FIXED-TIME SAFE TRACKING CONTROL OF SYSTEMS VIA UNIFIED TRANSFORMATION FUNCTIONS

0573491 - ÚTIA 2024 RIV CZ eng J - Journal Article
Guo, Ch. - Hu, J. - Hao, J. - Čelikovský, Sergej - Hu, X.
FIXED-TIME SAFE TRACKING CONTROL OF SYSTEMS VIA UNIFIED TRANSFORMATION FUNCTIONS.
Kybernetika. Roč. 59, č. 3 (2023), s. 342-364. ISSN 0023-5954
R&D Projects: GA ČR(CZ) GA21-03689S
Institutional support: RVO:67985556
Keywords : Fixed-time safe control * Nonlinear pure-feedback systems * State constrains * State constrains * Dynamic surface control * Unified transformation function
OECD category: Automation and control systems
Impact factor: 0.5, year: 2022
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2023/TR/celikovsky-0573491.pdf https://www.kybernetika.cz/content/2023/3/342

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.
Permanent Link: https://hdl.handle.net/11104/0344017