Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise
This study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order linear continuous-time delaying switched systems. The approach is evaluated in terms of Lp norm performance, aiming to mitigate the challenges associa...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2024-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3553_bef22eae39c49afbf4ae3ff47ef15ace.pdf |
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| author | Omprakash Dewangan |
| author_facet | Omprakash Dewangan |
| author_sort | Omprakash Dewangan |
| collection | DOAJ |
| description | This study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order linear continuous-time delaying switched systems. The approach is evaluated in terms of Lp norm performance, aiming to mitigate the challenges associated with time delays in repetitive regulation of fractional-order linear systems. The generalised Young inequality of the convolution integral is used to leverage the resilience of the PDα-type approach in the iteration domain when the systems are perturbed by constrained external disturbances. We next analyse the convergence of the techniques for noise-free systems. The results demonstrate that it is feasible to guarantee both convergence and robustness over the duration of the experiment in certain situations. We study the convergence of error for the proposed class of fractional-order linear continuous-time delaying switched systems. |
| format | Article |
| id | doaj-art-b034db2c7e6e475bafc9f1065929f7ce |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-b034db2c7e6e475bafc9f1065929f7ce2025-08-20T03:28:54ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113230532010.22098/jhs.2024.15622.10353553Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noiseOmprakash Dewangan0Indira Gandhi Govt. College Pandaria, Distt.- Kabirdham, Hemchand Yadav Vishwavidyalaya Durg, Chhattisgarh, India - 491559.This study investigates the efficacy of a novel PDα-type fractional-order iterative learning control (FOILC) approach for a class of fractional-order linear continuous-time delaying switched systems. The approach is evaluated in terms of Lp norm performance, aiming to mitigate the challenges associated with time delays in repetitive regulation of fractional-order linear systems. The generalised Young inequality of the convolution integral is used to leverage the resilience of the PDα-type approach in the iteration domain when the systems are perturbed by constrained external disturbances. We next analyse the convergence of the techniques for noise-free systems. The results demonstrate that it is feasible to guarantee both convergence and robustness over the duration of the experiment in certain situations. We study the convergence of error for the proposed class of fractional-order linear continuous-time delaying switched systems.https://jhs.uma.ac.ir/article_3553_bef22eae39c49afbf4ae3ff47ef15ace.pdfiterative learning controlfractional order derivativeswitched systemriemann-liouville's fractional derivativecaputo derivativeyoung inequalityvoltera integral equation |
| spellingShingle | Omprakash Dewangan Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise Journal of Hyperstructures iterative learning control fractional order derivative switched system riemann-liouville's fractional derivative caputo derivative young inequality voltera integral equation |
| title | Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise |
| title_full | Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise |
| title_fullStr | Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise |
| title_full_unstemmed | Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise |
| title_short | Fractional order PDα-type ILC for linear continuous time-delay switched system with disturbance measurement and uncertainties noise |
| title_sort | fractional order pdα type ilc for linear continuous time delay switched system with disturbance measurement and uncertainties noise |
| topic | iterative learning control fractional order derivative switched system riemann-liouville's fractional derivative caputo derivative young inequality voltera integral equation |
| url | https://jhs.uma.ac.ir/article_3553_bef22eae39c49afbf4ae3ff47ef15ace.pdf |
| work_keys_str_mv | AT omprakashdewangan fractionalorderpdatypeilcforlinearcontinuoustimedelayswitchedsystemwithdisturbancemeasurementanduncertaintiesnoise |