Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach

Over the year, many researchers have considered the problem of stabilizing the uncertain systems. In variable structure control (VSC) system, the controller structure around the plant is intentionally changed by using a viable high-speed switching feedback control to obtain a desired plant behavior...

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Main Author: Mahmud, Nor Laili
Format: Thesis
Published: 2007
Subjects:
Online Access:http://eprints.utm.my/5484/
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author Mahmud, Nor Laili
author_facet Mahmud, Nor Laili
author_sort Mahmud, Nor Laili
building UTeM Institutional Repository
collection Online Access
description Over the year, many researchers have considered the problem of stabilizing the uncertain systems. In variable structure control (VSC) system, the controller structure around the plant is intentionally changed by using a viable high-speed switching feedback control to obtain a desired plant behavior or response. In this project, the problem of designing a variable structure control (VSC) law for uncertain system is considered. Using LMI approach, a design method of a linear sliding surface which is linear to the state is developed. A sufficient condition for the existence of linear sliding surface is given in term of LMIs and an explicit formula of linear sliding surfaces guaranteeing the quadratic stability of the reducedorder equivalent system dynamics restricted to the sliding surfaces is derived. The sliding mode controller is then applied to an Electrohydraulic servo system. The simulation works were performed using MATLAB/SIMULINK software. A comparison with Pole Placement method shows that the sliding mode controller designed using LMI method produce a better performance responses.
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institution Universiti Teknologi Malaysia
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spelling utm-54842020-07-22T04:20:37Z http://eprints.utm.my/5484/ Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach Mahmud, Nor Laili TK Electrical engineering. Electronics Nuclear engineering Over the year, many researchers have considered the problem of stabilizing the uncertain systems. In variable structure control (VSC) system, the controller structure around the plant is intentionally changed by using a viable high-speed switching feedback control to obtain a desired plant behavior or response. In this project, the problem of designing a variable structure control (VSC) law for uncertain system is considered. Using LMI approach, a design method of a linear sliding surface which is linear to the state is developed. A sufficient condition for the existence of linear sliding surface is given in term of LMIs and an explicit formula of linear sliding surfaces guaranteeing the quadratic stability of the reducedorder equivalent system dynamics restricted to the sliding surfaces is derived. The sliding mode controller is then applied to an Electrohydraulic servo system. The simulation works were performed using MATLAB/SIMULINK software. A comparison with Pole Placement method shows that the sliding mode controller designed using LMI method produce a better performance responses. 2007 Thesis NonPeerReviewed Mahmud, Nor Laili (2007) Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach. Masters thesis, Universiti Teknologi Malaysia, Faculty of Electrical Engineering. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:89?queryType=vitalDismax&query=Sliding+mode+control+of+a+class+of+uncertain+dynamic+systems+using+linear+matrix+inequality+approach+&public=true
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Mahmud, Nor Laili
Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title_full Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title_fullStr Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title_full_unstemmed Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title_short Sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
title_sort sliding mode control of a class of uncertain dynamic systems using linear matrix inequality approach
topic TK Electrical engineering. Electronics Nuclear engineering
url http://eprints.utm.my/5484/
http://eprints.utm.my/5484/