Robust Deadbeat Control via Minimization of L₂- and L_∞-Induced Norms

Abstract

This paper is concerned with robust deadbeat control of sampled-data systems. The robustness in this paper is measured with L₂- and L∞-induced norms, which are known to be useful for measuring robustness of sampled-data systems. The problems considered here are to find deadbeat controllers which minimize L₂- and L∞-induced norms while achieving deadbeat settling with prescribed settling steps. It is shown that the problems can be reduced to some convex problems which can be solved numerically. A simple example is also presented to justify the usefulness of the proposed method