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

Department of Measurements and Control Systems (RAU/RAU2)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	2015 10th Asian Control Conference
Subtitle of host publication	Emerging Control Techniques for a Sustainable World, ASCC 2015
Editors	Hazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479978625
DOIs	https://doi.org/10.1109/ASCC.2015.7244463
Publication status	Published - 8 Sept 2015
Event	10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malaysia Duration: 31 May 2015 → 3 Jun 2015

Publication series

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

Conference

Conference	10th Asian Control Conference, ASCC 2015
Country/Territory	Malaysia
City	Kota Kinabalu
Period	31/05/15 → 3/06/15

Keywords

Fractional infinite-dimensional discrete-time
controllability
linear system
minimum energy control

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/ASCC.2015.7244463

Cite this

Klamka, J. (2015). Controllability and minimum energy control of fractional systems. In H. Selamat, H. R. H. Ramli, A. A. M. Faudzi, R. Z. A. Rahman, A. J. Ishak, A. C. Soh, & S. A. Ahmad (Eds.), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015 Article 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. editor / 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",

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Klamka, J 2015, Controllability and minimum energy control of fractional systems. in H Selamat, HRH Ramli, AAM Faudzi, RZA Rahman, AJ Ishak, AC Soh & SA Ahmad (eds), 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, Malaysia, 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. ed. / 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).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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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. In Selamat H, Ramli HRH, Faudzi AAM, Rahman RZA, Ishak AJ, Soh AC, Ahmad SA, editors, 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

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