Dynamic Behavior '| 'I
of Second-Order Systems
Systems with first-order dynamic behavior are not the only ones
encountered in a chemical process. An output may change, under the
inﬂuence of an input, in a drastically different way from that of a first-
or
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CET1713
Instrumentation & Process Control
Spring 2016
Homework 8
Due date: February 12, 2016
Q 1. Consider that a process with the following transfer function is controlled using a P controller. It
is desired that the oset should be minimum. Find the maxi
CET1713
Instrumentation & Process Control
Spring 2016
Homework 1
Due date: December 28, 2015
Q 1. Compute Laplace transforms for the following functions
(a) Step function of size a
f (t) = 0 for t < 0
= a for t > 0
(b) Exponential function: f (t) = exp(3t
CET1713
Instrumentation & Process Control
Spring 2016
Homework 3
Due date: January 8, 2016
Q 1. Consider a system of two interacting tanks with areas A1 = 40cm2 and A2 = 60cm2 , respectively.
The steady state ow (Fss ) is 60 LPH, height in the rst tank (h
CET1713
Instrumentation & Process Control
Spring 2016
Homework 4
Due date: January 15, 2016
Q 1. For each of the dynamic unit-step responses in set A, nd an appropriate transfer function from
set B (Without a correct explanation, no points will be awarded
CET1713
Instrumentation & Process Control
Spring 2016
Homework 2
Due date: January 4, 2016
Q 1. Thermometer is an example of a rst order system. Consider that a thermometer with mercury of
mass m and specic heat capacity cp is kept in ambient conditions (
CET1713
Instrumentation & Process Control
Spring 2016
Homework 6
Due date: January 29, 2016
Q 1. For each of the following cases, analyze the eect of controller gain on the speed of response,
oscillations and oset, and interpret these results for a step c
CET1713
Instrumentation & Process Control
Spring 2016
Homework 7
Due date: February 8, 2016
Q 1. Consider that a process with the following transfer function is controlled using a P controller. It
is desired that the offset should be minimum. Find the max