A sufficiently smooth projection operator

Zhijun Cai

doi:10.1109/TAC.2005.861704

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A sufficiently smooth projection operator

2006-01-01

187

PRE

Zhijun Cai

de Queiroz, MS

D.M. Dawson

DOI：10.1109/TAC.2005.861704

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Abstract

En 中文

In this note, we introduce a new parameter projection operator for adaptation laws. The projection operator replaces the common Lipschitz continuity property with the stronger property of arbitrarily many times continuous differentiability. The proposed projection is useful for backstepping-based, robust adaptive controllers which require multiple differentiations of the adaptation law.

Keywords:

adaptation law

backstepping

disturbance

projection operator

robust adaptive control

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