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2013 Improving the Asymptotic Properties of Discrete System Zeros in Fractional-Order Hold Case
Cheng Zeng, Shan Liang, Yingying Su
J. Appl. Math. 2013(SI16): 1-16 (2013). DOI: 10.1155/2013/268684

Abstract

Remarkable improvements in the asymptotic properties of discrete system zeros may be achieved by properly adjusted fractional-order hold (FROH) circuit. This paper analyzes asymptotic properties of the limiting zeros, as the sampling period T tends to zero, of the sampled-data models on the basis of the normal form representation of the continuous-time systems with FROH. Moreover, when the relative degree of the continuous-time system is equal to one or two, an approximate expression of the limiting zeros for the sampled-data system with FROH is also given as power series with respect to a sampling period up to the third-order term. And, further, the corresponding stability conditions of the sampling zeros are discussed for fast sampling rates. The ideas of the paper here provide a more accurate approximation for asymptotic zeros, and certain known achievements on asymptotic behavior of limiting zeros are shown to be particular cases of the results presented.

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Cheng Zeng. Shan Liang. Yingying Su. "Improving the Asymptotic Properties of Discrete System Zeros in Fractional-Order Hold Case." J. Appl. Math. 2013 (SI16) 1 - 16, 2013. https://doi.org/10.1155/2013/268684

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950591
Digital Object Identifier: 10.1155/2013/268684

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI16 • 2013
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