Analytical formulation of the integral square error for linear stable feedback control system
The paper aims to introduce a method for the analytical formulation of the integral square error (ISE). In this manner, the aim of the research is to create a parametric solution of the ISE for linear continuous feedback control systems while the closed-loop system is stable and the difference betwe...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/41112/ http://psasir.upm.edu.my/id/eprint/41112/1/Analytical%20formulation%20of%20the%20integral%20square%20error%20for%20linear%20stable%20feedback%20control%20system.pdf |
| _version_ | 1848849607412416512 |
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| author | Shahemabadi, Ali Rafiei Mohd Noor, Samsul Bahari Taip, Farah Saleena |
| author_facet | Shahemabadi, Ali Rafiei Mohd Noor, Samsul Bahari Taip, Farah Saleena |
| author_sort | Shahemabadi, Ali Rafiei |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The paper aims to introduce a method for the analytical formulation of the integral square error (ISE). In this manner, the aim of the research is to create a parametric solution of the ISE for linear continuous feedback control systems while the closed-loop system is stable and the difference between reference and output, or error, is strictly proper. The potential advantage of this technique is that it allows the finding of an analytical solution for the ISE criterion and hence it is well adopted when a parametric solution of the ISE for optimal control problems is needed. This method is also superior to the numerical methods, because it returns the exact solution of the ISE. Comparisons with a powerful numerical method are given to validate the proposed method. |
| first_indexed | 2025-11-15T09:53:05Z |
| format | Conference or Workshop Item |
| id | upm-41112 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:53:05Z |
| publishDate | 2013 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-411122020-06-24T03:23:52Z http://psasir.upm.edu.my/id/eprint/41112/ Analytical formulation of the integral square error for linear stable feedback control system Shahemabadi, Ali Rafiei Mohd Noor, Samsul Bahari Taip, Farah Saleena The paper aims to introduce a method for the analytical formulation of the integral square error (ISE). In this manner, the aim of the research is to create a parametric solution of the ISE for linear continuous feedback control systems while the closed-loop system is stable and the difference between reference and output, or error, is strictly proper. The potential advantage of this technique is that it allows the finding of an analytical solution for the ISE criterion and hence it is well adopted when a parametric solution of the ISE for optimal control problems is needed. This method is also superior to the numerical methods, because it returns the exact solution of the ISE. Comparisons with a powerful numerical method are given to validate the proposed method. IEEE 2013 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/41112/1/Analytical%20formulation%20of%20the%20integral%20square%20error%20for%20linear%20stable%20feedback%20control%20system.pdf Shahemabadi, Ali Rafiei and Mohd Noor, Samsul Bahari and Taip, Farah Saleena (2013) Analytical formulation of the integral square error for linear stable feedback control system. In: 2013 IEEE International Conference on Control System, Computing and Engineering (ICCSCE 2013), 29 Nov.-1 Dec. 2013, Penang, Malaysia. (pp. 157-161). 10.1109/ICCSCE.2013.6719951 |
| spellingShingle | Shahemabadi, Ali Rafiei Mohd Noor, Samsul Bahari Taip, Farah Saleena Analytical formulation of the integral square error for linear stable feedback control system |
| title | Analytical formulation of the integral square error for linear stable feedback control system |
| title_full | Analytical formulation of the integral square error for linear stable feedback control system |
| title_fullStr | Analytical formulation of the integral square error for linear stable feedback control system |
| title_full_unstemmed | Analytical formulation of the integral square error for linear stable feedback control system |
| title_short | Analytical formulation of the integral square error for linear stable feedback control system |
| title_sort | analytical formulation of the integral square error for linear stable feedback control system |
| url | http://psasir.upm.edu.my/id/eprint/41112/ http://psasir.upm.edu.my/id/eprint/41112/ http://psasir.upm.edu.my/id/eprint/41112/1/Analytical%20formulation%20of%20the%20integral%20square%20error%20for%20linear%20stable%20feedback%20control%20system.pdf |