Nonlinear Systems Analysis
Dept of Electrical Engineering, National Taiwan University
FALL 2005 (Sep05-Jan06)
  • News: (updated on 1/2/06)

    • Lecture notes of 1/2/06 are posted.
    • Final Exam is scheduled on 1/9/06 (Mon) from 2pm-4pm
      and will cover Chap 4 (including Sec 4.1).
      Exam is closed-book and notes, but one-page notes are allowed for the exem.
    • Discussion on Final Exam is scheduled on 1/16/06 (Mon) at 2pm
      •
    • OLD News are moved to the last row of the page.

  • Homework Assigments (updated on 12/26/05)

    • HW 7 (assigned on 12/26): 4.48, 4.53 (due on 1/2)
    • HW 6 (assigned on 12/19): 4.37(2)(4), 4.39, 4.47 (due on 12/26)
    • HW 5 (assigned on 11/28): 4.2, 4.3(2),(3), 4.10: (due on 12/5)
    • HW 4 (assigned on 11/14): 3.2, 3.14, 3.17, 3.30: (due on 11/21)
    • HW 3 (assigned on 10/17): 2.10, 2.17(2),(4), 2.22: (due on 10/31)
    • HW2: Chap 2: 2.1 (2), (5); 2.3 (2), (5); 2.6; 2.11(due on 10/17)
      Use the following Matlab programs to visualize the problems.
      Matlab programs:
      expVanderPol.m
      funVanderPol.m
      Draw Eigenvectors near E.P.:
      EPTunnelDiode.m
      EPPendulum.m
    • HW 1 (assigned on 9/19): 1.16, 1.18: (due on 9/26)

  • Lecture Notes (updated on 1/2/06)

  • Course Information:
    • What:
      • Topics: Nonlinear Systems
      • Course No: 921 U3390
      • Credit: 3
    • Who:
      • Students:
        • EE Control Major or others
      • Instructor:
        • Name: Feng-Li Lian (連豊力)
        • Office: Room 620, B. Lam Hall of EE Dept
        • Phone: 02-3366-3606
        • Email: fengli@ntu.edu.tw
      • T.A.:
        • Name: Chun-Po Huang
    • When:
      • Lectures: 1:30pm-4:20pm, Mondays
      • Office Hours: 4:30pm-6:30pm, Mondays or appointment by e-mail
    • Where:
      • Lecture Room: Room 104, EE 2 Building
      • Webpage: http://cc.ee.ntu.edu.tw/~fengli/Teaching/NonlinearSystems
    • Why:
      • Short-Term Goal:
        • Equations & solutions, qualitatively and quantitatively
      • Long-Term Goal:
        • Languages and tools for advanced study in systems and control
    • How:
      • Preview: ~3 hours/per week
      • Lecture: ~3 hours/per week
        • Demonstration, derivation and practice etc. on blackboard
      • Review: ~3 hours/per week
      • Homework: ~3 hours/per week (30% of the final grade)
        • 3-5 problems/every other week
      • Q & A:
      • Two Midterm Exams: (20% X 2 of the final grade)
        • One-hour in-class closed-book open-one-page-note
      • One Final Exam: (30% of the final grade)
        • Two-hour in-class closed-book open-one-page-note

  • Textbook:
    • H.K. Khalil, “Nonlinear Systems,” 3rd Edition, 2002.　
      (高立圖書)

  • Major References:
    • H.J. Marquez, "Nonlinear Control Systems: Analysis and Design," 2003
    • S. Sastry, "Nonlinear Systems: Analysis, Stability & Control," 1999
    • M. Vidyasagar, "Nonlinear Systems Analysis," 2nd Edition, 1993
    • J.-J.E. Slotine & W. Li, "Applied Nonlinear Control," 1991
    • "Control in an Information Rich World," Report of the Panel of Future Directions on Control, Dynamics, and Systems, 2002.

  • Course Outline:
    This is a first course to nonlinear system theory, and is designed mainly for graduate students. The objective of this course is to let students have a different view to the behavior of a general system. In this course, we will introduce various methods of describing nonlinear systems as well as ways of analyzing some of their intrinsic properties in a qualitative manner. The prerequisite for this course is control system theory or linear system theory. Whoever is interested in general system theory may find this course suitable. The course outline will be roughly the following：
    • Second Order Systems
    • Nonlinear Differential Equations
    • Lyapunov Stability Theory
    • Input-Output Stability
    • Feedback Linearization (?)

  • OLD News:
    • Lecture notes of 1/2/06 are posted.
    • HW 7 is assigned on 12/26/05, due on 1/2/05.
    • Lecture notes of Sec 8-3 are posted (will be used on 1/2/05).
    • HW 6 is assigned on 12/19/05, due on 12/26/05.
    • Lecture notes of 12/19/05 are posted.
    • Lecture notes of 12/12/05 are posted.
    • Lecture notes of Sec 4-5 ~ 4-9 are posted.
    • Lecture notes of 12/05/05 are posted.
    • Lecture notes of Sec 4-3 & 4-4 are posted.
    • HW 5 is assigned on 11/28/05, due on 12/5/05.
    • Lecture notes of 11/28/05 are posted.
    • Second Midterm Exam is scheduled on 12/5/05 from 3pm-4pm
      and will cover Chap 3 and Sec 4.1.
      Exam is closed-book and notes, but one-page notes are allowed for the exem.
    • Lecture notes of 11/21/05 are posted.
    • Lecture notes of 11/14/05 are posted.
    • HW 4 is assigned on 11/14/05, due on 11/21/05.
    • Lecture notes of Sec 4-1 & 4-2 are posted.
    • Lecture notes of 11/07/05 are posted.
    • Solution for Midterm Exam 1 is posted.
    • HW questions: If you have questions regarding to your homework grading, please discuss it with TA (Chun-Po Huang) at Lab EE2-203 from 4:30pm-6pm on the day when your homework is returned.
    • Lecture notes of 10/31/05 are posted.
    • Lecture notes of 10/24/05 are posted.
    • HW 3 is assigned on 10/17/05, due on 10/31/05.
    • First Midterm Exam (one-hour in-class) is scheduled on 10/31/05 from 3pm-4pm
      and will cover Chap 1 and Chap 2.
      Exam is closed-book and notes, but one-page notes are allowed for the exem.
    • New lecture notes of App B & Chap 3 are posted.
    • New set of lecture notes (which will be used on 10/17/05 & 10/24/05) are posted in the following.
    • First Midterm Exam (one-hour in-class) is scheduled on 10/31/05
      and will cover Chap 1 and Chap 2.
    • HW 2 is assigned on 10/03/05, due on 10/17/05.
    • HW 1 is assigned on 9/19/05, due on 9/26/05.
    • All lecture notes are posted.
    • All course-related information will be posted here.