LMI-Based Composite Nonlinear Feedback Tracker for Uncertain Nonlinear Systems With Time Delay and Input Saturation
Journal article
Authors/Editors
Strategic Research Themes
Publication Details
Author list: Rizi, Leyli Saboktakin; Mobayen, Saleh; Dastjerdi, Mohammad Taghi; Ghaffari, Valiollah; Bartoszewicz, Andrzej; Assawinchaichote, Wudhichai;
Publisher: Institute of Electrical and Electronics Engineers
Publication year: 2022
Volume number: 10
Start page: 100489
End page: 100500
Number of pages: 12
ISSN: 2169-3536
eISSN: 2169-3536
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
Abstract
This study proposes a composite nonlinear feedback approach for the robust tracking control problem of uncertain nonlinear systems with input saturation, Lipschitz nonlinear functions, multivariable time-delays, and disturbances. The composite nonlinear feedback technique includes two components: a linear feedback portion constructed in such a way that it changes the damping ratio so as to speed up the system's response. A nonlinear feedback controller is designed to further increment the damping ratio in a way that it ensures the tracking whilst reducing the overshoot created by the linear portion. By creating a suitable Lyapunov functional and by using the linear matrix inequality (LMI) approach, the LMI conditions are determined to guarantee system stability and obtain the required design parameters. The performance of the proposed approach is assessed using a simulation study of a two-dimensional system along with a Chua's circuit system. The advantages of the proposed approach are its less-restrictive assumptions, improved transient performance, and steady-state precision. © 2013 IEEE.
Keywords
Composite nonlinear feedback, input saturation
Contact Information