Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty
Kybernetika, Tome 58 (2022) no. 4, pp. 637-660
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
In this paper, the problem of adaptive output feedback stabilization is investigated for a class of nonlinear systems with sensor uncertainty in measured output and a growth rate of polynomial-of-output multiplying an unknown constant in the nonlinear terms. By developing a dual-domination approach, an adaptive observer and an output feedback controller are designed to stabilize the nonlinear system by directly utilizing the measured output with uncertainty. Besides, two types of extension are made such that the proposed methods of adaptive output feedback stabilization can be applied for nonlinear systems with a large range of sensor uncertainty. Finally, numerical simulations are provided to illustrate the correctness of the theoretical results.
DOI :
10.14736/kyb-2022-4-0637
Classification :
93C10, 93D15, 93D21
Keywords: adaptive stabilization; polynomial-of-output growth rate; measurement sensitivity; output feedback; observer
Keywords: adaptive stabilization; polynomial-of-output growth rate; measurement sensitivity; output feedback; observer
@article{10_14736_kyb_2022_4_0637,
author = {Shen, Yanjun and Lin, Lei},
title = {Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty},
journal = {Kybernetika},
pages = {637--660},
publisher = {mathdoc},
volume = {58},
number = {4},
year = {2022},
doi = {10.14736/kyb-2022-4-0637},
mrnumber = {4521860},
zbl = {07655851},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-4-0637/}
}
TY - JOUR AU - Shen, Yanjun AU - Lin, Lei TI - Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty JO - Kybernetika PY - 2022 SP - 637 EP - 660 VL - 58 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-4-0637/ DO - 10.14736/kyb-2022-4-0637 LA - en ID - 10_14736_kyb_2022_4_0637 ER -
%0 Journal Article %A Shen, Yanjun %A Lin, Lei %T Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty %J Kybernetika %D 2022 %P 637-660 %V 58 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-4-0637/ %R 10.14736/kyb-2022-4-0637 %G en %F 10_14736_kyb_2022_4_0637
Shen, Yanjun; Lin, Lei. Adaptive output feedback stabilization for nonlinear systems with unknown polynomial-of-output growth rate and sensor uncertainty. Kybernetika, Tome 58 (2022) no. 4, pp. 637-660. doi: 10.14736/kyb-2022-4-0637
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