Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions

Guo, Chaoqun, et al. "Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions." Kybernetika 59.3 (2023): 342-364. <http://eudml.org/doc/299468>.

@article{Guo2023,
abstract = {In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained and unconstrained cases in a unified way. Further, a radial basis function neural network is constructed to approximate the unknown dynamics in the system and a fixed-time dynamic surface control (FDSC) technique is developed to facilitate the fixed-time control design for the uncertain high-order pure-feedback system. Combined with the proposed unified transformation function and the FDSC technique, an adaptive fixed-time control strategy is proposed to guarantee the fixed-time tracking. The novel original results of the paper allow to design the independent unified flexible fixed-time control strategy taking into account the actual possible constraints, either present or missing. Numerical examples are presented to demonstrate the proposed fixed-time tracking control strategy.},
author = {Guo, Chaoqun, Hu, Jiangping, Hao, Jiasheng, Čelikovský, Sergej, Hu, Xiaoming},
journal = {Kybernetika},
keywords = {fixed-time safe control; nonlinear pure-feedback systems; state constrains; dynamic surface control; unified transformation function},
language = {eng},
number = {3},
pages = {342-364},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions},
url = {http://eudml.org/doc/299468},
volume = {59},
year = {2023},
}

TY - JOUR
AU - Guo, Chaoqun
AU - Hu, Jiangping
AU - Hao, Jiasheng
AU - Čelikovský, Sergej
AU - Hu, Xiaoming
TI - Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions
JO - Kybernetika
PY - 2023
PB - Institute of Information Theory and Automation AS CR
VL - 59
IS - 3
SP - 342
EP - 364
AB - In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained and unconstrained cases in a unified way. Further, a radial basis function neural network is constructed to approximate the unknown dynamics in the system and a fixed-time dynamic surface control (FDSC) technique is developed to facilitate the fixed-time control design for the uncertain high-order pure-feedback system. Combined with the proposed unified transformation function and the FDSC technique, an adaptive fixed-time control strategy is proposed to guarantee the fixed-time tracking. The novel original results of the paper allow to design the independent unified flexible fixed-time control strategy taking into account the actual possible constraints, either present or missing. Numerical examples are presented to demonstrate the proposed fixed-time tracking control strategy.
LA - eng
KW - fixed-time safe control; nonlinear pure-feedback systems; state constrains; dynamic surface control; unified transformation function
UR - http://eudml.org/doc/299468
ER -