Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2006.883034
Title: On repetitive learning control for periodic tracking tasks
Authors: Xu, J.-X. 
Yan, R.
Keywords: Lyapunov-Krasovskii functional
Nonparametric uncertainties
Periodic tracking tasks
Repetitive learning control
Issue Date: Nov-2006
Source: Xu, J.-X., Yan, R. (2006-11). On repetitive learning control for periodic tracking tasks. IEEE Transactions on Automatic Control 51 (11) : 1842-1848. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2006.883034
Abstract: In this note, a repetitive learning control (RLC) approach is proposed to deal with periodic tracking tasks for nonlinear dynamical systems with nonparametric uncertainties. We address two fundamental issues associated with the learning control methodology: The existence of the solution, and learning convergence property. Applying the existence theorem of the neutral differential difference equation, and using Lyapunov-Krasovskii functional, the existence of the solution and learning convergence can be proven rigorously. A further extension of the RLC to cascade systems is also explored. © 2006 IEEE.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/56879
ISSN: 00189286
DOI: 10.1109/TAC.2006.883034
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