Title
Laguerre based adaptive control of piezoelectric actuator for nanopositioning
Abstract
This paper considers the Laguerre based adaptive control of piezoelectric actuator for nanopositioning. Laguerre-based adaptive filters provide an attractive alternative to adaptive FIR filters in the sense that they provide better approximation of system with a long impulse response with a restricted order. Laguerre also keeps many of the advantages of adaptive FIR filter, such as unique global minimum and guaranteed stability. In this paper, the Laguerre based model matching problem is studied. A better optimal solution can be achieved by proper chosen pole location of all-pass filter in Laguerre filter. The Least-Mean-Square (LMS) algorithm based on Laguerre structure is then discussed. The results show that with same step size constraint, the Laguerre based LMS algorithm introduces less excessive mean-square-error. The Laguerre-based LMS algorithm is then applied to the adaptive control for reference tracking. Due to the model mismatch, the traditional adaptive feed-forward structure is modified to the adaptive inverse control structure for better tracking performance. The proposed approach is implemented in FPGA with 100 kHz sampling rate and applied to piezoelectric actuator for nanopositioning. Experimental results show effectiveness of the proposed approach.
Year
DOI
Venue
2010
10.1109/CDC.2010.5718127
CDC
Keywords
Field
DocType
least-mean-square algorithm,feedforward,stochastic processes,pole assignment,piezoelectric actuator,laguerre-based adaptive filters,unique global minimum,adaptive inverse control structure,all-pass filter,piezoelectric actuators,least mean squares methods,adaptive control,adaptive filters,pole location,fpga,laguerre based model matching problem,reference tracking,guaranteed stability,impulse response,laguerre based adaptive control,stability,all-pass filters,adaptive feedforward structure,laguerre structure,nanopositioning,control structure,lms algorithm,fir filter,adaptive filter,least mean square,mean square error,least squares approximation,feed forward,finite impulse response filter
Least mean squares filter,Impulse response,Mathematical optimization,Laguerre polynomials,Control theory,Computer science,Sampling (signal processing),Adaptive filter,Adaptive control,Finite impulse response,Feed forward
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
0
PageRank 
References 
Authors
0.34
10
4
Name
Order
Citations
PageRank
Yigang Wang115122.44
Kevin C. Chu231.74
Herrick L. Chang300.34
Tsu-Chin Tsao413537.12