Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design

Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design

Design approach of an output feedback tracking controller is proposed for a class of high-order nonlinear systems with time delay. To deal with the time delays, an appropriate Lyapunov–Krasovskii the tracking analysis is ingeniously constructed, and an output feedback tracking controller is designed...

Full description

Bibliographic Details
Main Authors: Keylan Alimhan, Orken J. Mamyrbayev, Gaukhar A. Abdenova, Almira Akmetkalyeva
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Symmetry
Subjects:
practical tracking
time delay
high-order nonlinear systems
output feedback
Lyapunov–Krasovskii functional
Online Access:https://www.mdpi.com/2073-8994/13/4/675
id doaj-b2c8d19a97d4467d9847033295c1abd9
record_format Article
spelling doaj-b2c8d19a97d4467d9847033295c1abd92021-04-13T23:06:57ZengMDPI AGSymmetry2073-89942021-04-011367567510.3390/sym13040675Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback DesignKeylan Alimhan0Orken J. Mamyrbayev1Gaukhar A. Abdenova2Almira Akmetkalyeva3Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan 010000, KazakhstanInstitute of Information and Computational Technologies, Almaty 050010, KazakhstanFaculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan 010000, KazakhstanFaculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Nur-Sultan 010000, KazakhstanDesign approach of an output feedback tracking controller is proposed for a class of high-order nonlinear systems with time delay. To deal with the time delays, an appropriate Lyapunov–Krasovskii the tracking analysis is ingeniously constructed, and an output feedback tracking controller is designed by using a homogeneous domination method. It is shown that the proposed output controller independent of time delay can make the tracking error be adjusted to be sufficiently small and render all the trajectory of the closed-loop system as bounded. An example is given to illustrate the effectiveness of the proposed method.https://www.mdpi.com/2073-8994/13/4/675practical trackingtime delayhigh-order nonlinear systemsoutput feedbackLyapunov–Krasovskii functional
collection DOAJ
language English
format Article
sources DOAJ
author Keylan Alimhan
Orken J. Mamyrbayev
Gaukhar A. Abdenova
Almira Akmetkalyeva
spellingShingle Keylan Alimhan
Orken J. Mamyrbayev
Gaukhar A. Abdenova
Almira Akmetkalyeva
Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
Symmetry
practical tracking
time delay
high-order nonlinear systems
output feedback
Lyapunov–Krasovskii functional
author_facet Keylan Alimhan
Orken J. Mamyrbayev
Gaukhar A. Abdenova
Almira Akmetkalyeva
author_sort Keylan Alimhan
title Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
title_short Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
title_full Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
title_fullStr Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
title_full_unstemmed Output Tracking Control for High-Order Nonlinear Systems with Time Delay via Output Feedback Design
title_sort output tracking control for high-order nonlinear systems with time delay via output feedback design
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-04-01
description Design approach of an output feedback tracking controller is proposed for a class of high-order nonlinear systems with time delay. To deal with the time delays, an appropriate Lyapunov–Krasovskii the tracking analysis is ingeniously constructed, and an output feedback tracking controller is designed by using a homogeneous domination method. It is shown that the proposed output controller independent of time delay can make the tracking error be adjusted to be sufficiently small and render all the trajectory of the closed-loop system as bounded. An example is given to illustrate the effectiveness of the proposed method.
topic practical tracking
time delay
high-order nonlinear systems
output feedback
Lyapunov–Krasovskii functional
url https://www.mdpi.com/2073-8994/13/4/675
work_keys_str_mv AT keylanalimhan outputtrackingcontrolforhighordernonlinearsystemswithtimedelayviaoutputfeedbackdesign
AT orkenjmamyrbayev outputtrackingcontrolforhighordernonlinearsystemswithtimedelayviaoutputfeedbackdesign
AT gaukharaabdenova outputtrackingcontrolforhighordernonlinearsystemswithtimedelayviaoutputfeedbackdesign
AT almiraakmetkalyeva outputtrackingcontrolforhighordernonlinearsystemswithtimedelayviaoutputfeedbackdesign
_version_ 1721528247283351552

Similar Items