Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems
Abstract: In this article, a novel observer has been designed for the online estimation of time delay in SISO-LTI continuous time systems with uncertain and time variant delay in the control input. It is obvious that Laplace transfer function of a delayed system includes a time delay factor. In this...
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| Format: | Article |
| Language: | fas |
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Semnan University
2020-05-01
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| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_4477_c67fef6cfc40de1d415d3e1369b0d56f.pdf |
| _version_ | 1797296554906746880 |
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| author | hadi chahkandi nejad mohsen farshad ramazan havangi |
| author_facet | hadi chahkandi nejad mohsen farshad ramazan havangi |
| author_sort | hadi chahkandi nejad |
| collection | DOAJ |
| description | Abstract: In this article, a novel observer has been designed for the online estimation of time delay in SISO-LTI continuous time systems with uncertain and time variant delay in the control input. It is obvious that Laplace transfer function of a delayed system includes a time delay factor. In this paper, it is assumed that the only uncertain and time variant parameter in the system is the very system’s time delay parameter. The main idea used in designing the proposed observer is based on the establishment of duality principle between controller and observer, such that a direct adaptive controller structure (MRAS) is indirectly used for designing an estimator. For this, the main sections in an MRAS control system are organized the way that designing the controller will lead to designing the delay estimator in dual problem. In fact, adaptation rule in designing the controller will express the same estimator mechanism in the dual problem. Also, in computing the estimation mechanism, the two methods, one based on Lyapunov Theory and the other based on MIT rule, are used. Eventually, simulation results are indicative of the rather desirable performance of the proposed estimator in dealing with uncertain and time varying delays. |
| first_indexed | 2024-03-07T22:06:27Z |
| format | Article |
| id | doaj.art-ba6148d021cb42e78637041b39319022 |
| institution | Directory Open Access Journal |
| issn | 2008-4854 2783-2538 |
| language | fas |
| last_indexed | 2024-03-07T22:06:27Z |
| publishDate | 2020-05-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj.art-ba6148d021cb42e78637041b393190222024-02-23T19:07:14ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382020-05-01186014315610.22075/jme.2019.17315.16964477Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systemshadi chahkandi nejad0mohsen farshad1ramazan havangi2Department of Electrical and Computer Engineering, University of Birjand, Birjand, IranDepartment of electrical and computer engineering, university of birjand, birjand, irandepartment of electrical and computer engineering, university of birjand, birjand, iranAbstract: In this article, a novel observer has been designed for the online estimation of time delay in SISO-LTI continuous time systems with uncertain and time variant delay in the control input. It is obvious that Laplace transfer function of a delayed system includes a time delay factor. In this paper, it is assumed that the only uncertain and time variant parameter in the system is the very system’s time delay parameter. The main idea used in designing the proposed observer is based on the establishment of duality principle between controller and observer, such that a direct adaptive controller structure (MRAS) is indirectly used for designing an estimator. For this, the main sections in an MRAS control system are organized the way that designing the controller will lead to designing the delay estimator in dual problem. In fact, adaptation rule in designing the controller will express the same estimator mechanism in the dual problem. Also, in computing the estimation mechanism, the two methods, one based on Lyapunov Theory and the other based on MIT rule, are used. Eventually, simulation results are indicative of the rather desirable performance of the proposed estimator in dealing with uncertain and time varying delays.https://modelling.semnan.ac.ir/article_4477_c67fef6cfc40de1d415d3e1369b0d56f.pdfduality principlelti systemsinput time varying delayuncertaintydelay estimatoradaptation rule |
| spellingShingle | hadi chahkandi nejad mohsen farshad ramazan havangi Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems مجله مدل سازی در مهندسی duality principle lti systems input time varying delay uncertainty delay estimator adaptation rule |
| title | Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems |
| title_full | Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems |
| title_fullStr | Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems |
| title_full_unstemmed | Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems |
| title_short | Design of an Estimator Based on Duality Principle for Unknown and Time-varying Delay Estimation in LTI Systems |
| title_sort | design of an estimator based on duality principle for unknown and time varying delay estimation in lti systems |
| topic | duality principle lti systems input time varying delay uncertainty delay estimator adaptation rule |
| url | https://modelling.semnan.ac.ir/article_4477_c67fef6cfc40de1d415d3e1369b0d56f.pdf |
| work_keys_str_mv | AT hadichahkandinejad designofanestimatorbasedondualityprincipleforunknownandtimevaryingdelayestimationinltisystems AT mohsenfarshad designofanestimatorbasedondualityprincipleforunknownandtimevaryingdelayestimationinltisystems AT ramazanhavangi designofanestimatorbasedondualityprincipleforunknownandtimevaryingdelayestimationinltisystems |