Improving the Asymptotic Properties of Discrete System Zeros in Fractional-Order Hold Case

Cheng Zeng, Shan Liang and Yingying Su

Journal of Applied Mathematics, 2013, vol. 2013, 1-16

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 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:268684

DOI: 10.1155/2013/268684

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