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EEE 544

Robust Feedback Theory

This is a graduate-level controls course built around a single question: when your plant model is wrong (and it always is), how do you design a controller that still keeps the loop stable and meets performance specs? You will spend the term working through frequency-domain machinery — Youla parametrization, Nevanlinna-Pick interpolation, Nehari/Hankel methods, small gain arguments — and ending with H-infinity and LQR designs solved by hand and in Matlab on homework sets, a midterm, and a final. It assumes you are comfortable with classical feedback and signals/systems, and it is the bridge between that undergrad material and modern robust/optimal control research, which is why it shows up in the background of almost any EE thesis touching control, mechatronics, or process systems.

Credit3ECTS5FacultyFaculty of EngineeringBölümElectrical and Electronics Engineering

Değerlendirme 100% — 4 adım

35%
35%
18%
12%
Midterm:Essay/written Midterm Exam 35%
Final:Essay/written Final Exam 35%
Homework Homework, Homework 30%

Önerilen kaynaklar 4 kitap

📖
Önerilen
Feedback Control Theory
J. C. Doyle, B. A. Francis and A. R. Tannenbaum
1992 · Macmillan
📖
Önerilen
Introduction to Feedback Control Theory
H. Özbay
1999 · CRC Press
📖
Önerilen
Frequency domain techniques for H∞ control of distributed parameter systems
H. Özbay, S. Gümüşsoy
K. Kashima · Y. Yamamoto
📖
Önerilen
An Introduction to System Modeling and Control
John Chiasson
2022 · Wiley

Haftalık müfredat 14 hafta

Hafta 1
A review of linear feedback control system analysis and design
Hafta 2
Norms for signals and systems; Modeling, uncertainty and robustness
Hafta 3
Robust stability; Robust performance
Hafta 4
Mixed sensitivity minimization
Hafta 5
Stabilization. Parametrization of stabilizing controllers
Hafta 6
Solution of the one block problem: Nevanlinna-Pick interpolation
Hafta 7
Solution of the one block problem: Nehari problem and Hankel operator approach
Hafta 8
Solution of the two-block problem: spectral factorization and reduction to one block
Hafta 9
Strong stabilization and simultaneous stabilization problems
Hafta 10
Small gain theorem; performance limitations
Hafta 11
Essentials of state-space methods
Hafta 12
The LQR problem
Hafta 13
Solution of algebraic Riccati equations
Hafta 14
H2 and H-infinity controllers for MIMO plants

🤖 GenAI politikası

You should try to solve the problems given Homework, Exams etc., by yourself. Discussion of the questions with other students and online AI tools (e.g. ChatGPT) is allowed and encouraged. However, the final submitted work must be your own. You should not submit anything that you do not understand. We may invite you to explain your solutions at a face-to-face (or Zoom) meeting with the instructor and the grader. At the end of this interview, you may get no credit for the assignment/exam if it is

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Geçmiş GPA dağılımı 14 dönem · ort. 3.32

DönemCourse CPA
2025-2026 Fall 3.51 1 sec · 7 öğr
2023-2024 Spring 3.24 1 sec · 13 öğr
2022-2023 Spring 2.10 1 sec · 4 öğr
2021-2022 Spring 2.90 1 sec · 5 öğr
2020-2021 Spring 3.33 1 sec · 3 öğr
2019-2020 Spring 3.94 1 sec · 5 öğr
2016-2017 Fall 3.47 1 sec · 4 öğr
2015-2016 Fall 3.66 1 sec · 10 öğr
2013-2014 Fall 3.33 1 sec · 6 öğr
2012-2013 Spring 3.49 1 sec · 7 öğr

Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.

⚠️ FZ engelleyen şartlar

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Hocalar 0 bu dönem · 3 geçmiş

Geçmişte ders veren (3 kişi)
Hitay Özbay, Arif Bülent Özgüler, M. Erol Sezer