Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems

Zeinab Zolfaghari; Mahdi Baradarannia; Farzad Hashemzadeh; Sehraneh Ghaemi

doi:10.1109/ISCMI.2016.49

Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems

Zeinab Zolfaghari, Mahdi Baradarannia, Farzad Hashemzadeh, Sehraneh Ghaemi

University of Tabriz

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

2 Atıf (Scopus)

Özet

In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016
Yayınlayan	Institute of Electrical and Electronics Engineers Inc.
Sayfalar	229-233
Sayfa sayısı	5
ISBN (Elektronik)	9781509036967
DOI'lar	https://doi.org/10.1109/ISCMI.2016.49
Yayın durumu	Yayınlandı - 2 Eki 2017
Harici olarak yayınlandı	Evet
Etkinlik	3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016 - Dubai, United Arab Emirates Süre: 23 Kas 2016 → 25 Kas 2016

Yayın serisi

Adı	Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016
Ülke/Bölge	United Arab Emirates
Şehir	Dubai
Periyot	23/11/16 → 25/11/16

Bibliyografik not

Publisher Copyright:
© 2016 IEEE.

Belgeye Erişim

10.1109/ISCMI.2016.49

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Zolfaghari, Z., Baradarannia, M., Hashemzadeh, F., & Ghaemi, S. (2017). Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems. In Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016 (pp. 229-233). Makale 8057472 (Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCMI.2016.49

Zolfaghari, Zeinab ; Baradarannia, Mahdi ; Hashemzadeh, Farzad et al. / Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems. Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 229-233 (Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016).

@inproceedings{1eb8948f4c6649f88599b98be5f6e382,

title = "Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems",

abstract = "In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.",

keywords = "Caputo fractional systems, switching curve, Time optimal control",

author = "Zeinab Zolfaghari and Mahdi Baradarannia and Farzad Hashemzadeh and Sehraneh Ghaemi",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016 ; Conference date: 23-11-2016 Through 25-11-2016",

year = "2017",

month = oct,

day = "2",

doi = "10.1109/ISCMI.2016.49",

language = "English",

series = "Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "229--233",

booktitle = "Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016",

address = "United States",

}

Zolfaghari, Z, Baradarannia, M, Hashemzadeh, F & Ghaemi, S 2017, Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems. in Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016., 8057472, Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016, Institute of Electrical and Electronics Engineers Inc., pp. 229-233, 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016, Dubai, United Arab Emirates, 23/11/16. https://doi.org/10.1109/ISCMI.2016.49

Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems. / Zolfaghari, Zeinab; Baradarannia, Mahdi; Hashemzadeh, Farzad et al.
Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 229-233 8057472 (Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016).

Araştırma sonucu: ???type-name??? › Konferans katkısı › bilirkişi

TY - GEN

T1 - Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems

AU - Zolfaghari, Zeinab

AU - Baradarannia, Mahdi

AU - Hashemzadeh, Farzad

AU - Ghaemi, Sehraneh

PY - 2017/10/2

Y1 - 2017/10/2

N2 - In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.

AB - In this paper we present a method for fractional time optimal control problems in terms of Caputo fractional derivatives. The studies up to now are about systems in terms of Riemann-Liouville fractional derivatives. But in this paper we investigated Caputo fractional systems. Firstly, by utilizing matrix approach method to discrete fractional derivatives, fractional Caputo derivative is solved. Then, the original problem is solved by traditional optimal problem solvers. Finally, time optimal problem is studied for a double fractional integrator and a method for obtaining switching curve has presented.

KW - Caputo fractional systems

KW - switching curve

KW - Time optimal control

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U2 - 10.1109/ISCMI.2016.49

DO - 10.1109/ISCMI.2016.49

M3 - Conference contribution

AN - SCOPUS:85034667041

T3 - Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016

SP - 229

EP - 233

BT - Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016

Y2 - 23 November 2016 through 25 November 2016

ER -

Zolfaghari Z, Baradarannia M, Hashemzadeh F, Ghaemi S. Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems. In Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016. Institute of Electrical and Electronics Engineers Inc. 2017. p. 229-233. 8057472. (Proceedings - 2016 3rd International Conference on Soft Computing and Machine Intelligence, ISCMI 2016). doi: 10.1109/ISCMI.2016.49

Time Optimal Control and Switching Curve Analysis for Caputo Fractional Systems

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