OBSERVER BASED CONTROL FOR PRACTICAL STABILIZATION OF ONE-SIDED LIPSCHITZ NONLINEAR SYSTEMS

被引：2
作者：
Echi, Nadhem [1 ]
Mabrouk, Fehmi [2 ]
机构：
[1] Gafsa Univ, Dept Math, Gafsa, Tunisia
[2] Gafsa Univ, Preparatory Inst Engn Studies Gafsa, Dept Math, Gafsa, Tunisia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2024年 / 54卷 / 01期
关键词：
one-sided Lipschitz nonlinear systems; observer design; practical stability; output feedback stabilization; separation principle; DESIGN; ORDER;
D O I：
10.1216/rmj.2024.54.109
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper focuses on the observer design for a class of nonlinear systems involving bounded disturbances. This class of systems is a larger class of nonlinearities than the Lipschitz. We provide sufficient conditions for the observer design based on the one-sided Lipschitz and quadratically inner-bounded ones. In addition, we show the practical stability of the closed-loop system. Furthermore, we establish a separation principle for a class of nonlinear systems with bounded uncertain part. We also give a numerical example to demonstrate the effectiveness and applicability of the proposed controller.
引用
收藏
页码：109 / 120
页数：12
相关论文
共 23 条
[1]  
Abbaszadeh M, 2010, P AMER CONTR CONF, P5284
[2]   Observer-based robust control of one-sided Lipschitz nonlinear systems [J].
Ahmad, Sohaira ;
Rehan, Muhammad ;
Hong, Keum-Shik .
ISA TRANSACTIONS, 2016, 65 :230-240
[3]  
[Anonymous], 1991, Springer Series in Computational Mathematics
[4]   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
[5]   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
[6]   Design of unknown input observers and robust fault detection filters [J].
Chen, J ;
Patton, RJ ;
Zhang, HY .
INTERNATIONAL JOURNAL OF CONTROL, 1996, 63 (01) :85-105
[7]  
El Haiek B, 2018, P AMER CONTR CONF, P5250, DOI 10.23919/ACC.2018.8431169
[8]   Cascade observer design for a class of uncertain nonlinear systems with delayed outputs [J].
Farza, Mondher ;
Hernandez-Gonzalez, Omar ;
Menard, Tomas ;
Targui, Boubekeur ;
M'Saad, Mohammed ;
Astorga-Zaragoza, Carlos-Manuel .
AUTOMATICA, 2018, 89 :125-134
[9]  
HUANG J., 2017, P 2017 CHIN INT SYST, V1, P13, DOI [10.1007/978-981-10-6496-82, DOI 10.1007/978-981-10-6496-82]
[10]   Observers for Lipschitz nonlinear systems [J].
Rajamani, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (03) :397-401
123