Abstract
In this paper, we propose in a continuous-time framework incremental adaptation strategies for parametric uncertain systems. The issue of the bounded estimation is posed by considering merely the case of unsaturated adaptation. The partially- or fully-saturated adaptation laws are characterized analytically, to illustrate the flexibility in choice of adaptation laws. The presented analysis shows the asymptotic convergence of the system undertaken.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Krstic, M., Kanellakopoulos, I., Kokotovic, P.V.: Nonlinear and Adaptive Control Design. Wiley, NY (1995)
Ioannou, P.A., Sun, J.: Robust Adaptive Control. Prentice-Hall, Upper Saddle River (1996)
Sadegh, N., Horowitz, R., Kao, W.W., Tomizuka, M.: A unified approach to design of adaptive and repetitive controllers for robotic manipulators. ASME Journal of Dynamic Systems Measurement Control 112, 618–629 (1990)
Moore, J.B., Horowitz, R., Messner, W.: Functional persistence of excitation and observability for learning control systems. ASME Journal of Dynamic Systems Measurement Control 114, 500–507 (1992)
Jiang, Y.A., Clements, D.J., Hesketh, T.: Adaptive repetitive control of nonlinear systems. In: Proceedings of the 34th Conference on Decision & Control, New Orleans, LA, pp. 1708–1713 (1995)
Dixon, W.E., Zergeroglu, E., Dawson, D.M., Costic, B.T.: Repetitive learning control: A Lyapunov-based approach. IEEE Transactions on Systems, Man, and Cybernetics 32, 538–545 (2002)
Sun, M., Ge, S.S.: Adaptive rejection of periodic & non-periodic disturbances for a class of nonlinearly parametrized systems. In: Proceedings of the 2004 American Control Conference, Boston, Massachusetts, June 30-July 2, pp. 1229–1234 (2004)
Sun, M., Ge, S.S.: Adaptive repetitive control for a class of nonlinearly parametrized systems. IEEE Transactions on Automatic Control 51, 1684–1688 (2006)
Sun, M.: Adaptive controller designs for nonlinear periodic systems. In: Proceedings of 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems, Shanghai, China, November 20-22, pp. 798–802 (2009)
Sun, M.: Partial-period adaptive repetitive control by symmetry. Automatica 48, 2137–2144 (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sun, M. (2013). On Incremental Adaptive Strategies. In: Huang, DS., Jo, KH., Zhou, YQ., Han, K. (eds) Intelligent Computing Theories and Technology. ICIC 2013. Lecture Notes in Computer Science(), vol 7996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39482-9_40
Download citation
DOI: https://doi.org/10.1007/978-3-642-39482-9_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-39481-2
Online ISBN: 978-3-642-39482-9
eBook Packages: Computer ScienceComputer Science (R0)