Title :
A sufficiently smooth projection operator
Author :
Cai, Z. ; de Queiroz, M.S. ; Dawson, D.M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Iowa, Iowa City, IA, USA
Abstract :
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 :
adaptive control; robust control; set theory; backstepping-based control; multiple differentiations; parameter projection operator; robust adaptive control; Adaptive control; Automatic control; Computational modeling; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Physics; Programmable control; Robust control; State feedback; Adaptation law; backstepping; disturbance; projection operator; robust adaptive control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.861704
