采样系统的分析:提升技术

Sampled-data system analysis: the lifting technique

采样系统中既有离散信号,又有连续信号,过去的做法是将系统在采样器和保持器处分开来进行分析,这样可以只考虑离散信号。但是采样系统的性能应该是指对象在连续的扰动信号作用下的输出性能,所以应该采用提升技术来对对象进行H_∞离散化。文中给出了H_∞离散化的算法,并结合例子说明了提升技术在性能和鲁棒稳定性分析中的应用。

There are discrete-time signals as well as continuous-time signals in the sampled-data systems. The common approach in the past is to separate the system at the sampler and the hold, and then to analyze the system only in the discrete time. But the real performance of the sampled-data system is the output behavior of the plant under the disturbance of continuous-time signal. Therefore the plant must be H∞ discretized by the lifting technique. The algorithms of H∞ discretization are given in this paper. And the applications of the lifting technique to performance analysis and robust stability are illustrated with examples.