Repeat Problem 9.7-1 for the temperature control system of Problem 9.2-3, where the state equations are given

Question:

Repeat Problem 9.7-1 for the temperature control system of Problem 9.2-3, where the state equations are given by

x(k+ 1) = 0.2402x(k)+1.2343u(k) y(k)= 0.07.x(k) and where the control gain is K = 0.3652.

Problem 9.7-1

In Problem 9.2-4, a pole-placement design for a satellite control system results in the gain matrix K = [0.194 0.88]. It is desired to have an input signal r(t) applied to the system, so as to realize the system of Fig. 9-12. Write the resulting state equations in the formEvaluate all matrices with A = x(k+ 1) = Ax(k) + Br(k) y(k) = Cx(k) [1 B = 0.125 0.25 , and AB = [0.375 0.25

Problem 9.2-3

A chamber temperature control system is modeled as shown in Fig. P9.2-3. This system is described in Problem 1.6-1. For this problem, ignore the disturbance input, T = 0.6 s, and let D(z) = 1. It was shown in Problem 6.2-4 that(0.04) Z N 2 s(s+ 0.5)_ 0.04147 z - 0.7408Note that the sensor gain is included in this transfer function. (a) Draw a flow graph of the plant andR(s) + T T Controller D(z) Volts Disturbance Rd(s) S -Ts M(s) Volts ! Chamber 2.5 s +0.5 2 s +0.5 Sensor 0.04

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: