Analysis of discrete-time nonlinear ℓ2-gain bounds via dynamic programming

Duc N. Tran; Christopher M. Kellett; Peter M. Dower

doi:10.1109/AUCC.2016.7868004

Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming

Duc N. Tran, Christopher M. Kellett, Peter M. Dower

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

Abstract

In the input-output framework, the notion of nonlinear ℓ₂-gain extends the classical (linear) finite ℓ₂-gain in order to apply ℓ₂-gain analysis techniques to a larger class of nonlinear systems. Obtaining tight estimates of the comparison function bounds for the nonlinear ℓ₂-gain property is particularly important in small gain design. In this paper, we present two optimisation-based formulations that characterise these bounds for discrete-time nonlinear systems satisfying the nonlinear ℓ₂-gain property via dynamic programming.

Original language	English
Title of host publication	2016 Australian Control Conference, AuCC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	66-70
Number of pages	5
ISBN (Electronic)	9781922107909
DOIs	https://doi.org/10.1109/AUCC.2016.7868004
Publication status	Published - 1 Mar 2017
Externally published	Yes
Event	2016 Australian Control Conference, AuCC 2016 - Newcastle, Australia Duration: 3 Nov 2016 → 4 Nov 2016

Publication series

Name	2016 Australian Control Conference, AuCC 2016

Conference

Conference	2016 Australian Control Conference, AuCC 2016
Country/Territory	Australia
City	Newcastle
Period	3/11/16 → 4/11/16

Access to Document

10.1109/AUCC.2016.7868004

Cite this

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title = "Analysis of discrete-time nonlinear ℓ2-gain bounds via dynamic programming",

abstract = "In the input-output framework, the notion of nonlinear ℓ2-gain extends the classical (linear) finite ℓ2-gain in order to apply ℓ2-gain analysis techniques to a larger class of nonlinear systems. Obtaining tight estimates of the comparison function bounds for the nonlinear ℓ2-gain property is particularly important in small gain design. In this paper, we present two optimisation-based formulations that characterise these bounds for discrete-time nonlinear systems satisfying the nonlinear ℓ2-gain property via dynamic programming.",

author = "Tran, {Duc N.} and Kellett, {Christopher M.} and Dower, {Peter M.}",

note = "Publisher Copyright: {\textcopyright} 2016 Engineers Australia.; 2016 Australian Control Conference, AuCC 2016 ; Conference date: 03-11-2016 Through 04-11-2016",

year = "2017",

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doi = "10.1109/AUCC.2016.7868004",

language = "English",

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Tran, DN, Kellett, CM & Dower, PM 2017, Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming. in 2016 Australian Control Conference, AuCC 2016., 7868004, 2016 Australian Control Conference, AuCC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 66-70, 2016 Australian Control Conference, AuCC 2016, Newcastle, Australia, 3/11/16. https://doi.org/10.1109/AUCC.2016.7868004

Analysis of discrete-time nonlinear ℓ₂-gain bounds via dynamic programming. / Tran, Duc N.; Kellett, Christopher M.; Dower, Peter M.
2016 Australian Control Conference, AuCC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 66-70 7868004 (2016 Australian Control Conference, AuCC 2016).

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

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