Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 3RQ
What kind of compensation improves the steady-state error?
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The temperature of a catalysed exothermic reaction is being maintained at T1°C as it promotes
generation of a particular product. It is proposed to control the temperature with a proportional
only controller of gain Kc. The temperature dynamics of the reactor can be modelled as a mixture of
a CSTR (1st order) and PFR (dead time) to changes either in inlet temperature, or in the
heating/cooling jacket flowrate via
Ke-tas
Ts+1
i)
Considering a change in inlet temperature show why a 1st order model for a
CSTR and a dead time model for a PFR are appropriate.
CSTR - continuous stirred tank reactor
PFR - plug flow reactor
P.4:
R(s) +
E(s)
K(s+7)
s(s+5)(5 + 8)(5 + 12)
C(s)
a. What value of K will yield a steady-state error in position of 0.01 for an
input of (1/10)?
b. What is the K, for the value of K found in (a)?
c. What is the minimum possible steady-state position error for the input
given in (a)?
s(1/s²)
e(00) = Cramp (00) = lim1+G(s)
1
05+sG(s)
= lim
1
lim sG(s)
5-0
Verification of Sampling Theorem
Solution in Matlab
Chapter 9 Solutions
Control Systems Engineering
Ch. 9 - Prob. 1RQCh. 9 - Name two major advantages of the design techniques...Ch. 9 - What kind of compensation improves the...Ch. 9 - 4. What kind of compensation improves transient...Ch. 9 - 5. What kind of compensation improves both...Ch. 9 - Prob. 6RQCh. 9 - Prob. 7RQCh. 9 - What difference on the s-plane is noted between...Ch. 9 - Prob. 9RQCh. 9 - Why is there more improvement in steady-state...
Ch. 9 - Prob. 11RQCh. 9 - 12. A lag compensator with the zero 25 times as...Ch. 9 - Prob. 13RQCh. 9 - Prob. 14RQCh. 9 - The unity feedback system shown in Figure P9.1...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 22PCh. 9 - For the unity feedback system in Figure P9.1, with...Ch. 9 - Prob. 26PCh. 9 - Prob. 29PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 34PCh. 9 - Identify and realize the following compensators...Ch. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Figure P9.5 shows a two-tank system. The liquid...Ch. 9 - Figure P9.6(a) shows a heat-exchanger process...Ch. 9 - Repeat Problem 39, Parts b and c, using a lead...Ch. 9 - Prob. 41PCh. 9 - 42. You are given the motor whose transfer...Ch. 9 - Prob. 43PCh. 9 - A position control is to be designed with a 10%...Ch. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Repeat Problem 47 using a lag-lead compensator...Ch. 9 - Prob. 51PCh. 9 - A metering pump is a pump capable of delivering a...
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- The temperature of a catalysed exothermic reaction is being maintained at T1°C as it promotes generation of a particular product. It is proposed to control the temperature with a proportional only controller of gain Kc. The temperature dynamics of the reactor can be modelled as a mixture of a CSTR (1* order) and PFR (dead time) to changes either in inlet temperature, or in the heating/cooling jacket flowrate via Ke-'a® Ts+1 i) Considering a change in inlet temperature show why a 1st order model for a CSTR and a dead time model for a PFR are appropriate. CSTR - continuous stirred tank reactor PFR - plug flow reactorarrow_forward4) If the forward function for a control system is given below, and the feed backward is unity. Find the range of (K) that make this system stable: G(s) = 7K S5+254 +353 +5S2 + 2S +8 425arrow_forwardA mobile robot using a vision system as the measurement device is shown in the figure below. The control system is shown in figure (b). Design the controller so that (a) the percent overshoot for a step input is P.O. < 5 (b) the settling time (with a 2% criterion) is Ts < 6s (c) the system velocity error constant Kv < 0.9 (d) the peak time, TP, for a step input is minimized. Motion subsystem B Object environment Recognition subsystem Computerarrow_forward
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