Implementing nonlinear controllers using observer-form via kernel Representations

Sung H. Cha; Arvin Dehghani; Brian D.O. Anderson

doi:10.1109/MED.2009.5164530

Implementing nonlinear controllers using observer-form via kernel Representations

Sung H. Cha, Arvin Dehghani, Brian D.O. Anderson

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

Abstract

We propose a connection between the state-space realization and 'observer-like' property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing 'kernel representation' of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.

Original language	English
Title of host publication	2009 17th Mediterranean Conference on Control and Automation
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	145-150
ISBN (Electronic)	978-1-4244-4685-8
ISBN (Print)	978-1-4244-4684-1
DOIs	https://doi.org/10.1109/MED.2009.5164530
Publication status	Published - 2009
Event	2009 17th Mediterranean Conference on Control and Automation - Thessaloniki, Greece Duration: 24 Jun 2009 → 26 Jun 2009

Conference

Conference	2009 17th Mediterranean Conference on Control and Automation
Abbreviated title	MED 2009
Country/Territory	Greece
City	Thessaloniki
Period	24/06/09 → 26/06/09

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10.1109/MED.2009.5164530

Cite this

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title = "Implementing nonlinear controllers using observer-form via kernel Representations",

abstract = "We propose a connection between the state-space realization and 'observer-like' property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing 'kernel representation' of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.",

author = "Cha, \{Sung H.\} and Arvin Dehghani and Anderson, \{Brian D.O.\}",

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doi = "10.1109/MED.2009.5164530",

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

address = "United States",

note = "2009 17th Mediterranean Conference on Control and Automation, MED 2009 ; Conference date: 24-06-2009 Through 26-06-2009",

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Cha, SH, Dehghani, A & Anderson, BDO 2009, Implementing nonlinear controllers using observer-form via kernel Representations. in 2009 17th Mediterranean Conference on Control and Automation. Institute of Electrical and Electronics Engineers Inc., pp. 145-150, 2009 17th Mediterranean Conference on Control and Automation, Thessaloniki, Greece, 24/06/09. https://doi.org/10.1109/MED.2009.5164530

Implementing nonlinear controllers using observer-form via kernel Representations. / Cha, Sung H.; Dehghani, Arvin; Anderson, Brian D.O.
2009 17th Mediterranean Conference on Control and Automation. Institute of Electrical and Electronics Engineers Inc., 2009. p. 145-150.

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

TY - GEN

T1 - Implementing nonlinear controllers using observer-form via kernel Representations

AU - Cha, Sung H.

AU - Dehghani, Arvin

AU - Anderson, Brian D.O.

PY - 2009

Y1 - 2009

N2 - We propose a connection between the state-space realization and 'observer-like' property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing 'kernel representation' of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.

AB - We propose a connection between the state-space realization and 'observer-like' property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing 'kernel representation' of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.

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U2 - 10.1109/MED.2009.5164530

DO - 10.1109/MED.2009.5164530

M3 - Conference Paper

SN - 978-1-4244-4684-1

SP - 145

EP - 150

BT - 2009 17th Mediterranean Conference on Control and Automation

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2009 17th Mediterranean Conference on Control and Automation

Y2 - 24 June 2009 through 26 June 2009

ER -

Implementing nonlinear controllers using observer-form via kernel Representations

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