At the end of this course, the students; 1) Application of root-locus methods 2) Controller design in time domain 3) Controller design in frequency domain 4) PID Controllers 5) Cauchy's principle, Nyquist stability criterion, Nichols diagram 6) Controller system design by student project groups. 7) Up to date controller technologies 8) An understanding of professional and ethical responsibility
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
Control Theory
COURSE DEFINITION
Root Locus, basic definition and properties. P, PD, PI, PID controller design. Lag and lead compensators as controllers. Design and Compensation in Feedback Control Systems Using Root Locus Technique. Frequency Response; Basic Definition, Properties, Bode Diagram, Nyquist Diagram and Nichols chart. Stability in Frequency domain. Design and ompensation in Feedback Control Systems Using Frequency Response Technique.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Policy of the course, Introduction.
2nd Week
Alternative approaches in the design of control systems. The use of time domain and frequency domain techniques in the control system design.
3rd Week
Relationship between time domain specifications in design and the location of closed loop poles in the complex s-plane. The concept of root locus. Basic definitions and characteristics of a root locus.
4th Week
Rules of drawing root locus for a given open loop pole/zero configuration of an open loop transfer function
5th Week
Root locus with respect to any parameter. Root contours.
6th Week
Root locus of systems with transportation lag. Complementary root locus.
7th Week
Fundamental concepts in the design of feedforward controllers (compensators, filters) by using root locus technique.
8th Week
MIDTERM
9th Week
PID-controller design. Analytical design of P, PI, PD and PID controllers. Lag and lead compensators as controllers.
10th Week
Basic definition and characteristics of frequency response. Relationship between the frequency response and pole-zero locations in the s-plane.
11th Week
Minimum and non-minimum phase systems. Relationship between magnitude and phase characteristics of frequency response. All pass systems. Low frequency and high frequency characteristics of frequency response.
12th Week
Closed loop frequency response from the polar plot of open loop frequency response. Point and contour mapping between complex planes through a function. Cauchy's principle of argument.
13th Week
Nyquist stability criterion. Relative stability. Phase and gain crossover frequencies. Phase margin. Gain margin. Frequency domain design specifications.
14th Week
Relationship between open loop and closed loop frequency responses for unity feedback systems. Constant M and N circles. Log-magnitude versus phase plots. Nichols diagram. Frequency response design techniques of lag compensators.
RECOMENDED OR REQUIRED READING
Nise, N.S., Control Systems Engineering, 4th Edition, John Wiley & Sons, 2004. D'Azzo, J.J. and Houpis, C.H., Linear Control System Analysis and Design, McGraw Hill, 1988. Dorf, R.C. and Bishop, R.H., Modern Control Systems, 11th Edition, Prentice-Hall, 2007. D'Souza, A.F., Design of Control Systems, Prentice-Hall, 1988. Franklin, G.F., Powell, J.D., and Emami-Naeini, A., Feedback Control of Dynamic Systems, 5th Edition, Prentice-Hall, 2006. Kuo, B.C. and Golnaraghi, F., Automatic Control Systems, 8th Edition, John Wiley & Sons, 2003. Ogata, K., Modern Control Engineering, 4th Edition, Prentice Hall, 2002. Phillips, C.L. and Harbor, R.D., Feedback Control Systems, 4th Edition, Prentice-Hall, 2000.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture,Presentation
ASSESSMENT METHODS AND CRITERIA
Quantity
Percentage(%)
Mid-term
1
30
Assignment
1
5
Quiz
1
10
Attendance
1
5
Total(%)
50
Contribution of In-term Studies to Overall Grade(%)
50
Contribution of Final Examination to Overall Grade(%)
50
Total(%)
100
ECTS WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
2
2
Preparation for Quiz
7
1
7
Individual or group work
14
2
28
Preparation for Final exam
14
1,5
21
Course hours
14
3
42
Preparation for Midterm exam
7
1
7
Laboratory (including preparation)
Final exam
1
3
3
Homework
1
5
5
Project
1
40
40
Quiz
4
,5
2
Total Workload
157
Total Workload / 30
5,23
ECTS Credits of the Course
5
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)