Controllability and minimum energy control of fractional systems

Jerzy Klamka

doi:10.1109/ASCC.2015.7244463

Controllability and minimum energy control of fractional systems

Jerzy Klamka

Katedra Pomiarów i Systemów Sterowania (RAU/RAU2)

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

1 Cytowanie z bazy Scopus

Abstrakt

The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

Język oryginału	angielski
Tytuł publikacji goszczącej	2015 10th Asian Control Conference
Podtytuł publikacji goszczącej	Emerging Control Techniques for a Sustainable World, ASCC 2015
Redaktorzy	Hazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
Wydawca	Institute of Electrical and Electronics Engineers Inc.
ISBN (elektroniczny)	9781479978625
Identyfikatory DOI	https://doi.org/10.1109/ASCC.2015.7244463
Status publikacji	Opublikowano - 8 wrz 2015
Wydarzenie	10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malezja Czas trwania: 31 maj 2015 → 3 cze 2015

Seria publikacji

Nazwa	2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

Konferencja

Konferencja	10th Asian Control Conference, ASCC 2015
Kraj/Terytorium	Malezja
Miejscowość	Kota Kinabalu
Okres	31/05/15 → 3/06/15

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów

Uzyskaj dostęp do dokumentu

10.1109/ASCC.2015.7244463

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

Klamka, J. (2015). Controllability and minimum energy control of fractional systems. W H. Selamat, H. R. H. Ramli, A. A. M. Faudzi, R. Z. A. Rahman, A. J. Ishak, A. C. Soh, & S. A. Ahmad (Red.), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015 Artykułu 7244463 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2015.7244463

Klamka, Jerzy. / Controllability and minimum energy control of fractional systems. 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. redaktor / Hazlina Selamat ; Hafiz Rashidi Haruna Ramli ; Ahmad Athif Mohd Faudzi ; Ribhan Zafira Abdul Rahman ; Asnor Juraiza Ishak ; Azura Che Soh ; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

@inproceedings{ad89f83d49124e0680cfeb03587635e4,

title = "Controllability and minimum energy control of fractional systems",

abstract = "The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.",

keywords = "Fractional infinite-dimensional discrete-time, controllability, linear system, minimum energy control",

author = "Jerzy Klamka",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 10th Asian Control Conference, ASCC 2015 ; Conference date: 31-05-2015 Through 03-06-2015",

year = "2015",

month = sep,

day = "8",

doi = "10.1109/ASCC.2015.7244463",

language = "English",

series = "2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015",

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

editor = "Hazlina Selamat and Ramli, \{Hafiz Rashidi Haruna\} and Faudzi, \{Ahmad Athif Mohd\} and Rahman, \{Ribhan Zafira Abdul\} and Ishak, \{Asnor Juraiza\} and Soh, \{Azura Che\} and Ahmad, \{Siti Anom\}",

booktitle = "2015 10th Asian Control Conference",

address = "United States",

}

Klamka, J 2015, Controllability and minimum energy control of fractional systems. w H Selamat, HRH Ramli, AAM Faudzi, RZA Rahman, AJ Ishak, AC Soh & SA Ahmad (red), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015., 7244463, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015, Institute of Electrical and Electronics Engineers Inc., 10th Asian Control Conference, ASCC 2015, Kota Kinabalu, Malezja, 31/05/15. https://doi.org/10.1109/ASCC.2015.7244463

Controllability and minimum energy control of fractional systems. / Klamka, Jerzy.
2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. red. / Hazlina Selamat; Hafiz Rashidi Haruna Ramli; Ahmad Athif Mohd Faudzi; Ribhan Zafira Abdul Rahman; Asnor Juraiza Ishak; Azura Che Soh; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. 7244463 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

TY - GEN

T1 - Controllability and minimum energy control of fractional systems

AU - Klamka, Jerzy

PY - 2015/9/8

Y1 - 2015/9/8

N2 - The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

AB - The main purpose of the paper is to discuss controllability problem for fractional systems. Also, the minimum energy control problem of infinite-dimensional fractional-discrete time linear systems is addressed. Moreover, the necessary and sufficient conditions for the exact controllability of the system are established. Sufficient conditions for the solvability of the minimum energy control of the infinite-dimensional fractional discrete-time systems are given. Finally, a procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.

KW - Fractional infinite-dimensional discrete-time

KW - controllability

KW - linear system

KW - minimum energy control

UR - https://www.scopus.com/pages/publications/84957656069

U2 - 10.1109/ASCC.2015.7244463

DO - 10.1109/ASCC.2015.7244463

M3 - Conference contribution

AN - SCOPUS:84957656069

T3 - 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

BT - 2015 10th Asian Control Conference

A2 - Selamat, Hazlina

A2 - Ramli, Hafiz Rashidi Haruna

A2 - Faudzi, Ahmad Athif Mohd

A2 - Rahman, Ribhan Zafira Abdul

A2 - Ishak, Asnor Juraiza

A2 - Soh, Azura Che

A2 - Ahmad, Siti Anom

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th Asian Control Conference, ASCC 2015

Y2 - 31 May 2015 through 3 June 2015

ER -

Klamka J. Controllability and minimum energy control of fractional systems. W Selamat H, Ramli HRH, Faudzi AAM, Rahman RZA, Ishak AJ, Soh AC, Ahmad SA, redaktorzy, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. 7244463. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). doi: 10.1109/ASCC.2015.7244463

Controllability and minimum energy control of fractional systems

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

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Cytowanie