H∞ Tracking Control of Non-lower Triangular Nonlinear Systems: Coronary Artery System

This work presents a novel control approach that integrates backstepping and dynamic surface control techniques to design an H∞ tracking control system. Our focus is on a particular class of nonlinear systems that do not possess lower triangular structure, with a specific application to the coronary...

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Bibliographic Details
Main Authors: Ghizlane El khaloufi, Noreddine Chaibi, Sadek Belamfedel Alaoui, Ismail Boumhidi, Fatima Zahra Darouiche
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:E3S Web of Conferences
Subjects:
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/106/e3sconf_icegc2023_00074.pdf
Description
Summary:This work presents a novel control approach that integrates backstepping and dynamic surface control techniques to design an H∞ tracking control system. Our focus is on a particular class of nonlinear systems that do not possess lower triangular structure, with a specific application to the coronary system. By employing dynamic surface control, the issue of differential explosion encountered during the backstepping process is effectively addressed, while also guaranteeing robustness. Finally, simulation of coronary artery system proves the effectiveness of the proposed control strategy.
ISSN:2267-1242