Disturbance attenuation over a first-order moving average Gaussian noise channel

Guang-Hui Xu, Ding-Xin He, Zhi-Hong Guan, Ding-Xue Zhang and Xian-He Zhang

International Journal of Systems Science, 2015, vol. 46, issue 16, 2865-2872

Abstract: In this paper, the problem of disturbance attenuation has been studied for a linear time-invariant feedback control system with a first-order moving average Gaussian noise channel. By applying the concept of entropy power, a lower bound of signal-to-noise ratio has been achieved which is necessary for stabilisation of a system with the limited channel input power constraint. Moreover, the problem of minimising the influence of a stochastic disturbance on the output has also been investigated, and the controller design method has been obtained by using Youla parameterisation and H2 theory. It is shown that the minimum variance of the system output depends not only on the disturbance variance, noise variance and unstable poles, but also on the non-minimum phase zeros and channel parameter. Finally, the effectiveness of the proposed results is illustrated by a numerical example.

Date: 2015
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DOI: 10.1080/00207721.2014.880194

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