非線性系統分析

113-1 開課
  • 流水號

    75571

  • 課號

    EE5076

  • 課程識別碼

    921 U3390

  • 無分班

  • 3 學分
  • 選修

    電機工程學研究所

      選修
    • 電機工程學研究所

  • 傅立成
  • 四 2, 3, 4
  • 博理103

  • 1 類加選

  • 修課總人數 35 人

    本校 25 人 + 外校 10 人

  • 無領域專長

  • 英文授課
  • NTU COOL
  • 備註
    本課程以英語授課。
  • 本校選課狀況

    載入中
  • 課程概述
    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
  • 課程目標
    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
  • 課程要求
    Homework Mid term exam Final term exam
  • 預期每週課後學習時數
  • Office Hour
  • 指定閱讀
  • 參考書目
    Textbook: H. K. Khalil, Nonlinear System Analysis, 3rd edition, Prentice-Hall 2002 Reference: Vidyasagar, Nonlinear Systems Analysis, 2ed edition, SIAM 1993.
  • 評量方式
  • 針對學生困難提供學生調整方式
  • 課程進度
    9/5第 1 週Introduction
    9/12第 2 週Qualitative Behaviors
    9/19第 3 週Limit Cycles, Periodic Orbits; Bifurcations
    9/26第 4 週Contraction Mapping Theorem, Existence & Uniqueness
    10/3第 5 週Sensitivity analysis and comparison principle
    10/10第 6 週National Day
    10/17第 7 週Lyapunov stability
    10/24第 8 週Midterm
    10/31第 9 週Lyapunov Stability Linear Systems & Linearization
    11/7第 10 週Invariance Principle (Lyapunov Stability)
    11/14第 11 週LTV Systems; Linearization, Converse Theorems
    11/21第 12 週Non-autonomous system
    11/28第 13 週Non-autonomous system
    12/5第 14 週Converse Theorem
    12/12第 15 週Ultimate boundedness
    12/19第 16 週Final Exam