達成目標 | 学修・教育到達目標との対応 | |
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1. | student can solve simple differential equations applying of the Laplace transformation, and derive transfer function of the system |
G-1
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2. | student can obtain time response for system up to 3rd order |
G-1
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3. | student can determine stability of system |
G-1
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4. | student can obtain frequency response and Bode diagram including physical interpretations |
G-1
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5. | students can draw a block diagram of given system |
G-1
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授業計画 | 授業時間外課題(予習および復習を含む) | 必要学習時間 | |
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1. | -course guidance -description of linear system |
dynamics/statics, inearity/nonlinearity, δ function, convolution integralresponse, time constant, gain | 200分 |
2. | -Laplace transformation-1: definition and useful theorems | preparation of PPT slides, theorems of Laplace transformation, l'Hospitals theorem, Heaviside's theorem | 200分 |
3. | -Laplace transformation-2: application for solving differential equations | preparation of PPT slides, partial fraction decomposition, Laplace inverse transformation | 200分 |
4. | -response of 1st order system | preparation of PPT slides, impulse/step response, time constant, gain | 200分 |
5. | -response of 2nd order system-1 | preparation of PPT slides, impulse/step response, damping coefficient, natural angular frequency, gain | 200分 |
6. | -response of 2nd order system-2 | preparation of PPT slides, collapse of a bridge | 200分 |
7. | -examples of physical model | preparation of PPT slides, RC circuit, mass-spring-damper system | 200分 |
8. | -system stability-1: 1st/2nd order system case | preparation of PPT slides, RC circuit, mass-spring-damper system | 200分 |
9. | -system stability-2: general case | preparation of PPT slides, Hurwitz criterion, determinant of matrix | 200分 |
10. | -block diagram | preparation of PPT slides, integrator | 200分 |
11. | -frequency characteristics-1: definition and physical interpretation | preparation of PPT slides, output for sinusoidal input, rationalization of complex number | 200分 |
12. | -frequency characteristics-2: dB gain and phase shift | preparation of PPT slides, amplitude ratio, phase shift, logarithmic function | 200分 |
13. | -frequency characteristics-3: Bode diagram | preparation of PPT slides, vector diagram, MATLAB/Simulink | 200分 |
14. | -final exam -solution and comment |
misunderstanding and pitfall | 200分 |
合計 | - | - | 2800分 |
assignment | final exam | 合計 | |
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1. | 10% | 20% | 30% |
2. | 10% | 15% | 25% |
3. | 5% | 5% | 10% |
4. | 10% | 15% | 25% |
5. | 5% | 5% | 10% |
合計 | 40% | 60% | - |
実務経験 | 具体的内容 |
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該当する | Applying Fourier/Laplace transformations, lecturer designed practical controller. In lecture, some comments are made for practical image. |