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Computation of the frequency-response gain of sampled-data systems via projection in the lifted domain

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2 Author(s)
L. Mirkin ; Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa, Israel ; Z. J. Palmor

This note addresses the computation of the frequency-response gain of sampled-data systems with their intersample behavior taken into account. The proposed method is based upon a novel necessary and sufficient condition for the frequency-response gain to be less than a given γ > o and thus can be used as a basis for a bisection algorithm. Unlike all currently existing results, the proposed procedure requires the operator γ2I - D 1111* neither to be positive nor even to be invertible, thus eliminating unnecessary restrictions of the existing approaches (here D˘11 stands for the feedthrough term of the lifted system).

Published in:

IEEE Transactions on Automatic Control  (Volume:47 ,  Issue: 9 )