Frequency Response and the L_2-induced Norm of Sampled-data Systems
Zhen He · Kongzhi yu juece · 2005
It is pointed out that the lifting technique is not suitable for H_∞ synthesis with weighting functions of sampled-data systems.According to the special structure of the sampled-data control system,the signal channel is really composed of two parts:A continuous-time part and a discrete-time one.So the frequency response can be obtained via the classical sampled-data theory,and the L_2-induced norm of the system can be obtained as well.This method is simple,intuitive,and with clear physical meanings.