Consider the system of Fig. P6.5-2, with D(z) = 1 .

(a) With the sampler and zero-order hold removed, write the system differential equation.

(b) Using the rectangular rule for numerical integration with the numerical integration increment equal to 0.25 s, evaluate the unit-step response for 0 ≤ t ≤ 1.5 s .

(c) Repeat part (b) with the sampler and zero-order hold in the system, and with a sample period T = 0.5 s .

(d) Solve for the exact unit-step responses for parts (b) and (c), and compare results.

Fig. P6.5-2

Transcribed Image Text:

R(s) T= 1s D(z) 1-E-T's S M(s) Gp(s) 1 s+1 C(s)