Modeling nonlinear systems using multiple piecewise linear equations
This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system. The nonlinearity in the target system must be a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2010-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14317 |
| _version_ | 1818337497797623808 |
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| author | G. K. Lowe M. A. Zohdy |
| author_facet | G. K. Lowe M. A. Zohdy |
| author_sort | G. K. Lowe |
| collection | DOAJ |
| description | This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system. The nonlinearity in the target system must be able to be represented as a piecewise linear function. A simple third order nonlinear system is used to demonstrate the technique. The behavior of the modeled system is compared to the behavior of the nonlinear system. |
| first_indexed | 2024-12-13T14:56:10Z |
| format | Article |
| id | doaj.art-5da9d93f13e54483ab31f7a13bf92869 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T14:56:10Z |
| publishDate | 2010-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-5da9d93f13e54483ab31f7a13bf928692022-12-21T23:41:14ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-10-0115410.15388/NA.15.4.14317Modeling nonlinear systems using multiple piecewise linear equationsG. K. Lowe0M. A. Zohdy1Oakland University, USAOakland University, USAThis paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system. The nonlinearity in the target system must be able to be represented as a piecewise linear function. A simple third order nonlinear system is used to demonstrate the technique. The behavior of the modeled system is compared to the behavior of the nonlinear system.http://www.journals.vu.lt/nonlinear-analysis/article/view/14317nonlinear systemspiecewise linear modeling |
| spellingShingle | G. K. Lowe M. A. Zohdy Modeling nonlinear systems using multiple piecewise linear equations Nonlinear Analysis nonlinear systems piecewise linear modeling |
| title | Modeling nonlinear systems using multiple piecewise linear equations |
| title_full | Modeling nonlinear systems using multiple piecewise linear equations |
| title_fullStr | Modeling nonlinear systems using multiple piecewise linear equations |
| title_full_unstemmed | Modeling nonlinear systems using multiple piecewise linear equations |
| title_short | Modeling nonlinear systems using multiple piecewise linear equations |
| title_sort | modeling nonlinear systems using multiple piecewise linear equations |
| topic | nonlinear systems piecewise linear modeling |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14317 |
| work_keys_str_mv | AT gklowe modelingnonlinearsystemsusingmultiplepiecewiselinearequations AT mazohdy modelingnonlinearsystemsusingmultiplepiecewiselinearequations |