Nonlinear Systems - acsl آزمایشگاه سیستم کنترل پیشرفته
Instructor
M. J. Yazdanpanah
Professor of Electrical Engineering
School of Electrical and Computer Eng., University of Tehran, Tehran, Iran
Office: Room #730, 7th floor, ECE Bldg.
Tel: 82084925
Email: yazdan@ut.ac.ir
Professor of Electrical Engineering
School of Electrical and Computer Eng., University of Tehran, Tehran, Iran
Office: Room #730, 7th floor, ECE Bldg.
Tel: 82084925
Email: yazdan@ut.ac.ir
Office hours
Students are welcome to set appointments through email.
Course Outline
● Introduction to Nonlinear Systems
● Nonlinear State Models
● Properties of Solutions of ODEs
● Phase Plane Analysis
● Limit Cycles
● Lyapunov Theory for Autonomous Non-autonomous Systems
● The Invariance Principle and LaSalle's Theorem
● Barbalat's Lemma
● Domain of Attraction and It's Estimation
● Bifurcation
● The Center Manifold Theorem
● Boundedness and Ultimate Boundedness
● Stability of Perturbed Systems: Vanishing and Non-Vanishing Perturbations
● Slowly varying systems
● Singular Perturbations
● Passivity and Dissipativity
● Absolute Stability: Circle and Popov Criteria
● Input-to-State Stability
● Input-to-Output Stability
● Small-Gain Theorem
● Final Projects: New Applied/Theoretical Emerging Topics
● Nonlinear State Models
● Properties of Solutions of ODEs
● Phase Plane Analysis
● Limit Cycles
● Lyapunov Theory for Autonomous Non-autonomous Systems
● The Invariance Principle and LaSalle's Theorem
● Barbalat's Lemma
● Domain of Attraction and It's Estimation
● Bifurcation
● The Center Manifold Theorem
● Boundedness and Ultimate Boundedness
● Stability of Perturbed Systems: Vanishing and Non-Vanishing Perturbations
● Slowly varying systems
● Singular Perturbations
● Passivity and Dissipativity
● Absolute Stability: Circle and Popov Criteria
● Input-to-State Stability
● Input-to-Output Stability
● Small-Gain Theorem
● Final Projects: New Applied/Theoretical Emerging Topics
References
Text books:
Nonlinear Systems
H. K. Khalil; Prentice Hall, 3rd edition, 2002
Applied Nonlinear Control
J. J. Slotine and w. Li; Prentice Hall, 1st edition, 1990.
Nonlinear Systems Analysis
M. Vidyasagar; Prentice Hall, 2nd edition, 1992.
Additional References:
Nonlinear Systems: Analysis, Stability and Control
S. Sastry; Springer, 1999
Differential Equations and Dynamical Systems
L. Perko; Springer, 3rd Edition, 2006
Nonlinear Dynamics and Chaos: With Applications To Physics, Biology, Chemistry, And Engineering
S. H. Strogatz, CRC Press, 1st Edition, 2000
Singular Perturbation Methods in Control: Analysis and Design
P.V. Kokotovic, H. K. Khalil, and J. O'reilly, Academic Press, 1986
An Introduction to Dynamical Systems and Chaos
G. C. Layek, Springer-India, 2015
Introduction to Applied Nonlinear Dynamical Systems and Chaos
S. Wiggins, Springer, 2nd Edition, 2003
Slow Integral Manifolds in Control and Graduate Education in Samara
M. Osintsev and V. Sobolev, IFAC Proceedings Volumes, Volume 45, Issue 11, Page 45-50, 2012
Nonlinear Control
Hassan Khalil, Pearson, 1st Edition, 2015
Nonlinear Systems
H. K. Khalil; Prentice Hall, 3rd edition, 2002
Applied Nonlinear Control
J. J. Slotine and w. Li; Prentice Hall, 1st edition, 1990.
Nonlinear Systems Analysis
M. Vidyasagar; Prentice Hall, 2nd edition, 1992.
Additional References:
Nonlinear Systems: Analysis, Stability and Control
S. Sastry; Springer, 1999
Differential Equations and Dynamical Systems
L. Perko; Springer, 3rd Edition, 2006
Nonlinear Dynamics and Chaos: With Applications To Physics, Biology, Chemistry, And Engineering
S. H. Strogatz, CRC Press, 1st Edition, 2000
Singular Perturbation Methods in Control: Analysis and Design
P.V. Kokotovic, H. K. Khalil, and J. O'reilly, Academic Press, 1986
An Introduction to Dynamical Systems and Chaos
G. C. Layek, Springer-India, 2015
Introduction to Applied Nonlinear Dynamical Systems and Chaos
S. Wiggins, Springer, 2nd Edition, 2003
Slow Integral Manifolds in Control and Graduate Education in Samara
M. Osintsev and V. Sobolev, IFAC Proceedings Volumes, Volume 45, Issue 11, Page 45-50, 2012
Nonlinear Control
Hassan Khalil, Pearson, 1st Edition, 2015
Assignments
Homeworks
Course Project
Goals
● To make students familiar with the new (applied/theoretical) emerging topics in the field.
● To improve research, technical reporting, and presentation abilities of students.
Preparation
● Students are supposed to select a topic and prepare a proposal. The proposal should be strictly related to the course syllabus.
● Prepare your proposal based on the specified format. (Use Adobe Acrobat Professional 8.0 or higher to open, fill out, save and print)
● Students should orally present their proposals, each in 5 minutes, at a presentations session (held at the last week of the term).
● Final reports should follow the standard template and are supposed to be submitted within 15 days after the final exam.
● Students should prepare their presentation file according to the standard template and then present their final results, each in 15 minutes.
Suggestions
● Start your search for an appropriate topic from the first weeks of the course.
● Be in contact with the instructor about your topic of interest.
Important
● You should hand in a hard copy of your proposal at the presentations session.
● Avoid any kind of Plagiarism! Read IEEE Plagiarism Tutorial carefully to know what plagiarism is and how to avoid it.
● Submission of the results of your research work, to any conference and/or journal, is primarily, subject to instructor's approval.
Evaluation of course project
Course Project
Goals
● To make students familiar with the new (applied/theoretical) emerging topics in the field.
● To improve research, technical reporting, and presentation abilities of students.
Preparation
● Students are supposed to select a topic and prepare a proposal. The proposal should be strictly related to the course syllabus.
● Prepare your proposal based on the specified format. (Use Adobe Acrobat Professional 8.0 or higher to open, fill out, save and print)
● Students should orally present their proposals, each in 5 minutes, at a presentations session (held at the last week of the term).
● Final reports should follow the standard template and are supposed to be submitted within 15 days after the final exam.
● Students should prepare their presentation file according to the standard template and then present their final results, each in 15 minutes.
Suggestions
● Start your search for an appropriate topic from the first weeks of the course.
● Be in contact with the instructor about your topic of interest.
Important
● You should hand in a hard copy of your proposal at the presentations session.
● Avoid any kind of Plagiarism! Read IEEE Plagiarism Tutorial carefully to know what plagiarism is and how to avoid it.
● Submission of the results of your research work, to any conference and/or journal, is primarily, subject to instructor's approval.
Evaluation of course project
| Evaluatin of Course Project | Percentage |
|---|---|
| Quality of report structure, format and appearance | 15% |
| Quality of oral presentation | 25% |
| Innovations, contributions, and depth of analysis/synthesis | 60% |
Evaluation
| Evaluatin of the Course | Percentage |
|---|---|
| Homeworks | 25% |
| Midterm Exam | 25% |
| Final Project | 25% |
| Final Exam | 25% |