Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems

Eva Navarro Lopez; E.M. Navarro-Lopez; E. Fossas-Colet; D. Cortes

Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems

Eva Navarro Lopez, E.M. Navarro-Lopez, E. Fossas-Colet, D. Cortes

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

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Abstract

This paper is endeavoured to the problem of local feedback dissipativity andthe use of feedback dissipativity for stabilization purposes in the nonlinear discrete-time setting. Sufficient conditions under which a class of non-affine discrete-time control systems can be rendered locally dissipative are derived. A methodology in order to render nonlinear single-input single-output discrete-time systems locally dissipative is given, it is based on the feedback losslessness situation. The feedback dissipativity methodology proposed will be applied to an academic nonlinear example. Stability properties of a class of feedback dissipative systems are used for stabilization purposes in the example

Original language	English
Title of host publication	10th Latin American Congress of Automatic Control
Pages	1-6
Number of pages	6
Publication status	Published - Dec 2002
Event	10th Latin American Congress of Automatic Control - Guadalajara, Mexico Duration: 1 Jan 1824 → … http://www.cs.man.ac.uk/~navarroe/papers/enavarro_clca02.pdf

Conference

Conference	10th Latin American Congress of Automatic Control
City	Guadalajara, Mexico
Period	1/01/24 → …
Internet address	http://www.cs.man.ac.uk/~navarroe/papers/enavarro_clca02.pdf

Keywords

Discrete-time systems
Nonlinear systems
Energy control
Passive elements
Feedback stabilization

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title = "Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems",

abstract = "This paper is endeavoured to the problem of local feedback dissipativity andthe use of feedback dissipativity for stabilization purposes in the nonlinear discrete-time setting. Sufficient conditions under which a class of non-affine discrete-time control systems can be rendered locally dissipative are derived. A methodology in order to render nonlinear single-input single-output discrete-time systems locally dissipative is given, it is based on the feedback losslessness situation. The feedback dissipativity methodology proposed will be applied to an academic nonlinear example. Stability properties of a class of feedback dissipative systems are used for stabilization purposes in the example",

keywords = "Discrete-time systems, Nonlinear systems, Energy control, Passive elements, Feedback stabilization",

author = "{Navarro Lopez}, Eva and E.M. Navarro-Lopez and E. Fossas-Colet and D. Cortes",

year = "2002",

month = dec,

language = "English",

pages = "1--6",

booktitle = "10th Latin American Congress of Automatic Control",

note = "10th Latin American Congress of Automatic Control ; Conference date: 01-01-1824",

url = "http://www.cs.man.ac.uk/~navarroe/papers/enavarro_clca02.pdf",

}

Navarro Lopez, E, Navarro-Lopez, EM, Fossas-Colet, E & Cortes, D 2002, Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems. in 10th Latin American Congress of Automatic Control. pp. 1-6, 10th Latin American Congress of Automatic Control, Guadalajara, Mexico, 1/01/24. <http://www.cs.man.ac.uk/~navarroe/papers/enavarro_clca02.pdf>

TY - GEN

T1 - Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems

AU - Navarro Lopez, Eva

AU - Navarro-Lopez, E.M.

AU - Fossas-Colet, E.

AU - Cortes, D.

PY - 2002/12

Y1 - 2002/12

N2 - This paper is endeavoured to the problem of local feedback dissipativity andthe use of feedback dissipativity for stabilization purposes in the nonlinear discrete-time setting. Sufficient conditions under which a class of non-affine discrete-time control systems can be rendered locally dissipative are derived. A methodology in order to render nonlinear single-input single-output discrete-time systems locally dissipative is given, it is based on the feedback losslessness situation. The feedback dissipativity methodology proposed will be applied to an academic nonlinear example. Stability properties of a class of feedback dissipative systems are used for stabilization purposes in the example

AB - This paper is endeavoured to the problem of local feedback dissipativity andthe use of feedback dissipativity for stabilization purposes in the nonlinear discrete-time setting. Sufficient conditions under which a class of non-affine discrete-time control systems can be rendered locally dissipative are derived. A methodology in order to render nonlinear single-input single-output discrete-time systems locally dissipative is given, it is based on the feedback losslessness situation. The feedback dissipativity methodology proposed will be applied to an academic nonlinear example. Stability properties of a class of feedback dissipative systems are used for stabilization purposes in the example

KW - Discrete-time systems

KW - Nonlinear systems

KW - Energy control

KW - Passive elements

KW - Feedback stabilization

M3 - Conference contribution

SP - 1

EP - 6

BT - 10th Latin American Congress of Automatic Control

T2 - 10th Latin American Congress of Automatic Control

Y2 - 1 January 1824

ER -

Local feedback dissipativity and dissipativity-based stabilization of nonlinear discrete-time systems

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