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課程名稱 |
系統動態學
System Dynamics |
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開課學期 |
102-1 |
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授課對象 |
工學院 機械工程學系 |
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授課教師 |
李 綱 |
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課號 |
ME5214 |
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課程識別碼 |
522 U4970 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期四6,7,8(13:20~16:20) |
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上課地點 |
工綜205 |
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備註 |
系統控制知識領域選修。中英文授課。
總人數上限：40人
外系人數限制：5人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1021_Sys_Dyna |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
Course Outlines:
1. Modeling of mechanical systems: Lagrangian mechanics
2. Modeling of electrical and electromechanical systems
3. Modeling of thermal and fluid systems
4. Modeling of manufacturing systems, biological systems, economic systems (optional)
5. Analysis of continuous-time and discrete-time linear systems:
a. equilibrium point
b. eigenvalue & stability
c. phase portrait (state space trajectory)
6. Analysis of piecewise linear systems such as linear systems with static non-linearity like friction, and dead-zone, etc.
7. Analysis of nonlinear systems:
a. equilibrium points
b. linearization
c. stable and unstable manifolds
d. phase portrait
8. Limit cycle of nonlinear systems and stability analysis |
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課程目標 |
Course Objectives:
1. Modeling of dynamic systems including mechanical, electrical, electromechanical, manufacturing, biological, and economic systems, etc.
2. Analysis of dynamic systems for control system design.
3. Using computer aided simulation tools to perform modeling and analysis of dynamic systems. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
每週二 12:20~13:10
每週四 13:20~14:10 |
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指定閱讀 |
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參考書目 |
1. W. J. Palm III, System Dynamics, 2nd ed, McGraw-Hill, 2010. (Chapters 5-6)
2. G. Rizzoni, Principles and Applications of Electrical Engineering, 2nd ed, 1996. |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
09/19 |
Course introduction |
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Week 2 |
09/26 |
Module 1: Introduction of Dynamic Systems |
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Week 3 |
10/03 |
Module 2: Lagrangian Dynamics |
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Week 4 |
10/10 |
Holiday |
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Week 5 |
10/17 |
Module 2 - Lagrangian dynamics |
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Week 6 |
10/24 |
Quiz; Introduction of Matlab/Simulink and physical modeling by MapleSim |
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Week 7 |
10/31 |
Derivation of Lagrange's equations |
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Week 8 |
11/7 |
Examples of using Lagrange's equation for developing dynamical system models |
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Week 9 |
11/14 |
Module 3 Engineering Models in State Space
- Incompressible fluid systems,electrical systems, thermal energy systems, process (chemical) engineering systems
(Progress report 2 due) |
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Week 10 |
11/21 |
Module 4: State Space Analysis |
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Week 11 |
11/28 |
Quiz 2; State Space Analysis: state space models; observable/controllable canonical forms; Jordan/diagonal forms; diagonalization |
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Week 12 |
12/05 |
State Space Analysis - Linear Systems; autonomous and non-autonomous systems; equilibrium points; change of basis; eigen-vectors; eigen-values; eigen-solutions; similarity transformation; |
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Week 13 |
12/12 |
Module 4: State Space Analysis: phase portraits of autonomous and non-autonomous systems, real and complex eigen-values, two time-scale systems, parameter perturbation, model order reduction |
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Week 14 |
12/19 |
Midterm exam; State space analysis of nonlinear systems |
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Week 15 |
12/26 |
State space analysis for nonlinear systems |
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Week 16 |
01/02 |
Module 5; |
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Week 17 |
01/09 |
Oral presentation of term the project, final report due |
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