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Nonlinear averaging theorems, and the determination of parameter convergence rates in adaptive control

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Date

1986

Authors

Bodson, Marc
Sastry, Shankar
Anderson, Brian D.O.
Mareels, Iven
Bitmead, Robert R.

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Research Projects

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Abstract

The paper presents nonlinear averaging theorems for two-time scale systems, where the dynamics of the fast system are allowed to vary with the slow system. The results are applied to the Narendra-Valavani adaptive control algorithm, and estimates of the parameter convergence rates are obtained which do not rely on a linearization of the system around the equilibrium, and therefore are valid in a larger region in the parameter space.

Description

Keywords

Adaptive control, Averaging, Model reference, Nonlinear systems, Parameter convergence rates, Stability analysis

Citation

URI

https://hdl.handle.net/1885/733803150

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ANU Research Publications

Source

Systems and Control Letters

Type

Journal article

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Publication

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DOI

10.1016/0167-6911(86)90108-8

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