This course provides fundamentals of the control engineering including some mathematical preliminaries, which is applied to
various automation devices. The main topics of the class are Laplace transforms, transfer functions, transient characteristics,
block diagrams and frequency characteristics. To complete this course, it is necessary to check some basics of physics and
calculus including simple linear differential equation.

This course is a prerequisite to Basic Control Engineering.

This course is a prerequisite to Basic Control Engineering.

Topics cover linear system theory; mainly responses of 1st/2nd order system, stability and frequency analyses.

- student can solve simple differential equations applying of the Laplace transformation, and derive transfer function of the system
- student can obtain time response for system up to 3rd order
- student can determine stability of system
- student can obtain frequency response and Bode diagram including physical interpretations
- students can draw a block diagram of given system

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1. | -course guidance -description of linear system |
dynamics/statics, inearity/nonlinearity, δ function, convolution integralresponse, time constant, gain | 200minutes |

2. | -Laplace transformation-1: definition and useful theorems | preparation of PPT slides, theorems of Laplace transformation, l'Hospitals theorem, Heaviside's theorem | 200minutes |

3. | -Laplace transformation-2: application for solving differential equations | preparation of PPT slides, partial fraction decomposition, Laplace inverse transformation | 200minutes |

4. | -response of 1st order system | preparation of PPT slides, impulse/step response, time constant, gain | 200minutes |

5. | -response of 2nd order system-1 | preparation of PPT slides, impulse/step response, damping coefficient, natural angular frequency, gain | 200minutes |

6. | -response of 2nd order system-2 | preparation of PPT slides, collapse of a bridge | 200minutes |

7. | -examples of physical model | preparation of PPT slides, RC circuit, mass-spring-damper system | 200minutes |

8. | -system stability-1: 1st/2nd order system case | preparation of PPT slides, RC circuit, mass-spring-damper system | 200minutes |

9. | -system stability-2: general case | preparation of PPT slides, Hurwitz criterion, determinant of matrix | 200minutes |

10. | -block diagram | preparation of PPT slides, integrator | 200minutes |

11. | -frequency characteristics-1: definition and physical interpretation | preparation of PPT slides, output for sinusoidal input, rationalization of complex number | 200minutes |

12. | -frequency characteristics-2: dB gain and phase shift | preparation of PPT slides, amplitude ratio, phase shift, logarithmic function | 200minutes |

13. | -frequency characteristics-3: Bode diagram | preparation of PPT slides, vector diagram, MATLAB/Simulink | 200minutes |

14. | -final exam -solution and comment |
misunderstanding and pitfall | 200minutes |

Total. | - | - | 2800minutes |

assignment | final exam | Total. | |
---|---|---|---|

1. | 10% | 20% | 30% |

2. | 10% | 15% | 25% |

3. | 5% | 5% | 10% |

4. | 10% | 15% | 25% |

5. | 5% | 5% | 10% |

Total. | 40% | 60% | - |

-assignments(40%)

-final exam(60%)

The necessary conditions for accreditation are:

1) All assignments should be submitted, and

2) Final exam has been sat

Accreditation criteria is to be able to solve and explain problems in assignments to get more than 60 points on the total evaluation.

-final exam(60%)

The necessary conditions for accreditation are:

1) All assignments should be submitted, and

2) Final exam has been sat

Accreditation criteria is to be able to solve and explain problems in assignments to get more than 60 points on the total evaluation.

- 13:30-17:00 on Mon.-Wed.
- student needs appointment

- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills

Work experience | Work experience and relevance to the course content if applicable |
---|---|

Applicable | Applying Fourier/Laplace transformations, lecturer designed practical controller. In lecture, some comments are made for practical image. |

- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE

Last modified : Sat Mar 19 04:42:07 JST 2022