Modelling of multivariable systems using advance fuzzy arithmetic
Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space mod...
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my-utm-ep.1024222023-08-28T06:30:26Z Modelling of multivariable systems using advance fuzzy arithmetic 2019 Wan Mohamad, Wan Munirah QA Mathematics Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space modelling of several multivariable systems using fuzzy arithmetic based on the TM are presented. The TM is used to evaluate the state space model equations and to quantify the influence of each parameter of a given system. As a result, the value of its gain factors is calculated to allow the estimation of the relative measures of the uncertainty. A software, called, FAMOUS (Fuzzy Arithmetical Modelling of Uncertain Systems) is customized to illustrate the effectiveness of fuzzy arithmetic based on the TM. Moreover, the analytical solutions of state equations of these systems are obtained. The effectiveness of the method is shown by implementing it to the state space model of components in power plants (steam turbine and boiler) and nuclear power plants (steam generator and pressurizer). The computation time is reduced once the analytical solutions are determined for the systems. Furthermore, the influences of the uncertain parameters are obtained by simulations. 2019 Thesis http://eprints.utm.my/id/eprint/102422/ http://eprints.utm.my/id/eprint/102422/1/WanMunirahPFS2019.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145982 phd doctoral Universiti Teknologi Malaysia Faculty of Science |
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UTM Institutional Repository |
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English |
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QA Mathematics |
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QA Mathematics Wan Mohamad, Wan Munirah Modelling of multivariable systems using advance fuzzy arithmetic |
| description |
Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space modelling of several multivariable systems using fuzzy arithmetic based on the TM are presented. The TM is used to evaluate the state space model equations and to quantify the influence of each parameter of a given system. As a result, the value of its gain factors is calculated to allow the estimation of the relative measures of the uncertainty. A software, called, FAMOUS (Fuzzy Arithmetical Modelling of Uncertain Systems) is customized to illustrate the effectiveness of fuzzy arithmetic based on the TM. Moreover, the analytical solutions of state equations of these systems are obtained. The effectiveness of the method is shown by implementing it to the state space model of components in power plants (steam turbine and boiler) and nuclear power plants (steam generator and pressurizer). The computation time is reduced once the analytical solutions are determined for the systems. Furthermore, the influences of the uncertain parameters are obtained by simulations. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Wan Mohamad, Wan Munirah |
| author_facet |
Wan Mohamad, Wan Munirah |
| author_sort |
Wan Mohamad, Wan Munirah |
| title |
Modelling of multivariable systems using advance fuzzy arithmetic |
| title_short |
Modelling of multivariable systems using advance fuzzy arithmetic |
| title_full |
Modelling of multivariable systems using advance fuzzy arithmetic |
| title_fullStr |
Modelling of multivariable systems using advance fuzzy arithmetic |
| title_full_unstemmed |
Modelling of multivariable systems using advance fuzzy arithmetic |
| title_sort |
modelling of multivariable systems using advance fuzzy arithmetic |
| granting_institution |
Universiti Teknologi Malaysia |
| granting_department |
Faculty of Science |
| publishDate |
2019 |
| url |
http://eprints.utm.my/id/eprint/102422/1/WanMunirahPFS2019.pdf.pdf |
| _version_ |
1776100919203594240 |