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University of Management & Technology (Fall 2018) : Do Not Open This Exam Until Told To Do So

This document contains instructions and questions for a PhD comprehensive exam in Advanced Control Systems. It instructs students not to open the exam until told to do so and to follow instructions strictly. The exam contains 3 questions worth a total of 100 marks, with questions covering transfer function analysis, PID controller design using Ziegler-Nichols tuning rules, and concepts of controllability and observability for canonical forms.

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Asif Hussain
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48 views3 pages

University of Management & Technology (Fall 2018) : Do Not Open This Exam Until Told To Do So

This document contains instructions and questions for a PhD comprehensive exam in Advanced Control Systems. It instructs students not to open the exam until told to do so and to follow instructions strictly. The exam contains 3 questions worth a total of 100 marks, with questions covering transfer function analysis, PID controller design using Ziegler-Nichols tuning rules, and concepts of controllability and observability for canonical forms.

Uploaded by

Asif Hussain
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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University of Management & Technology

(Fall 2018)
Student Name: ____________________ Student ID: ___________________
Course Title: Advance Control Systems Course Code: EE 702
Exam : PhD Comprehensive Exam Date: September 26, 2018
Time Allowed: 120 minutes Total Marks: 100

DO NOT OPEN THIS EXAM UNTIL TOLD TO DO SO

The instructions below must be followed strictly. Failure to do so can result in serious
grade loss.

 You may not


 Talk to anyone once the exam begins.
 Exchange calculator, stationary etc
 Leave the examination room and then return.
 Use Mobile phone, PDA, Digital Diary, Laptop.

 You must
 Keep your eyes on your own paper.

 Specific instructions
 Calculator Allowed.
 Close Book/ Close Notes. Formula sheet is not allowed.
 Use a ball point or pen. Please do not use lead pencils.

Marks Distribution
Q1 Q2 Q3 Total
20 40 40 100

Electrical Engineering Deptt. UMT, Lahore. Page 1


Question # 1: For each of the following transfer function, do the following: (1) Find the values of
damping ratio ‘ζ’ and natural frequency ‘ω n’; (2) characterize the nature of the response.

Question # 2: Consider the control system shown in Figure 2.1 in which a PID controller is used
to control the system. The PID controller has the transfer function

Gc ( s )=K p ¿)

Figure 2.1 PID Controlled System

Design the PID controller by using the Ziegler-Nichols Tuning Rule based on critical gain K cr
and critical period Pcr as given in Table 2.1.

Table 2.1 Ziegler-Nichols Tuning Rule

Electrical Engineering Dept. UMT, Lahore. Page 2


From the unit step response of the designed PID controller as given in Figure 2.2, find the
maximum overshoot of the system.

Figure 2.2 Unit-step response of the PID controller

Question # 3: (a) What is difference between controllability and observability? Drive the
general Controllable Canonical form and Observable Canonical form by considering a system
defined by

Where u is the input and y is the output of the system.

(b) Consider the system described by

Is this system controllable and observable?

Electrical Engineering Dept. UMT, Lahore. Page 3

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