DocumentCode :
981899
Title :
Spatial Periodic Adaptive Control for Rotary Machine Systems
Author :
Xu, Jian-Xin ; Huang, Deqing
Author_Institution :
Nat. Univ. of Singapore, Singapore
Volume :
53
Issue :
10
fYear :
2008
Firstpage :
2402
Lastpage :
2408
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 2pi radians, most rotary machine systems present certain cyclic behaviors with a fixed periodicity which is either a fraction or multiple of 2pi . 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.
Keywords :
Lyapunov methods; adaptive control; control system synthesis; electric machines; feedback; linearisation techniques; machine control; periodic control; Lyapunov-Krasovskii functional; SPAC; feedback linearization method; pseudo-periodic parametric uncertainties; rotary machine systems; spatial periodic adaptive control; Adaptive control; Engines; Feedback; Fourier series; Function approximation; Motor drives; Programmable control; Servomechanisms; Uncertainty; Velocity control; Feedback linearization; Lyapunov–Krasovskii functional; periodic adaptation; rotary machine systems; spatial adaptive control;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2008.2007531
Filename :
4668486
Link To Document :
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