Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control

The problem of stabilization of a class of nonholonomic systems that can be transformed into chained form is considered. Since nonholonomic systems cannot be stabilized using smooth and time invariant control, a switching algorithm comprising three distinct steps is employed to stabilize the system....

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Main Author: Yasir Awais Butt
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Alexandria Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016817301813
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spelling doaj-f4874212704f47a2af2533d567f74d7a2021-06-02T02:47:22ZengElsevierAlexandria Engineering Journal1110-01682018-09-0157315911596Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode controlYasir Awais Butt0Department of Electronic Engineering, Capital University of Science and Technology, Islamabad, PakistanThe problem of stabilization of a class of nonholonomic systems that can be transformed into chained form is considered. Since nonholonomic systems cannot be stabilized using smooth and time invariant control, a switching algorithm comprising three distinct steps is employed to stabilize the system. The proposed algorithm allows the system to be reduced into simpler subsystems and affords employing different controllers in each step. Using this approach, desired performance and robustness properties of the feedback control system can be guaranteed. The effectiveness of the proposed algorithm is established by applying it on a unicycle type system moving on hyperbolic plane. In order to make the controller robust, integral sliding mode control is introduced that guarantees robust stabilization. Simulation results confirm the mathematical developments. Keywords: Stabilization, Nonholonomic systems, Switching control, Integral sliding mode controlhttp://www.sciencedirect.com/science/article/pii/S1110016817301813
collection DOAJ
language English
format Article
sources DOAJ
author Yasir Awais Butt
spellingShingle Yasir Awais Butt
Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
Alexandria Engineering Journal
author_facet Yasir Awais Butt
author_sort Yasir Awais Butt
title Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
title_short Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
title_full Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
title_fullStr Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
title_full_unstemmed Robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
title_sort robust stabilization of a class of nonholonomic systems using logical switching and integral sliding mode control
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2018-09-01
description The problem of stabilization of a class of nonholonomic systems that can be transformed into chained form is considered. Since nonholonomic systems cannot be stabilized using smooth and time invariant control, a switching algorithm comprising three distinct steps is employed to stabilize the system. The proposed algorithm allows the system to be reduced into simpler subsystems and affords employing different controllers in each step. Using this approach, desired performance and robustness properties of the feedback control system can be guaranteed. The effectiveness of the proposed algorithm is established by applying it on a unicycle type system moving on hyperbolic plane. In order to make the controller robust, integral sliding mode control is introduced that guarantees robust stabilization. Simulation results confirm the mathematical developments. Keywords: Stabilization, Nonholonomic systems, Switching control, Integral sliding mode control
url http://www.sciencedirect.com/science/article/pii/S1110016817301813
work_keys_str_mv AT yasirawaisbutt robuststabilizationofaclassofnonholonomicsystemsusinglogicalswitchingandintegralslidingmodecontrol
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