Linear output feedback with dynamic high gain for nonlinear systems

L. Praly; Z. P. Jiang

doi:10.1016/j.sysconle.2004.02.025

Linear output feedback with dynamic high gain for nonlinear systems

L. Praly, Z. P. Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a linear output feedback with dynamic high gain for global regulation of a class of nonlinear systems. The uncertain nonlinearities are assumed to be bounded by a polynomial function of the output multiplied by unmeasured states. The crucial point made in this paper is that a linear observer-based output feedback can globally regulate an equilibrium of strongly nonlinear systems, provided that a single high gain is appropriately tuned.

Original language	English (US)
Pages (from-to)	107-116
Number of pages	10
Journal	Systems and Control Letters
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.sysconle.2004.02.025
State	Published - Oct 2004

Keywords

Global regulation
Input-to-state stability
Lyapunov functions
Nonlinear systems
Output feedback
Small-gain

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2004.02.025

Cite this

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title = "Linear output feedback with dynamic high gain for nonlinear systems",

abstract = "We propose a linear output feedback with dynamic high gain for global regulation of a class of nonlinear systems. The uncertain nonlinearities are assumed to be bounded by a polynomial function of the output multiplied by unmeasured states. The crucial point made in this paper is that a linear observer-based output feedback can globally regulate an equilibrium of strongly nonlinear systems, provided that a single high gain is appropriately tuned.",

keywords = "Global regulation, Input-to-state stability, Lyapunov functions, Nonlinear systems, Output feedback, Small-gain",

author = "L. Praly and Jiang, {Z. P.}",

note = "Funding Information: Research supported partly by the Othmer Institute for Interdisciplinary Studies of Polytechnic University, and the National Science Foundation under Grants ECS-0093176 and INT-9987317. This work was done in part while Laurent Praly was visiting the Institut Mittag-Leffler from The Royal Swedish Academy of Sciences. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",

year = "2004",

month = oct,

doi = "10.1016/j.sysconle.2004.02.025",

language = "English (US)",

volume = "53",

pages = "107--116",

journal = "Systems and Control Letters",

issn = "0167-6911",

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T1 - Linear output feedback with dynamic high gain for nonlinear systems

AU - Praly, L.

AU - Jiang, Z. P.

N1 - Funding Information: Research supported partly by the Othmer Institute for Interdisciplinary Studies of Polytechnic University, and the National Science Foundation under Grants ECS-0093176 and INT-9987317. This work was done in part while Laurent Praly was visiting the Institut Mittag-Leffler from The Royal Swedish Academy of Sciences. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2004/10

Y1 - 2004/10

N2 - We propose a linear output feedback with dynamic high gain for global regulation of a class of nonlinear systems. The uncertain nonlinearities are assumed to be bounded by a polynomial function of the output multiplied by unmeasured states. The crucial point made in this paper is that a linear observer-based output feedback can globally regulate an equilibrium of strongly nonlinear systems, provided that a single high gain is appropriately tuned.

AB - We propose a linear output feedback with dynamic high gain for global regulation of a class of nonlinear systems. The uncertain nonlinearities are assumed to be bounded by a polynomial function of the output multiplied by unmeasured states. The crucial point made in this paper is that a linear observer-based output feedback can globally regulate an equilibrium of strongly nonlinear systems, provided that a single high gain is appropriately tuned.

KW - Global regulation

KW - Input-to-state stability

KW - Lyapunov functions

KW - Nonlinear systems

KW - Output feedback

KW - Small-gain

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SN - 0167-6911

VL - 53

SP - 107

EP - 116

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Linear output feedback with dynamic high gain for nonlinear systems

Abstract

Keywords

ASJC Scopus subject areas

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