Analysis and synthesis of sampled-data control systems

The theory of sampled-data systems using the method of the z-transform is extended and clarified. In particular, the equivalence between the z-transform in its closed form and the infinite summation used by some investigators is shown. Important characteristics of the pulsed transfer function, and initial and final value theorems are developed for the z-domain. An extensive table is given of z-transform pairs covering the most important and most commonly encountered system functions and input functions. The technique for stabilizing and shaping the pulsed transfer locus is demonstrated. In particular, the application of linear compensating networks in the continuous part of the system is investigated. Design criteria are obtained which relate the transient response of sampled-data systems and the frequency response.