Instructor

Muhammad Abid

Room # SE–302, Ext: 3440

mabid@pieas.edu.pk

http://www.pieas.edu.pk/abid/

Course

Course Code and Title: EE–605 Robust Control Systems

Level: Graduate

Pre–requisite: EE–501, EE–601 or equivalent, understanding of MATLAB

Course Website: www.pieas.edu.pk/abid/index_files/RCS.htm

Course Material: Click here

Course Objectives

1. Analyze the behavior of uncertain dynamic systems with exogenous disturbances

2. Analyze the multi-input multi-output systems in frequency domain

3. Describe the desired behavior of the uncertain dynamic systems using principal gains and operators norms

4. Design the controllers using the recently developed approaches, that is, the LQG approach, H- infinity approach, mu-synthesis, LMI approach, etc.

5. Reduce the  order of the higher order systems/compensator to decrease implementation cost

Learning Outcomes

Robust Control Systems is an advance course for analysis and design of linear time invariant control systems.  This course will enable the students to synthesize controllers for uncertain systems with external disturbances.

Recommended Text

1. Maciejowski, J. J., Multivariable feedback design, 1991, Addison-Wesley.

2. Skogestad, S., Multivariable Feedback Control, 2nd edition, 2005, Wiley-Interscience.

3. Zhou K., Essentials of Robust Control, 1997, Prentice Hall.

Computer Usage

Student will extensively use MATLAB Robust Control Toolbox. There will be lab sessions for the analysis and design of robust control problems.

Assignments

There will be regular assignments during the session; most of them will be computer–based. Each of these assignments will be due in the following lecture. Late submission and copied assignments will not be accepted.

Examination

There will be two sessional exams and one terminal exam; the dates will be announced by the course-coordinator/examination cell. There will be 4–5 quizzes during the lecture hours; most of these quizzes will not be announced in advance.

Grading

1st Sessional Exam	15%
2nd Sessional Exam	20%
Quizzes	05%
Assignments	10%
Terminal Exam	50%

Breakdown in Lectures (Tentative)

Topic	Number of lectures
Introduction of robust control problem	2
Limitation on performance	2
Poles and zeros of multivariable control systems	2
Internal stability	1
Nyquist stability and Gershgorin bands	3
Principal gains for assessment of performance and robustness	3
Limitation on performance, MIMO systems	1
Signals and systems norms and their use to assess robustness and performance	2
Representation of uncertainty	2
Stability and performance robustness	3
Loop failure and gain variation	1
Lab session (Robust Control Toolbox)	2
LQG method for control design	4
Lab session (LQG design)	2
Youla parameterization	3
Hinfinity Control	3
Lab session (Hinf Control)	2
Mu analysis and synthesis	2
Lab Session (Mu synthesis and analysis)	1
Model reduction techniques	3
Lab session	1
LMI based design	2
Lab session	1