A sufficiently smooth projection operator

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, r...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2006-01, Vol.51 (1), p.135-139
Main Authors: Cai, Z., de Queiroz, M.S., Dawson, D.M.
Format: Article
Language:English
Subjects:
Adaptation
Adaptation law
Adaptative systems
Adaptive control
Adaptive control systems
Applied sciences
Automatic control
backstepping
Computational modeling
Computer science
control theory
systems
Continuity
Control theory. Systems
Controllers
Differentiation
disturbance
Exact sciences and technology
Law
Nonlinear dynamical systems
Nonlinear equations
Numerical simulation
Operators
Physics
Programmable control
Projection
projection operator
robust adaptive control
Robust control
State feedback
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2005.861704