An extension of a lemma of Dayawansa and its application in the design of extended observers for nonlinear systems

被引:9
作者
Isidori, Alberto [1 ]
Pyrkin, Anton [2 ,3 ,4 ]
Borisov, Oleg [3 ]
机构
[1] Univ Roma La Sapienza, Dept Comp & Syst Sci A Ruberti, Rome, Italy
[2] Hangzhou Dianzi Univ, Sch Automat, Xiasha Higher Educ Zone, Hangzhou, Zhejiang, Peoples R China
[3] ITMO Univ, Dept Control Syst & Robot, Kronverksky Ave 49, St Petersburg, Russia
[4] Innopolis Univ, Ctr Technol Robot & Mechatron Components, Innopolis, Russia
关键词
Dayawansa's lemma; Robust observers; Nonlinear systems; High-gain observers;
D O I
10.1016/j.automatica.2019.04.043
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 show how, by extending a classical Lemma due to Dayawansa, it is possible to enhance the theory of robust extended observers so as to cover a wide class of nonlinear systems, namely those systems whose normal form is characterized by "time-dependent gains" in the "string of integrators between input and output". Such class includes helicopters, quadrotors, robot arms and electric drives. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码:178 / 183
页数:6
相关论文
共 6 条
[1]   Performance Recovery of Feedback-Linearization-Based Designs [J].
Freidovich, Leonid B. ;
Khalil, Hassan K. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (10) :2324-2334
[2]  
Gauthier J.-P., 2001, DETERMINISTIC OBSERV
[3]  
Jiang ZP, 1998, OPT PHOTONICS NEWS, V9, pNIL_1
[4]  
lsidori A, 2017, LECT FEEDBACK DESIGN
[5]   Recursive nonlinear observer design: Beyond the uniform observability [J].
Shim, H ;
Seo, JH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :294-298
[6]   TOOLS FOR SEMIGLOBAL STABILIZATION BY PARTIAL STATE AND OUTPUT-FEEDBACK [J].
TEEL, A ;
PRALY, L .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1995, 33 (05) :1443-1488