An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric
In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. Then, the ability o...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | fas |
| Published: |
Semnan University
2024-08-01
|
| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_8370_4b6e395c45c9b4cd7dc3c079d3852a03.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841527684712103936 |
|---|---|
| author | Mahdi Ahmadi |
| author_facet | Mahdi Ahmadi |
| author_sort | Mahdi Ahmadi |
| collection | DOAJ |
| description | In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. Then, the ability of each local linear model is investigated to stabilize all linear models. A criterion is proposed to measure the nonlinearity of nonlinear system based on gap metric and maximum stability margin values which bounded between 0 and 1. Unlike most of the current nonlinearity measurement, the proposed method could be used for both integrating and unstable nonlinear systems. Besides, the presented method supplies to distinguish that a single linear controller is adequate to control the nonlinear system or it is necessary to employ the multi-model based controllers design methods. Therefore, the redundancy problem could be avoided by employing the proposed method. A nonlinear Continues Stirred Reactor Tank (CSTR) process is studied that the results confirm the capability of presented nonlinearity assessment method.. |
| format | Article |
| id | doaj-art-7d55b5e942844f968f9d049610552403 |
| institution | Kabale University |
| issn | 2008-4854 2783-2538 |
| language | fas |
| publishDate | 2024-08-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj-art-7d55b5e942844f968f9d0496105524032025-01-15T08:15:49ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382024-08-01227726127110.22075/jme.2023.30975.24738370An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap MetricMahdi Ahmadi0Assistant Professor,Faculty of Electrical and Computer Engineering, Esfarayen University of Technology, North-Khorasan, Iran.In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. Then, the ability of each local linear model is investigated to stabilize all linear models. A criterion is proposed to measure the nonlinearity of nonlinear system based on gap metric and maximum stability margin values which bounded between 0 and 1. Unlike most of the current nonlinearity measurement, the proposed method could be used for both integrating and unstable nonlinear systems. Besides, the presented method supplies to distinguish that a single linear controller is adequate to control the nonlinear system or it is necessary to employ the multi-model based controllers design methods. Therefore, the redundancy problem could be avoided by employing the proposed method. A nonlinear Continues Stirred Reactor Tank (CSTR) process is studied that the results confirm the capability of presented nonlinearity assessment method..https://modelling.semnan.ac.ir/article_8370_4b6e395c45c9b4cd7dc3c079d3852a03.pdfnonlinear systemnonlinearity assessmentcontrollergap metricmaximum stability margin |
| spellingShingle | Mahdi Ahmadi An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric مجله مدل سازی در مهندسی nonlinear system nonlinearity assessment controller gap metric maximum stability margin |
| title | An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric |
| title_full | An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric |
| title_fullStr | An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric |
| title_full_unstemmed | An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric |
| title_short | An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric |
| title_sort | applicable control relevant method for nonlinearity assessment using gap metric |
| topic | nonlinear system nonlinearity assessment controller gap metric maximum stability margin |
| url | https://modelling.semnan.ac.ir/article_8370_4b6e395c45c9b4cd7dc3c079d3852a03.pdf |
| work_keys_str_mv | AT mahdiahmadi anapplicablecontrolrelevantmethodfornonlinearityassessmentusinggapmetric AT mahdiahmadi applicablecontrolrelevantmethodfornonlinearityassessmentusinggapmetric |