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Title: A discrete-time periodic adaptive control approach for time-varying parameters with known periodicity
Authors: Abidi, K.
Xu, J.-X. 
Keywords: Adaptive control
Discrete-time system
Nonlinear process
Periodic adaptation
Time-varying parameters
Issue Date: Mar-2008
Citation: Abidi, K., Xu, J.-X. (2008-03). A discrete-time periodic adaptive control approach for time-varying parameters with known periodicity. IEEE Transactions on Automatic Control 53 (2) : 575-581. ScholarBank@NUS Repository.
Abstract: A periodic adaptive control approach is proposed for a class of nonlinear discrete-time systems with time-varying parametric uncertainties that are periodic, and the only prior knowledge is the periodicity. The new adaptive controller updates the parameters and the control signal periodically in a point-wise manner over one entire period, and in the sequel, achieves the asymptotic tracking convergence. The result is further extended to a scenario with mixed time-varying and time-invariant parameters, and a hybrid classical and a periodic adaptation law is proposed to handle the scenario more appropriately. The extension of the periodic adaptation to systems with unknown input gain, higher order dynamics, and tracking problems is also discussed. © 2008 IEEE.
Source Title: IEEE Transactions on Automatic Control
ISSN: 00189286
DOI: 10.1109/TAC.2007.914261
Appears in Collections:Staff Publications

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