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課程名稱 |
系統動態學
SYSTEM DYNAMICS |
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開課學期 |
99-1 |
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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 |
星期三3,4,@(10:20~) |
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上課地點 |
綜202 |
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備註 |
系統控制知識領域選修。
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/991_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 |
每週一 13:20~14:10
每週五 13:20~14:10 |
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指定閱讀 |
1. T.D. Burton, Introduction to Dynamic Systems Analysis, McGraw-Hill, 1994.
(Chapters 1-6,10)
2. J. H. Ginsberg, Advanced Engineering Dynamics, 2nd version, Cambridge. (Chapter 6)
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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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No. |
項目 |
百分比 |
說明 |
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1. |
Bonus Credit |
10% |
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2. |
Term Project |
30% |
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3. |
Homework |
20% |
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4. |
Quiz |
20% |
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5. |
Final Exam |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/15 |
Introduction - system dynamics, system classification, causality, ODE models, state variables, state space models, simple translation systems |
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第2週 |
9/22 |
Holiday: Mid-Autumn Festival |
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第3週 |
9/29 |
System modeling and classification.
Rotational systems, vibration, distributed parameter systems (PDE model).
Homework Assignments |
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第4週 |
10/06 |
Homework 1 discussion, derivation of Lagrange's equation |
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第5週 |
10/13 |
Quiz 1, Lagrange's equation, Hamilton's principle |
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第6週 |
10/20 |
Derivation of Lagrange's equation |
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第7週 |
10/27 |
Derivation of Lagrange's equation using Hamilton's principle. Examples. |
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第8週 |
11/03 |
Modeling of hydraulic, pneumatic, and electromagnetci (HPE) systems. |
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第9週 |
11/10 |
Quiz 2, Homework 2 due date |
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第10週 |
11/17 |
Term project proposal due;
Electrical elements, circuit examples, impedance & amplifiers, electric motors |
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第11週 |
11/24 |
Electrical and electromechanical systems |
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第12週 |
12/01 |
Homework 3 due date; dynamic system analysis, system responses:time response, frequency response, phase portrait; natural response vs forced response; transfer functions vs state space models; canonical forms. |
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第13週 |
12/08 |
Quiz 3, State space models, Transfer functions, Canonical forms, time response, phase portrait, eigenvalues, eigenvectors, linear system stability analysis |
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第14週 |
12/15 |
Homework 4 due; stability, linear systems vs nonlinear systems |
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第15週 |
12/22 |
Quiz 4; state space analysis for NLS, stable/unstable manifold |
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第16週 |
12/29 |
Singular perturbation, time constants of dynamical systems, bandwidth, piecewise linear systems |
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第18週 |
1/12 |
Final exam |
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