Multi Criteria Sampled-Data Hinf Control applied to the Choice of Sampling Rate and Anti-alias Filter
Authors: | Lennartson Bengt, Chalmers University of Technology, Sweden Middleton Rick, University of Newcastle, Australia Christiansson Anna-Karin, University of Trollhattan, Sweden Fransson Carl-Magnus, Chalmers University of Technology, Sweden |
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Topic: | 2.1 Control Design |
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Session: | Sampled-data Control |
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Keywords: | Hinf optimization, robustness, sampled-data control, sampling period, anti-alias filter |
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Abstract
A systematic evaluation procedure for the choice of sampling period andanti-alias filter is presented. It is based on a multi criteria Hinf optimization procedure, where sampled-data measures are introducedto capture the intersample behavior. The optimization scheme is based on linearmatrix inequalities (LMIs) formulated in the delta operator, and the result isa low order controller of PID type. Both low frequency performance, midfrequency stability margins and high frequency control activity are taken intoaccount. The evaluation procedure suggests to use higher sampling rates than typical text books recommend.