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Nonlinear System Analysis

Offered in 113-1

  • Serial Number

    75571

  • Course Number

    EE5076

  • Course Identifier

    921 U3390

  • No Class

  • 3 Credits

  • Elective

    GRADUATE INSTITUTE OF ELECTRICAL ENGINEERING

      Elective

    • GRADUATE INSTITUTE OF ELECTRICAL ENGINEERING

  • LI-CHEN FU
    • View Courses Offered by Instructor

    • COLLEGE OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE DEPARTMENT OF COMPUTER SCIENCE & INFOR

    • lichen@ntu.edu.tw

    • 資訊工程學系 5 樓 533 室

    • 02-23622209

  • Thu 2, 3, 4

  • BARRI LAM HALL ROOM NO.103 (博理103)

  • Type 1

  • 35 Student Quota

    NTU 25 + non-NTU 10

  • No Specialization Program

  • English
  • NTU COOL
  • Notes
    The course is conducted in English。

  • NTU Enrollment Status

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  • Course Description
    This course is offered for graduate students interested in control engineering. Main object of this course is focused on nonlinear system analysis with some nonlinear controller design tools provided. As a core course of control system theory, we will give a solid basis on control system theory and discuss both basic and advanced stability analysis techniques for nonlinear systems. The course outlines are: Introduction and mathematical preliminaries Nonlinear dynamical system exploration Lyapunov stability and input-output stability Stability of perturbed systems Nonlinear controller design Applications to practical nonlinear systems
  • Course Objective
    Understand characteristics and modeling of nonlinear dynamical systems Use Lyapunov theory to analyze stability of nonlinear dynamical systems Study and compare stability properties of some classes of nonlinear systems
  • Course Requirement
    Homework Mid term exam Final term exam
  • Expected weekly study hours after class
  • Office Hour
  • Designated Reading
  • References
    Textbook： H. K. Khalil, Nonlinear System Analysis, 3rd edition, Prentice-Hall 2002 Reference： Vidyasagar, Nonlinear Systems Analysis, 2ed edition, SIAM 1993.
  • Grading
  • Adjustment methods for students
  • Course Schedule
    9/5Week 1Introduction
    9/12Week 2Qualitative Behaviors
    9/19Week 3Limit Cycles, Periodic Orbits; Bifurcations
    9/26Week 4Contraction Mapping Theorem, Existence & Uniqueness
    10/3Week 5Sensitivity analysis and comparison principle
    10/10Week 6National Day
    10/17Week 7Lyapunov stability
    10/24Week 8Midterm
    10/31Week 9Lyapunov Stability Linear Systems & Linearization
    11/7Week 10Invariance Principle (Lyapunov Stability)
    11/14Week 11LTV Systems; Linearization, Converse Theorems
    11/21Week 12Non-autonomous system
    11/28Week 13Non-autonomous system
    12/5Week 14Converse Theorem
    12/12Week 15Ultimate boundedness
    12/19Week 16Final Exam