- Title
- Nussbaum functions in adaptive control with time-varying unknown control coefficients
- Creator
- Chen, Zhiyong
- Relation
- ARC.DP150103745 http://purl.org/au-research/grants/arc/DP150103745
- Relation
- Automatica Vol. 102, Issue April 2019, p. 72-79
- Publisher Link
- http://dx.doi.org/10.1016/j.automatica.2018.12.035
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2019
- Description
- Nussbaum functions have been successfully used in adaptive controller design for dealing with unknown control direction since the original work in 1983. However, for time-varying control coefficients of an unknown sign (positive or negative), only a special Nussbaum function can be proved to be effective based on the explicit calculation on the particular function. It remains open whether a general Nussbaum function is sufficient in these scenarios and why. This paper gives a No answer with a counter example. Moreover, it introduces new types of Nussbaum functions and reveals their fundamental characteristics that are sufficient for dealing with time-varying unknown control coefficients in adaptive control. A multivariable version is also introduced.
- Subject
- Nussbaum function; adaptive control; nonlinear systems; control coefficients
- Identifier
- http://hdl.handle.net/1959.13/1467179
- Identifier
- uon:47766
- Identifier
- ISSN:0005-1098
- Rights
- © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
- Language
- eng
- Full Text
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