [J].
Cunha, JPVS ;
Hsu, L ;
Costa, RR ;
Lizarralde, F .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (12) :2245-2250