Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems

Aditya A. Paranjape; Soon-Jo Chung

doi:10.1109/CDC.2014.7039702

Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems

Aditya A. Paranjape, Soon-Jo Chung

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

3 Citations (Scopus)

Abstract

This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	2065-2070
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039702
Publication status	Published - 2014
Externally published	Yes
Event	IEEE Conference on Decision and Control 2014 - J.W. Marriott Hotel, Los Angeles, United States of America Duration: 15 Dec 2014 → 17 Dec 2014 Conference number: 53rd http://cdc2014.ieeecss.org/cfp.php https://ieeexplore.ieee.org/xpl/conhome/7027307/proceeding (Proceedings)

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	IEEE Conference on Decision and Control 2014
Abbreviated title	CDC 2014
Country/Territory	United States of America
City	Los Angeles
Period	15/12/14 → 17/12/14
Internet address	http://cdc2014.ieeecss.org/cfp.php https://ieeexplore.ieee.org/xpl/conhome/7027307/proceeding (Proceedings)

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10.1109/CDC.2014.7039702

Cite this

Paranjape, A. A., & Chung, S.-J. (2014). Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 2065-2070). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2014.7039702

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title = "Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems",

abstract = "This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.",

author = "Paranjape, {Aditya A.} and Soon-Jo Chung",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; IEEE Conference on Decision and Control 2014, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7039702",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

number = "February",

pages = "2065--2070",

booktitle = "53rd IEEE Conference on Decision and Control,CDC 2014",

address = "United States of America",

edition = "February",

url = "http://cdc2014.ieeecss.org/cfp.php, https://ieeexplore.ieee.org/xpl/conhome/7027307/proceeding",

}

Paranjape, AA & Chung, S-J 2014, Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, IEEE, Institute of Electrical and Electronics Engineers, pp. 2065-2070, IEEE Conference on Decision and Control 2014, Los Angeles, California, United States of America, 15/12/14. https://doi.org/10.1109/CDC.2014.7039702

Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems. / Paranjape, Aditya A.; Chung, Soon-Jo.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. IEEE, Institute of Electrical and Electronics Engineers, 2014. p. 2065-2070 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

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AU - Paranjape, Aditya A.

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N2 - This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.

AB - This paper presents the general theory of the dyadic perturbation observer framework as a generic method for controlling a class of nonlinear systems described by partial and/or ordinary differential equations. The method is particularly applicable to boundary control problems for systems described by partial differential equations. Conditions for closed-loop stability and robustness are derived using finite-gain L stability theory, and the results are further specialized for finite dimensional systems.

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BT - 53rd IEEE Conference on Decision and Control,CDC 2014

PB - IEEE, Institute of Electrical and Electronics Engineers

T2 - IEEE Conference on Decision and Control 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

Dyadic perturbation observer framework for control of a class of nonlinear PDE/ODE systems

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