Title :
Optimal anti-aliasing filter based on multi criteria sampled-data ℋ∞ control
Author :
Lennartson, Bengt ; Middleton, Richard
Author_Institution :
Dept. of Signals & Syst., Chalmers Univ. of Technol., Goteborg, Sweden
Abstract :
A systematic evaluation procedure is presented and applied to generate optimal anti-aliasing filters. It is based on multi criteria ℋ∞ optimization, where sampled-data measures are introduced to capture the intersample behavior. The optimization scheme is based on linear matrix inequalities (LMIs) formulated in the delta operator, and the result is a low order controller of PID type. Both low frequency performance, mid frequency stability margins and high frequency control activity are taken into account. A detailed investigation shows that a new simple rule for design of anti-aliasing filters gives nearly optimal closed loop performance for a number of representative plant models.
Keywords :
H∞ control; closed loop systems; linear matrix inequalities; optimal control; sampled data systems; stability; three-term control; LMI; PID type control; closed loop performance; delta operator; intersample behavior; linear matrix inequalities; multicriteria sampled-data H∞ control; optimal anti-aliasing filter; proportional-integral-derivative control; sampled-data measures; stability margins; systematic evaluation procedure; Closed loop systems; Frequency control; Linear matrix inequalities; Load modeling; Noise; Optimization; Sensitivity;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040067