Repeat Problem 4.10-4 for the antenna system of Fig. P4.3-11, with T = 0.05 s . In

Question:

Repeat Problem 4.10-4 for the antenna system of Fig. P4.3-11, with T = 0.05 s . In part (a), the required transfer function is Θ(z) E(z).

Problem 4.10-4

Consider the thermal stress chamber depicted in Fig. P4.3-9. Let T = 0.6 s. Ignore the disturbance input d(t) for this problem.

(a) Find the system transfer function C(z)>E(z).

(b) Draw a discrete simulation diagram, using the results of part (a), and give the state equations for this diagram.

(c) Draw a continuous-time simulation diagram for the plant, and give the state equations for this diagram.

(d) Use the state-variable model of part (c) to find a discrete state model for the system. The states of the discrete systems are the same as those of the continuous-time system.

(e) Draw a simulation diagram for the discrete state model in part (d).

(f) Use Mason’s gain formula to find the transfer function in part (e), which must be the same as that found in part (a).

Fig. P4.3-9E(s) e(t) T 1-8-T's S D(s) d(t) Voltage M(s) m(t) Chamber 2.5 s+0.5 2.5 s+0.5 Sensor 0.04 Temperature (C) c(t)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Digital Control System Analysis And Design

ISBN: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

Question Posted: