Consider the system of Fig. P6.5-2, with the digital filter as described in Problem 6.5-2.

(a) Find the system type.

(b) Find the steady-state response for a unit ramp input, without finding C(z).

(c) Find the approximate time for the system to reach steady state.

(d) Calculate the steady-state unit-ramp response for the system to verify parts (b) and (c).

Problem 6.5-2

Consider the system of Fig. P6.5-2. The digital filter is described by

(a) Find the system type.

(b) Find the steady-state response for a unit-step input, without finding C(z).

(c) Find the approximate time for the system to reach steady state.

(d) Find the unit-step response for the system and verify parts (b) and (c).

Transcribed Image Text:

R(s) m( kT) = e(kT) - 0.9e[(k 1)T] + m[(k 1)T] Gp(s) 1 s+1 T= 1 s D(z) 1-8-7's S M(s) Figure P6.5-2 System for Problem 6.5-2. C(s)