Sampled-Data H^∞Design of Interpolators

Abstract

A design procedure for interpolators is developed based on sampled-data control theory. The procedure provides an interpolator which minimizes the L²-induced norm of the error system between the interpolator and a time-delay, and the L²/l²-induced norm of the system between the quantization noise and the output of. the interpolator. While the system is multirate and has delay elements, the design problem can be reduced to a finite-dimensional discrete-time problem using the FSFH (fast-sample and fast-hold) approximation. Numerical examples are presented to illustrate the effectiveness of the proposed method.