Adaptive observer‐based control for fractional‐order chaotic MEMS system
Abstract This paper proposes an adaptive observer‐based scheme to control fractional‐order chaotic micro‐electro‐mechanical‐systems (MEMS). The fractional‐order model of a system exhibits the dynamic behaviour of a physical system more accurately than a similar integer‐order one. An observer‐based c...
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| Format: | Article |
| Language: | English |
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Wiley
2023-07-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12495 |
| _version_ | 1797782546668322816 |
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| author | Zahra Yaghoubi Mahdieh Adeli |
| author_facet | Zahra Yaghoubi Mahdieh Adeli |
| author_sort | Zahra Yaghoubi |
| collection | DOAJ |
| description | Abstract This paper proposes an adaptive observer‐based scheme to control fractional‐order chaotic micro‐electro‐mechanical‐systems (MEMS). The fractional‐order model of a system exhibits the dynamic behaviour of a physical system more accurately than a similar integer‐order one. An observer‐based control considering the unknown parameters is presented for a fractional‐order chaotic micro‐electro‐mechanical‐system. To handle the existence of the unknown parameters, the control law consists of both estimated parameters and also estimated states that have been designed. First, a fractional‐order observer is designed to estimate the state variables. The asymptotic convergence to zero of the estimation state error is proved using the Lyapunov scheme. After that, with the designed observer as a foundation, adaptive control is expanded for the closed‐loop system to ensure its asymptotic stability. An evaluation of the proposed method shows its efficacy via simulations for two case studies. |
| first_indexed | 2024-03-13T00:12:28Z |
| format | Article |
| id | doaj.art-4e200faf30334015978ab448c42dce93 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-03-13T00:12:28Z |
| publishDate | 2023-07-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-4e200faf30334015978ab448c42dce932023-07-12T10:20:01ZengWileyIET Control Theory & Applications1751-86441751-86522023-07-0117111586159810.1049/cth2.12495Adaptive observer‐based control for fractional‐order chaotic MEMS systemZahra Yaghoubi0Mahdieh Adeli1Computer Engineering Imam Khomeini International University Qazvin IranDepartment of Electrical and Computer Engineering University of Kashan Kashan IranAbstract This paper proposes an adaptive observer‐based scheme to control fractional‐order chaotic micro‐electro‐mechanical‐systems (MEMS). The fractional‐order model of a system exhibits the dynamic behaviour of a physical system more accurately than a similar integer‐order one. An observer‐based control considering the unknown parameters is presented for a fractional‐order chaotic micro‐electro‐mechanical‐system. To handle the existence of the unknown parameters, the control law consists of both estimated parameters and also estimated states that have been designed. First, a fractional‐order observer is designed to estimate the state variables. The asymptotic convergence to zero of the estimation state error is proved using the Lyapunov scheme. After that, with the designed observer as a foundation, adaptive control is expanded for the closed‐loop system to ensure its asymptotic stability. An evaluation of the proposed method shows its efficacy via simulations for two case studies.https://doi.org/10.1049/cth2.12495adaptive controladaptive estimationchaoscontrol nonlinearitiesfractalsnon‐linear control systems |
| spellingShingle | Zahra Yaghoubi Mahdieh Adeli Adaptive observer‐based control for fractional‐order chaotic MEMS system IET Control Theory & Applications adaptive control adaptive estimation chaos control nonlinearities fractals non‐linear control systems |
| title | Adaptive observer‐based control for fractional‐order chaotic MEMS system |
| title_full | Adaptive observer‐based control for fractional‐order chaotic MEMS system |
| title_fullStr | Adaptive observer‐based control for fractional‐order chaotic MEMS system |
| title_full_unstemmed | Adaptive observer‐based control for fractional‐order chaotic MEMS system |
| title_short | Adaptive observer‐based control for fractional‐order chaotic MEMS system |
| title_sort | adaptive observer based control for fractional order chaotic mems system |
| topic | adaptive control adaptive estimation chaos control nonlinearities fractals non‐linear control systems |
| url | https://doi.org/10.1049/cth2.12495 |
| work_keys_str_mv | AT zahrayaghoubi adaptiveobserverbasedcontrolforfractionalorderchaoticmemssystem AT mahdiehadeli adaptiveobserverbasedcontrolforfractionalorderchaoticmemssystem |