EE 5323-
Nonlinear Control Systems
Updated: Sunday, August 17, 2014 by F.L. Lewis
This
is a UTA Web-Based Course. The internet
URL is http://www.uta.edu/utari/acs
Related
webpages:
Systems
and Controls Thrust Area
Catalog
Information: EE 5323 Nonlinear Control Systems. Analysis and design of nonlinear systems. This is a general course in nonlinear
systems with examples from multiple engineering and science disciplines. Topics
include phase planes, Lyapunov theory, describing functions, iterative maps,
chaos and fractals, and nonlinear optimization methods.
Prerequisite: Prerequisite knowledge: EE 5307 or its equivalent is highly recommended.
Course Objectives: To provide students with knowledge and abilities to analyze and design nonlinear control systems. To understand the use of classical nonlinear techniques such as phase plane, describing functions. To lay a firm foundation in Lyapunov Theory, feedback linearization, and backstepping for future work. To study complex chaotic systems and their appearance in natural and manmade feedback systems. To train students in the use of MATLAB for system design and simulation for the workplace.
Topics Covered: see separate course outline.
Class hours: TTh 330-520 pm, room NH 106
Instructor: F.L.
Lewis, tel: 272-5972, office: UTARI room 215 (off
campus), lewis@uta.edu
UTA Faculty Profile: https://www.uta.edu/profiles/dr-frank-lewis
Office hours: before class by request or after class
Teaching Assistant: Nahum Torres
Office hours TBA
Texts:
J.J.-E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall
Strogatz, Nonlinear Dynamics and Chaos, Westview Press
Verhulst, Nonlinear Differential Equations and Dynamical systems, Springer-Verlag
Student Edition of MATLAB.
Grading:
Homework-- 20%
Exam 1 (1 sheet of notes both sides) 25%
Exam 2 (2 sheets of notes both sides) 25%
Final Project Report- conference paper 30% in IEEE
Format
The instructor reserves the right to make appropriate changes to the grading policy.
Submission of Homeworks and Posting
of Solutions:
Homeworks and exams should be submitted to the GTA through Blackboard
online. Solutions will also be posted on
Blackboard.
Student Learning Outcomes:
1. Understand nonlinear system analysis and design tools based on Jacobian linearization and the phase plane.
Assessment- homework design projects and examinations.
2. Understand nonlinear system analysis and design tools based on modern Lyapunov methods, feedback linearization, backstepping.
Assessment- homework design projects and examinations.
3. Ability to perform designs with various nonlinear control tools using MATLAB computer simulation toolboxes.
Assessment- computer design and simulation projects assigned in homeworks.
4. Understand the mechanisms of chaos in complex systems and how it arises, and understand analysis techniques for complex systems.
Assessment- design and simulation projects in homeworks, exams.
5. Understand the context of control systems design including the history of control and ethical responsibilities of engineers.
Assessment- general performance in class and final project report.
6. Learn to perform a survey and literature search and prepare a research paper with a unified presentation and exposition on a selected topic.
Assessment- Final Project Report.
Relation to Program Objectives. This is a course in nonlinear systems theory including analysis and design. Classical methods will be developed including phase plane and describing functions. Modern analysis methods include Lyapunov theory, backstepping, feedback linearization. Examples will be studied from aircraft systems, industrial and computer processes, and robotics. New ideas in complex and chaotic systems will be presented, including bifurcations and strange attractors.
Attendance is not mandatory. If you skip classes, you will find the homework and exams more difficult. Due to the pace of the lectures, copying someone else's notes may be an unreliable way of making up an absence. You are responsible for all material covered in class regardless of absences. If you skip class, please do not ask questions next time about the material you missed. If you attend class, questions are always encouraged.
You will need to use MATLAB, including the neural network, controls, and DSP toolbox. MATLAB is installed on the ACS network. Using the Student Edition of MATLAB you can install it on your own PC or MAC.
Check the grading of the exams thoroughly. You will have one week after the exam to see me for re-grading. After this period, the grade is final.
Questions during class are strongly encouraged. The worst thing I can do is move too slowly and bore you. The next worst thing I can do is move too quickly and confuse you. If either of these occurs, it is your responsibility to speak up. You are paying for an education, and if the material is not presented clearly with confusion being eliminated shortly after it sets in you are not getting what you contracted for. On the other hand, if I never confuse you I am being unduly conservative and hence not conscientious. There is a very fine balance here, with you as student and me as instructor each having very definite responsibilities for keeping open all channels of communication. It is extremely difficult to teach a course without some sort of real-time feedback.
Some
philosophy. I have an attitude toward learning which is based very
heavily on independence and self-reliance; it can be
"Knowledge cannot be given, but comes only with great personal
sacrifice and effort."
It is my job to make knowledge available to you and show you one attitude toward it based on my experience in the area. It is your job to make it a part of yourself and so your own personal possession.
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Training: NOT REQUIRED FOR THIS COURSE.
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Final
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have a completion date during or following this week unless specified in the class syllabus. During Final Review Week,
an instructor shall not give any examinations constituting 10% or more of the final
grade, except makeup tests and laboratory examinations. In addition, no
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Make-up Exam Policy: See instructor. Arrangements must be made PRIOR to the exam.
Grade Grievance Policy: As per the UTA catalog.