Some remarks on Padé-approximations

Pade approximations are widely used to approximate a dead-time in continuous control systems. It provides a finite-dimensional rational approximation of a dead-time. However, the standard Pade approximation (recommended in many textbooks) with equal numerator- and denominator degree, exhibits a jump at time t=0. This is highly undesirable in simulating dead-times. To avoid this phenomena we shall reconsider the Pade approximation with differnt numerator degrees.