計測制御数学第一(2014度 前学期)
本講義では, 計測・制御工学を学んでいく上で必須となる数学的ツールを身に付けることを目的として, 複素関数論, ラプラス変換, フーリエ変換の基礎を中心に解説する. |
Lecture# | Dates |
Topics |
Exam/Exercise Problems |
Handouts |
1 | 4月10日 | 複素数 | exercise1.pdf | |
2 | 4月17日 | 複素関数 | exercise2.pdf | |
3 | 4月24日 | 複素関数の微分 | exercise3.pdf | |
4 | 5月1日 | 複素関数の積分 | exercise4.pdf | |
5月8日 | 火曜授業 | |||
5 | 5月15日 | ローラン展開と留数 | exercise5.pdf | |
6 | 5月29日 | 留数定理と定積分, 等角写像 | exercise6.pdf | |
7 | 6月12日 | Mid-Term Exam | MT_exam.pdf | |
8 | 6月19日 | ラプラス変換の基礎 | exercise7.pdf | |
9 | 6月26日 | ラプラス変換の性質 | exercise8.pdf | |
10 | 7月3日 | フーリエ級数 | exercise9.pdf | |
11 | 7月17日 | フーリエ変換, フーリエ積分 | exercise10.pdf | |
12 | 7月24日 | Final Exam | Final_exam.pdf |
1. | Advanced Engineering Mathematics, | Erwin Kreyszig, Wiley |
1. | 応用解析学入門 白井宏著 コロナ社 |
2. | 基礎工業数学 野木達夫著 朝倉書店 |
Linear Systems and Control (Fall/Winter 2014)
Introduction to linear systems theory and feedback control. This course provides a foundation of modern control theory and also covers several advanced topics in linear dynamical systems. |
Lecture# |
Date |
Topics |
Handouts |
|
1 |
Oct. 3 |
Linear algebra and coordinate
transformation |
||
2 |
Oct. 15 |
Controllability and observability |
||
3 |
Oct. 17 |
Realization of transfer functions |
||
4 |
Oct. 24 |
Lyapunov stability theory and Lyapunov
functions |
||
5 |
Oct. 31 |
Positive real and bounded real
theory |
||
6 |
Nov. 7 |
Linear feedback control |
||
Nov. 14 |
FINAL EXAM | Exam2014 |
Nonlinear and Adaptive Control (Fall/Winter 2014)
Theory and application of nonlinear and adaptive control systems. Discussed are methods of on-line parameter identification and adaptive control for nonlinear systems with uncertain parameters. To this end, Lyapunov stability theory and Lyapunov functions for general nonlinear systems are examined in the first half of the course. |
Projected course schedule:
Lecture# |
Date |
Topics |
Handouts |
|
1 |
Nov. 21 |
Nonlinear dynamical system theory (existence and uniqueness of solution) |
||
2 |
Nov. 28 |
Nonlinear dynamical system theory (Lyapunov's stability theory) |
||
3 |
Dec. 5 |
Nonlinear dynamical system theory (dissipativity theory) |
||
4 |
Dec. 12 |
Normal form representation |
||
5 |
Jan. 9 |
Nonlinear adaptive control (1) |
||
6 |
Jan. 23 |
Nonlinear adaptive control (2) |
||
Jan. 30 |
FINAL EXAM | Exam2014 |
References: