Observer design for lipschitz nonlinear systems with time-varying output and state delays

Raafia Majeed; Sohaira Ahmad; Muhammad Rehan

doi:10.1109/ASCC.2015.7244671

Observer design for lipschitz nonlinear systems with time-varying output and state delays

Raafia Majeed
, Sohaira Ahmad
, Muhammad Rehan

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

1 Scopus citations

Abstract

This research paper deals with a novel delay-range-dependent approach for observer design for systems with time-varying delay in the state variables and the output measurement vector. Lyapunov Karasovskii (LK) functional, Jensen's inequality and linear matrix inequality(LMI) tools are employed to derive the stability conditions ensuring the state estimation error to asymptotically converge to the origin. Further, as particular cases of proposed design methodology, delay-range-dependent design conditions are separately deduced for systems with state delays or output delays. Numerical example is simulated to validate the efficiency of the derived results.

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.2015.7244671
State	Published - 8 Sep 2015
Externally published	Yes

Publication series

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

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1109/ASCC.2015.7244671

Cite this

Majeed, R., Ahmad, S., & Rehan, M. (2015). Observer design for lipschitz nonlinear systems with time-varying output and state delays. 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 7244671 (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.2015.7244671

Majeed, Raafia ; Ahmad, Sohaira ; Rehan, Muhammad. / Observer design for lipschitz nonlinear systems with time-varying output and state delays. 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{fa1298eaab6448558fd981b2a1a01e60,

title = "Observer design for lipschitz nonlinear systems with time-varying output and state delays",

abstract = "This research paper deals with a novel delay-range-dependent approach for observer design for systems with time-varying delay in the state variables and the output measurement vector. Lyapunov Karasovskii (LK) functional, Jensen's inequality and linear matrix inequality(LMI) tools are employed to derive the stability conditions ensuring the state estimation error to asymptotically converge to the origin. Further, as particular cases of proposed design methodology, delay-range-dependent design conditions are separately deduced for systems with state delays or output delays. Numerical example is simulated to validate the efficiency of the derived results.",

author = "Raafia Majeed and Sohaira Ahmad and Muhammad Rehan",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.",

year = "2015",

month = sep,

day = "8",

doi = "10.1109/ASCC.2015.7244671",

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",

}

Majeed, R, Ahmad, S & Rehan, M 2015, Observer design for lipschitz nonlinear systems with time-varying output and state delays. 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., 7244671, 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.2015.7244671

Observer design for lipschitz nonlinear systems with time-varying output and state delays. / Majeed, Raafia; Ahmad, Sohaira; Rehan, Muhammad.
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. 7244671 (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

TY - GEN

T1 - Observer design for lipschitz nonlinear systems with time-varying output and state delays

AU - Majeed, Raafia

AU - Ahmad, Sohaira

AU - Rehan, Muhammad

PY - 2015/9/8

Y1 - 2015/9/8

N2 - This research paper deals with a novel delay-range-dependent approach for observer design for systems with time-varying delay in the state variables and the output measurement vector. Lyapunov Karasovskii (LK) functional, Jensen's inequality and linear matrix inequality(LMI) tools are employed to derive the stability conditions ensuring the state estimation error to asymptotically converge to the origin. Further, as particular cases of proposed design methodology, delay-range-dependent design conditions are separately deduced for systems with state delays or output delays. Numerical example is simulated to validate the efficiency of the derived results.

AB - This research paper deals with a novel delay-range-dependent approach for observer design for systems with time-varying delay in the state variables and the output measurement vector. Lyapunov Karasovskii (LK) functional, Jensen's inequality and linear matrix inequality(LMI) tools are employed to derive the stability conditions ensuring the state estimation error to asymptotically converge to the origin. Further, as particular cases of proposed design methodology, delay-range-dependent design conditions are separately deduced for systems with state delays or output delays. Numerical example is simulated to validate the efficiency of the derived results.

UR - https://www.scopus.com/pages/publications/84957621121

U2 - 10.1109/ASCC.2015.7244671

DO - 10.1109/ASCC.2015.7244671

M3 - Conference contribution

AN - SCOPUS:84957621121

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.

ER -

Majeed R, Ahmad S, Rehan M. Observer design for lipschitz nonlinear systems with time-varying output and state delays. 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. 7244671. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). doi: 10.1109/ASCC.2015.7244671

Observer design for lipschitz nonlinear systems with time-varying output and state delays

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this