Robustness of Adaptive Nonlinear Control to Bounded Uncertainties

R. A. Freeman; M. Krstić; P. V. Kokotović

doi:10.1016/S0005-1098(98)00070-3

Robustness of Adaptive Nonlinear Control to Bounded Uncertainties

R. A. Freeman^*, M. Krstić, P. V. Kokotović

^*Corresponding author for this work

Electrical and Computer Engineering

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

75 Scopus citations

Abstract

Two robust adaptive control methods are outlined for a class of nonlinear systems. The first method is based on the tuning function design of Krstić et al. (1992), and the second method is based on the modular design of Krstić and Kokotović (1995). Both methods guarantee robustness with respect to bounded uncertainties and exogenous disturbances, and L_∞/L₂ estimates are given on the effects of these uncertainties/disturbances on the tracking error.

Original language	English (US)
Pages (from-to)	1227-1230
Number of pages	4
Journal	Automatica
Volume	34
Issue number	10
DOIs	https://doi.org/10.1016/S0005-1098(98)00070-3
State	Published - Oct 1998

Funding

Acknowledgements—This work was supported by the U.S. Department of Energy Grant DE-FG-02-88-ER-13939 and by the Air Force Office of Scientific Research Grant AFOSR F49620-92-J-0495.

Keywords

Adaptive control
Disturbance rejection
Nonlinear systems
Recursive approaches
Robust control

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/S0005-1098(98)00070-3

Cite this

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title = "Robustness of Adaptive Nonlinear Control to Bounded Uncertainties",

abstract = "Two robust adaptive control methods are outlined for a class of nonlinear systems. The first method is based on the tuning function design of Krsti{\'c} et al. (1992), and the second method is based on the modular design of Krsti{\'c} and Kokotovi{\'c} (1995). Both methods guarantee robustness with respect to bounded uncertainties and exogenous disturbances, and L∞/L2 estimates are given on the effects of these uncertainties/disturbances on the tracking error.",

keywords = "Adaptive control, Disturbance rejection, Nonlinear systems, Recursive approaches, Robust control",

author = "Freeman, {R. A.} and M. Krsti{\'c} and Kokotovi{\'c}, {P. V.}",

note = "Funding Information: Acknowledgements—This work was supported by the U.S. Department of Energy Grant DE-FG-02-88-ER-13939 and by the Air Force Office of Scientific Research Grant AFOSR F49620-92-J-0495.",

year = "1998",

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T1 - Robustness of Adaptive Nonlinear Control to Bounded Uncertainties

AU - Freeman, R. A.

AU - Krstić, M.

AU - Kokotović, P. V.

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N2 - Two robust adaptive control methods are outlined for a class of nonlinear systems. The first method is based on the tuning function design of Krstić et al. (1992), and the second method is based on the modular design of Krstić and Kokotović (1995). Both methods guarantee robustness with respect to bounded uncertainties and exogenous disturbances, and L∞/L2 estimates are given on the effects of these uncertainties/disturbances on the tracking error.

AB - Two robust adaptive control methods are outlined for a class of nonlinear systems. The first method is based on the tuning function design of Krstić et al. (1992), and the second method is based on the modular design of Krstić and Kokotović (1995). Both methods guarantee robustness with respect to bounded uncertainties and exogenous disturbances, and L∞/L2 estimates are given on the effects of these uncertainties/disturbances on the tracking error.

KW - Adaptive control

KW - Disturbance rejection

KW - Nonlinear systems

KW - Recursive approaches

KW - Robust control

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JO - Automatica

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Robustness of Adaptive Nonlinear Control to Bounded Uncertainties

Abstract

Funding

Keywords

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