Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems

Zhong Ping Jiang

doi:10.1016/S0167-6911(99)00082-1

Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems

Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This paper deals with the problem of disturbance attenuation with stability for a class of minimum-phase nonlinear uncertain systems by output feedback. In contrast to the state-feedback case, a nonlinear, not necessarily linear L₂, gain is employed to characterize the disturbance rejection level. A constructive output feedback design is described to achieve global asymptotic stability while the effect of the disturbance on the output is diminished to an arbitrary degree of accuracy. Sufficient conditions are additionally provided to yield a nonlinear output feedback solving the standard L₂-gain disturbance attenuation problem with internal stability.

Original language	English (US)
Pages (from-to)	155-164
Number of pages	10
Journal	Systems and Control Letters
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/S0167-6911(99)00082-1
State	Published - Mar 15 2000

Keywords

Disturbance attenuation
L-gain
Nonlinear control
Nonlinear gain
Output feedback
Partial-state observer
Uncertain systems

ASJC Scopus subject areas

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

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10.1016/S0167-6911(99)00082-1

Cite this

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title = "Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems",

abstract = "This paper deals with the problem of disturbance attenuation with stability for a class of minimum-phase nonlinear uncertain systems by output feedback. In contrast to the state-feedback case, a nonlinear, not necessarily linear L2, gain is employed to characterize the disturbance rejection level. A constructive output feedback design is described to achieve global asymptotic stability while the effect of the disturbance on the output is diminished to an arbitrary degree of accuracy. Sufficient conditions are additionally provided to yield a nonlinear output feedback solving the standard L2-gain disturbance attenuation problem with internal stability.",

keywords = "Disturbance attenuation, L-gain, Nonlinear control, Nonlinear gain, Output feedback, Partial-state observer, Uncertain systems",

author = "Jiang, {Zhong Ping}",

year = "2000",

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AU - Jiang, Zhong Ping

PY - 2000/3/15

Y1 - 2000/3/15

N2 - This paper deals with the problem of disturbance attenuation with stability for a class of minimum-phase nonlinear uncertain systems by output feedback. In contrast to the state-feedback case, a nonlinear, not necessarily linear L2, gain is employed to characterize the disturbance rejection level. A constructive output feedback design is described to achieve global asymptotic stability while the effect of the disturbance on the output is diminished to an arbitrary degree of accuracy. Sufficient conditions are additionally provided to yield a nonlinear output feedback solving the standard L2-gain disturbance attenuation problem with internal stability.

AB - This paper deals with the problem of disturbance attenuation with stability for a class of minimum-phase nonlinear uncertain systems by output feedback. In contrast to the state-feedback case, a nonlinear, not necessarily linear L2, gain is employed to characterize the disturbance rejection level. A constructive output feedback design is described to achieve global asymptotic stability while the effect of the disturbance on the output is diminished to an arbitrary degree of accuracy. Sufficient conditions are additionally provided to yield a nonlinear output feedback solving the standard L2-gain disturbance attenuation problem with internal stability.

KW - Disturbance attenuation

KW - L-gain

KW - Nonlinear control

KW - Nonlinear gain

KW - Output feedback

KW - Partial-state observer

KW - Uncertain systems

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M3 - Article

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SN - 0167-6911

VL - 39

SP - 155

EP - 164

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

Global output feedback control with disturbance attenuation for minimum-phase nonlinear systems

Abstract

Keywords

ASJC Scopus subject areas

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