Consider the system of Fig. P6.2-1, with D(z) = 1 . Use the results of Problem 6.2-1 if available.

(a) Find the system time constant τ for T = 2 s .

(b) With the input a step function, find the time required for the system output c(kT) to reach 98 percent of its final value, for T = 2 s . Recall that four time constants (4τ) are required.

(c) Repeat parts (a) and (b) for T = 0.4 s .

(d) Repeat parts (a) and (b) for the analog system, that is, for the system with the sampler data hold removed.

Problem 6.2-1

Consider the closed-loop system of Fig. P6.2-1.

Transcribed Image Text:

R(s) T= 2 s D(z) 1-e-Tr 3 0.5 $+0.5 Figure P6.2-1 System for Problem 6.2-1. C(s)