Sampling Interval and Feedback Control

Abstract

One question which often arises in feedback systems is how often should one sample to know the options with which control adjustments may be made. In an optimal control scheme. we suppose that a control arrangement will be employed in which the sampling interval is h units long where h is an unknown integer. The equations describing both the dynamics and the noise process now depend on this interval h. Now considering the noise process and the cost and frequency of sampling, a reasonable cost function is formulated as a function of h. The optimum time interval at which surveillance should be conducted, i.e. observations taken and control adjustment action taken, is obtained by minimizing the above cost function.

KEYWORDS:

• Sampling interval
• Feedback control
• Transfer function model
• Minimum mean square error control