Performance measures and optimization condition for a third-order sampled-data tracker

Abstract

In a recent paper Benedict and Bordner derived the relationship between and for an optimized " \alpha=\beta " sampled-data tracker. This note shows how the optimization condition is modified when acceleration terms are included and the tracker becomes an " \alpha=\beta=\gamma " tracker. The optimization relationship between \alpha, \beta, \gamma is 2\beta - \alpha (\alpha + \beta + \frac{1}{2}\gamma) = 0 .