Please use this identifier to cite or link to this item: https://doi.org/10.1109/CDC.2007.4434201
Title: Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties
Authors: Ma, H. 
Lum, K.-Y. 
Ge, S.S. 
Keywords: Adaptive control
Capability and limitation
Feedback mechanism
Non-parametric uncertainty
Parametric uncertainty
Issue Date: 2007
Source: Ma, H.,Lum, K.-Y.,Ge, S.S. (2007). Adaptive control for a discrete-time first-order nonlinear system with both parametric and non-parametric uncertainties. Proceedings of the IEEE Conference on Decision and Control : 4839-4844. ScholarBank@NUS Repository. https://doi.org/10.1109/CDC.2007.4434201
Abstract: A simple first-order discrete-time nonlinear system, which has both parametric uncertainty and nonparametric uncertainty, is studied in this paper. The uncertainty of non-parametric part is characterized by a Lipschitz constant L, and the nonlinearity of parametric part is characterized by an exponent index b. An adaptive controller is constructed for this model in both cases of b = 1 and b > 1, and its closed-loop stability is established under some conditions. When 6 = 1, the conditions given reveal the magic number 3/2 + √2 which appeared in previous study on capability and limitations of the feedback mechanism. ©2007 IEEE.
Source Title: Proceedings of the IEEE Conference on Decision and Control
URI: http://scholarbank.nus.edu.sg/handle/10635/51104
ISBN: 1424414989
ISSN: 01912216
DOI: 10.1109/CDC.2007.4434201
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