Information Package / Course Catalogue - Adnan Menderes University

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Robust Control

Course Code	: EEE523
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 6

Objectives of the Course

This course aims to present robust control analysis and design methods.

Course Content

Classical control design methods, introduction to robust control. The importance of robust stability. Introduction to affine linear, interval, multilinear and nonlinear parameter uncertainties in control systems. Hermite-Biehler theorem, segment lemma, vertex lemma and Rantzer theorem. Kharitonov, edge and mapping theorems. Nyquist, Nichols, and Bode envelopes of uncertain systems. Controller design techniques for systems with parameter uncertainty. Robust performance. Stability analysis of nonlinear control systems with parameter uncertainty. Lur'e, Popov and Circle criteria. Quantitative Feedback Theory (QFT) and control theory.

Name of Lecturer(s)

Learning Outcomes

1.	To learn robust control methods
2.	To analyze control systems with parameter uncertainty
3.	To learn Hermite-Biehler theorem, segment lemma, vertex lemma and Rantzer theorem.
4.	To learn Kharitonov, edge and mapping theorems, Nyquist, Nichols and Bode envelopes of uncertain systems
5.	To learn stability analysis of nonlinear control systems with parameter uncertainty, Lur'e, Popov and Circle criteria.

Recommended or Required Reading

1.	S. P. Bhattacharyya, H. Chapellat and L.H. Keel, Robust Control: The Parametric Approach, Prentice Hall, 1995
2.	B.R. Barmish, New Tools for Robustness of Linear Systems, MacMillan, 1994
3.	I S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, Wiley, 1996.

Weekly Detailed Course Contents

Week 1 - Theoretical

Classical control design methods

Week 2 - Theoretical

Definition and advantages of robust control

Week 3 - Theoretical

Advantages of robust stability in control systems

Week 4 - Theoretical

Affine linear, interval, multilinear and nonlinear control systems parameter uncertainties

Week 5 - Theoretical

Affine linear, interval, multilinear and nonlinear control systems parameter uncertainties

Week 6 - Theoretical

Hermite-Biehler theorem, segment lemma, vertex lemma and Rantzer theorem

Week 7 - Theoretical

Hermite-Biehler theorem, segment lemma, vertex lemma and Rantzer theorem

Week 8 - Theoretical

Kharitonov, edge and mapping theorems and applications - Midterm Exam

Week 9 - Theoretical

Kharitonov, edge and mapping theorems and applications

Week 10 - Theoretical

Nyquist, Nichols, and Bode envelopes of uncertain systems

Week 11 - Theoretical

Controller design techniques of systems with parameter uncertainty

Week 12 - Theoretical

Robust performance

Week 13 - Theoretical

Stability analysis of nonlinear control systems with parameter uncertainty. Lur'e, Popov and Circle criteria

Week 14 - Theoretical

Quantitative feedback theory (QFT). and control theory

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Attending Lectures	1	%5
Quiz	1	%5
Midterm Examination	1	%20
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	4	3	98
Individual Work	14	0	1	14
Quiz	1	7	1	8
Midterm Examination	1	10	2	12
Final Examination	1	15	3	18
TOTAL WORKLOAD (hours)				150

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7
OÇ-1	4	4	4	4	4	3	4
OÇ-2	4	4	4	4	4	3	4
OÇ-3	4	4	4	4	4	3	4
OÇ-4	4	4	4	4	4	3	4
OÇ-5	4	4	4	4	4	3	4

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