Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2008.2007531
Title: Spatial periodic adaptive control for rotary machine systems
Authors: Xu, J.-X. 
Huang, D.
Keywords: Feedback linearization
Lyapunov-Krasovskii functional
Periodic adaptation
Rotary machine systems
Spatial adaptive control
Issue Date: 2008
Source: Xu, J.-X., Huang, D. (2008). Spatial periodic adaptive control for rotary machine systems. IEEE Transactions on Automatic Control 53 (10) : 2402-2408. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2008.2007531
Abstract: A spatial periodic adaptive control (SPAC) approach is developed to deal with rotary machine systems performing speed tracking tasks. Since the angular displacement is periodic when rotating by 2π radians, most rotary machine systems present certain cyclic behaviors with a fixed periodicity which is either a fraction or multiple of 2π. As a consequence, unknown system parameters and disturbances that characterize the system behaviors are also periodic in nature. By utilizing the spatial periodicity, the SPAC aims at improving the system performance. In the SPAC design, the dynamics of the rotary machine systems is first converted from the temporal to spatial coordinates in canonical form using the feedback linearization method. Then the new adaptive controller updates the parameters and the control signal periodically in a pointwise between two consecutive spatial cycles. Using a Lyapunov-Krasovskii functional, the convergence property of the SPAC can be analyzed for high order rotary systems and the periodic adaptation can be applied to rotary systems with pseudo-periodic parametric uncertainties. The effectiveness of the SPAC is verified through rigorous analysis and two numerical examples. © 2008 IEEE.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/57458
ISSN: 00189286
DOI: 10.1109/TAC.2008.2007531
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