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In this article, we propose optimal discretization of analog filters (orcontrollers) based on the theory of sampled-data H-infinity control. Weformulate the discretization problem as minimization of the H-infinity norm ofthe error system between a (delayed) target analog filter and a digital systemincluding an ideal sampler, a zero-order hold, and a digital filter. Theproblem is reduced to discrete-time H-infinity optimization via the fastsample/hold approximation method. We also extend the proposed method tomultirate systems. Feedback controller discretization by the proposed method isdiscussed with respect to stability. Numerical examples show the effectivenessof the proposed method.

Optimal Discretization of Analog Filters via Sampled-Data H-infinity Control Theory