5472 - 數理控制

Mathematical Control

教育目標 Course Target

針對物理、工程所對應的系統,整合學生在大學所學習的線性代數、微分方程、複變數函數等理論的能力,以線性系統的架構來描述之,設定控制目標並設計對應的控制器來驅動系統達成控制目標。
The course deals with linear spaces, linear operator theory, existence and uniqueness of solutions of differential equations, the fundamental matrix solution, state transition matrix, Lyapunov stability, controllability, observability feedback, pole placement, observers, output feedback. Special topics include Kalman filtering, linear quadratic regulator optimal control, geometric linear control.

The system corresponding to physics and engineering is integrated with the students' ability to discuss linear aging, differential equations, complex functions and other theories learned by students at university, and describe it as the architecture of the linear system, set the control target and design the corresponding controller to drive the system to achieve the control target.
The course deals with linear spaces, linear operator theory, existence and unique of solutions of differential equations, the fundamental matrix solution, state transition matrix, Lyapunov stability, controlability, observability feedback, pole placement, observers, output feedback. Special topics include Kalman filtering, linear quadratic regulator optical control, geometric linear control.

參考書目 Reference Books

1. 授課講義
2. Gene F. Franklin, J. Da Powell, and Abbas Emami-Naeini, Feedback Control of Dynamic Systems, 6th ed., Prentice Hall, 2009.
3. John Doyle, Bruce Francis, and Allen Tannenbaum, Feedback Control Theory, Macmillan Publishing Co., 1990.

1. Teaching lecture
2. Gene F. Franklin, J. Da Powell, and Abbas Emami-Naeini, Feedback Control of Dynamic Systems, 6th ed., Prentice Hall, 2009.
3. John Doyle, Bruce Francis, and Allen Tannenbaum, Feedback Control Theory, Macmillan Publishing Co., 1990.

評分方式 Grading

評分項目
Grading Method
配分比例
Percentage
說明
Description
作業
Action
40 習題
期中考
Midterm exam
30 自行安排
期末考
Final exam
30 是課程進行,學生可自選主題,提出報告

授課大綱 Course Plan

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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 5472
  • 學分 Credit: 0-3
  • 上課時間 Course Time:
    Tuesday/2,3,4[ST527]
  • 授課教師 Teacher:
    黃皇男
  • 修課班級 Class:
    應數系3,4,碩1,2
  • 選課備註 Memo:
    大學部可抵專題;3-4年級可修
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 7 人

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