Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting

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

Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting

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

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

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Abstract

Necessary and sufficient conditions for a class of dissipative nonlinear multiinputmulti-output discrete-time systems are given. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Feedback passivity is solved for a class of multi-input multi-output nonlinear discrete-time systems affine in the control input using the properties of the relative degree and zero dynamics of the non-passive system. This is the first solution presented in the literature to such a problem in the discrete-time setting. The passification methodology is illustrated bymeans of an example.

Original language	English
Title of host publication	15th IFAC Triennial World Congress
Publisher	International Federation of Automatic Control (IFAC)
Pages	1-6
Number of pages	6
Volume	1
ISBN (Print)	0-08-044232-3
Publication status	Published - Jul 2002
Event	15th IFAC Triennial World Congress - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 http://www.cs.man.ac.uk/~navarroe/papers/enavarro_ifac02_2.pdf

Conference

Conference	15th IFAC Triennial World Congress
City	Barcelona, Spain
Period	21/07/02 → 26/07/02
Internet address	http://www.cs.man.ac.uk/~navarroe/papers/enavarro_ifac02_2.pdf

Keywords

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

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@inproceedings{05c177dab4cf4f7a9bb07473510391ed,

title = "Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting",

abstract = "Necessary and sufficient conditions for a class of dissipative nonlinear multiinputmulti-output discrete-time systems are given. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Feedback passivity is solved for a class of multi-input multi-output nonlinear discrete-time systems affine in the control input using the properties of the relative degree and zero dynamics of the non-passive system. This is the first solution presented in the literature to such a problem in the discrete-time setting. The passification methodology is illustrated bymeans of an example.",

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

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

note = "Nominated for best young paper award.; 15th IFAC Triennial World Congress ; Conference date: 21-07-2002 Through 26-07-2002",

year = "2002",

month = jul,

language = "English",

isbn = "0-08-044232-3",

volume = "1",

pages = "1--6",

booktitle = "15th IFAC Triennial World Congress",

publisher = "International Federation of Automatic Control (IFAC)",

address = "Austria",

url = "http://www.cs.man.ac.uk/~navarroe/papers/enavarro_ifac02_2.pdf",

}

Navarro Lopez, E, Navarro-Lopez, EM & Fossas-Colet, E 2002, Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting. in 15th IFAC Triennial World Congress. vol. 1, International Federation of Automatic Control (IFAC), pp. 1-6, 15th IFAC Triennial World Congress, Barcelona, Spain, 21/07/02. <http://www.cs.man.ac.uk/~navarroe/papers/enavarro_ifac02_1.pdf>

TY - GEN

T1 - Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting

AU - Navarro Lopez, Eva

AU - Navarro-Lopez, E.M.

AU - Fossas-Colet, E.

N1 - Nominated for best young paper award.

PY - 2002/7

Y1 - 2002/7

N2 - Necessary and sufficient conditions for a class of dissipative nonlinear multiinputmulti-output discrete-time systems are given. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Feedback passivity is solved for a class of multi-input multi-output nonlinear discrete-time systems affine in the control input using the properties of the relative degree and zero dynamics of the non-passive system. This is the first solution presented in the literature to such a problem in the discrete-time setting. The passification methodology is illustrated bymeans of an example.

AB - Necessary and sufficient conditions for a class of dissipative nonlinear multiinputmulti-output discrete-time systems are given. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Feedback passivity is solved for a class of multi-input multi-output nonlinear discrete-time systems affine in the control input using the properties of the relative degree and zero dynamics of the non-passive system. This is the first solution presented in the literature to such a problem in the discrete-time setting. The passification methodology is illustrated bymeans of an example.

KW - Discrete-time systems

KW - Nonlinear systems

KW - Energy control

KW - Passive elements,

KW - Feedback stabilization

KW - Feedback passivity

M3 - Conference contribution

SN - 0-08-044232-3

VL - 1

SP - 1

EP - 6

BT - 15th IFAC Triennial World Congress

PB - International Federation of Automatic Control (IFAC)

T2 - 15th IFAC Triennial World Congress

Y2 - 21 July 2002 through 26 July 2002

ER -

Dissipativity, passivity and feedback passivity in the nonlinear discrete-time setting

Abstract

Conference

Keywords

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