A Fourier Series Lifting Approach to H∞ Sampled Data Control

Abstract In this paper we present a new approach, called Fourier series lifting, to the problem of H∞ sampled data control. The Fourier series lifting is in a generalised form that is applicable to both continuous and discrete periodic time-varying systems. By using Fourier senes lifting, we show that the H∞ sampled data control problem is equivalent to a finite dimensional H∞ discrete control problem. The obtained result allows either exact or approximate numerical computation of the solution.

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