We present an effcient and numerically reliable approach to compute the zeros of a periodic system. The zeros are defined in terms of the transfer-function matrix corresponding to an equivalent lifted statespace representation as constant system. The proposed method performs locally row compressions of the associated system pencil to extract a low order pencil which contains the zeros (both finite and infinite) as well as the Kronecker structure of the periodic system. The proposed algorithm belongs to the family of fast, structure exploiting algorithms and relies exclusively on using orthogonal transformations. For the overall zeros computation a certain form of numerical stability can be ensured.
On computing the zeros of periodic systems
2002 ; Las Vegas (USA)
Proc. of CDC'02 ; 1-6
2002-07-01
Conference paper
Electronic Resource
English
Computing the zeros of periodic descriptor systems
German Aerospace Center (DLR) | 2003
|Strongly stable algorithm for computing periodic system zeros
German Aerospace Center (DLR) | 2003
|Expansion Formulae of Sampled Zeros and a Method to Relocate the Zeros
British Library Online Contents | 2010
|