Performance measures and optimization condition for a third-order sampled-data tracker
H. Simpson · IEEE Transactions on Automatic Control · 1963
In a recent paper Benedict and Bordner derived the relationship between α and β 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, \gammais2\beta - \alpha (\alpha + \beta + \frac{1}{2}\gamma) = 0.