Asymptotic properties of zeros of sampled-data systems
Asymptotic properties of zeros of sampled-data systems
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DOI：
10.1109/cdc.2010.5717815
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发表时间：
2010-12
期刊：
影响因子：
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通讯作者：
M. Ishitobi;Tomoki Koga;M. Nishi;S. Kunimatsu
中科院分区：
文献类型：
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作者：
M. Ishitobi;Tomoki Koga;M. Nishi;S. Kunimatsu
当使用零阶保持对相对度大于或等于3的连续时间系统进行离散化时，所得到的采样数据模型的至少一个零点在小采样周期内是不稳定的。因此，这里的注意力集中在相对度小于或等于2的连续时间系统上。本文分析了与上述连续时间系统对应的采样数据模型的零点，并给出了零点关于采样周期的幂级数展开的近似表达式。在此基础上，讨论了零点在小采样周期下的稳定性，得到了一个新的稳定性条件。
When a continuous-time system with relative degree greater than or equal to three is discretized using a zero-order hold, at least one of the zeros of the resulting sampled-data model is unstable for small sampling periods. Thus, attention is here focused on continuous-time systems with relative degree less than or equal to two. This paper analyzes the zeros of the sampled-data models corresponding to the continuous-time systems mentioned above and gives approximate expressions of the zeros as power series expansions with respect to a sampling period. Further, the stability of the zeros is discussed for small sampling periods and a new stability condition is derived.