Repeat Problem 1.1-4 with the transfer functions Problem 1.1-4 A feedback control system is illustrated in Fig.
Question:
Repeat Problem 1.1-4 with the transfer functions
Problem 1.1-4
A feedback control system is illustrated in Fig. P1.1-4. The plant transfer function is given by
(a) Write the differential equation of the plant. This equation relates c(t) and m(t) .
(b) Modify the equation of part
(a) to yield the system differential equation; this equation relates c(t) and r(t). The compensator and sensor transfer functions are given by
(c) Derive the system transfer function from the results of part (b).
(d) It is shown in Problem 1.1-2
(a) that the closed-loop transfer function of the system of Fig.
P1.1-4 is given by
Use this relationship to verify the results of part (c).
(e) Recall that the transfer-function pole term (s +
a) yields a time constant τ = 1 a , where a is real. Find the time constants for both the open-loop and closed-loop systems.
Step by Step Answer:
Digital Control System Analysis And Design
ISBN: 9780132938310
4th Edition
Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty