Method of estimating the region of attraction for a system with many nonlinearities.

Method of estimating the region of attraction for a system with many nonlinearities.

A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then apply...

Full description

Bibliographic Details
Main Author: Foster, William Robert
Language:English
Published: University of British Columbia 2011
Subjects:
Stability
Control theory
Lyapunov functions
Online Access:http://hdl.handle.net/2429/34265
id ndltd-UBC-oai-circle.library.ubc.ca-2429-34265
record_format oai_dc
spelling ndltd-UBC-oai-circle.library.ubc.ca-2429-342652018-01-05T17:47:24Z Method of estimating the region of attraction for a system with many nonlinearities. Foster, William Robert Stability Control theory Lyapunov functions A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then applying the projected gradient method to determine the exact solution. A three machine power system example is included to illustrate the application. Applied Science, Faculty of Electrical and Computer Engineering, Department of Graduate 2011-05-04T23:10:55Z 2011-05-04T23:10:55Z 1971 Text Thesis/Dissertation http://hdl.handle.net/2429/34265 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. University of British Columbia
collection NDLTD
language English
sources NDLTD
topic Stability
Control theory
Lyapunov functions
spellingShingle Stability
Control theory
Lyapunov functions
Foster, William Robert
Method of estimating the region of attraction for a system with many nonlinearities.
description A method of determining regions of attraction for a system with multiple nonlinearities is considered in this thesis. Application of the method involves finding the global minimum of a nonconvex Lyapunov function. This is done by finding a graphical solution using Lagrange multipliers and then applying the projected gradient method to determine the exact solution. A three machine power system example is included to illustrate the application. === Applied Science, Faculty of === Electrical and Computer Engineering, Department of === Graduate
author Foster, William Robert
author_facet Foster, William Robert
author_sort Foster, William Robert
title Method of estimating the region of attraction for a system with many nonlinearities.
title_short Method of estimating the region of attraction for a system with many nonlinearities.
title_full Method of estimating the region of attraction for a system with many nonlinearities.
title_fullStr Method of estimating the region of attraction for a system with many nonlinearities.
title_full_unstemmed Method of estimating the region of attraction for a system with many nonlinearities.
title_sort method of estimating the region of attraction for a system with many nonlinearities.
publisher University of British Columbia
publishDate 2011
url http://hdl.handle.net/2429/34265
work_keys_str_mv AT fosterwilliamrobert methodofestimatingtheregionofattractionforasystemwithmanynonlinearities
_version_ 1718595162426310656

Similar Items