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Optimal control of a nano-positioning stage using linear matrix inequality and hierarchical genetic algorithms

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2 Author(s)
Gwo-Ruey Yu ; Electr. Eng. Dept., Nat. Ilan Univ., Ilan ; Lun-Wei Haung

This paper presents optimal fuzzy control of a nano-positioning system by linear matrix inequality (LMI) and hierarchical genetic algorithms (HGAs). First, the Bouc-Wen model describes the nonlinear hysteresis curve of a piezoelectric actuator. Then, the Takagi-Sugeno (T-S) fuzzy model approximates the Bouc-Wen equation. The parallel distributed compensation (PDC) is designed to control the nonlinear nano-positioning system. The HGAs are applied to search the optimal membership functions, state feedback gains, and rulebase of T-S fuzzy model. The stability of the nonlinear nano-positioning system is guaranteed based on the positive-definite solution of LMI.

Published in:
Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on

Date of Conference: 12-15 Oct. 2008

Page(s):
2834 - 2839
ISSN :
1062-922X
E-ISBN :
978-1-4244-2384-2
Print ISBN:
978-1-4244-2383-5
INSPEC Accession Number:
10570988
Conference Location :
Singapore
Digital Object Identifier :
10.1109/ICSMC.2008.4811726
Product Type:
Conference Publications

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