An intelligent construction of control lyapunov function

Lyapunov stability theorem has made an important contribution in the world of control engineering. The Lyapunov theory provides a connection between the presence of a control Lyapunov function and the stability of a control system. This research presents a novel approach to construct control Lyapuno...

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Main Author:	Osman Hussein, Fawaz Mohammed
Format:	Thesis
Language:	English
Published:	2014
Subjects:	TK Electrical engineering Electronics Nuclear engineering
Online Access:	http://eprints.utm.my/id/eprint/48848/25/FawazMohammedOsmanHusseinMFKE2014.pdf
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id	my-utm-ep.48848
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spelling	my-utm-ep.488482020-07-01T06:19:06Z An intelligent construction of control lyapunov function 2014-06 Osman Hussein, Fawaz Mohammed TK Electrical engineering. Electronics Nuclear engineering Lyapunov stability theorem has made an important contribution in the world of control engineering. The Lyapunov theory provides a connection between the presence of a control Lyapunov function and the stability of a control system. This research presents a novel approach to construct control Lyapunov function named Intelligent Control Lyapunov Function (ICLF) to test the stability of single input single output (SISO) nonlinear dynamic system using Artificial Neural Network (ANN). The proposed approach is considered the error signal in SISO nonlinear dynamic system as an input signal to Intelligent Control Lyapunov Function (ANN model) to determine the stability of the control system by training the ANN model using target signal. However, the proposed target function is satisfied the stability conditions of second method of the Lyapunov stability theory [Control Lyapunov Function V(x)]. The novel trained model (ICLF) shows the unique characteristics of Artificial Neural Networks in adapting itself to nonlinear dynamic system changes. The Intelligent Control Lyapunov Function has proven that the existence of smooth uniform control Lyapunov function is a condition for satisfying the robustness and stability of a nonlinear dynamic system. 2014-06 Thesis http://eprints.utm.my/id/eprint/48848/ http://eprints.utm.my/id/eprint/48848/25/FawazMohammedOsmanHusseinMFKE2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:83699 masters Universiti Teknologi Malaysia, Faculty of Electrical Engineering Faculty of Electrical Engineering
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TK Electrical engineering Electronics Nuclear engineering
spellingShingle	TK Electrical engineering Electronics Nuclear engineering Osman Hussein, Fawaz Mohammed An intelligent construction of control lyapunov function
description	Lyapunov stability theorem has made an important contribution in the world of control engineering. The Lyapunov theory provides a connection between the presence of a control Lyapunov function and the stability of a control system. This research presents a novel approach to construct control Lyapunov function named Intelligent Control Lyapunov Function (ICLF) to test the stability of single input single output (SISO) nonlinear dynamic system using Artificial Neural Network (ANN). The proposed approach is considered the error signal in SISO nonlinear dynamic system as an input signal to Intelligent Control Lyapunov Function (ANN model) to determine the stability of the control system by training the ANN model using target signal. However, the proposed target function is satisfied the stability conditions of second method of the Lyapunov stability theory [Control Lyapunov Function V(x)]. The novel trained model (ICLF) shows the unique characteristics of Artificial Neural Networks in adapting itself to nonlinear dynamic system changes. The Intelligent Control Lyapunov Function has proven that the existence of smooth uniform control Lyapunov function is a condition for satisfying the robustness and stability of a nonlinear dynamic system.
format	Thesis
qualification_level	Master's degree
author	Osman Hussein, Fawaz Mohammed
author_facet	Osman Hussein, Fawaz Mohammed
author_sort	Osman Hussein, Fawaz Mohammed
title	An intelligent construction of control lyapunov function
title_short	An intelligent construction of control lyapunov function
title_full	An intelligent construction of control lyapunov function
title_fullStr	An intelligent construction of control lyapunov function
title_full_unstemmed	An intelligent construction of control lyapunov function
title_sort	intelligent construction of control lyapunov function
granting_institution	Universiti Teknologi Malaysia, Faculty of Electrical Engineering
granting_department	Faculty of Electrical Engineering
publishDate	2014
url	http://eprints.utm.my/id/eprint/48848/25/FawazMohammedOsmanHusseinMFKE2014.pdf
_version_	1747817486457241600

An intelligent construction of control lyapunov function

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