Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 10RQ
Why is there more improvement in steady-state error if a PI controller is used instead of a lag network?
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For the feedback control system has:
G(s)=-
s(s+2)(s+4)
H(s)=D
s +2s +5
Investigate the stability of the system using Routh Criterion method.
1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter.
Example.
1. Open Loop - Water Heater:
Input - Water Temperature (Cold)
System - Heating Element
Output - Water Temperature (Hot)
2. Closed Loop - Air-conditioning System
Input - Desired Room Temperature
Control - Motor controller/Compressor/ACU
Feedback - Temperature Sensing
Output - Room Temperature
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
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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