計測制御数学第一(2010年度 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8日 | 複素数と複素関数 | exercise1.pdf | |
2 | 4月15日 | 複素関数の微分 | exercise2.pdf | |
3 | 4月22日 | 複素関数の積分 | exercise3.pdf | |
4 | 5月 6日 | ローラン展開と留数 | exercise4.pdf | |
5 | 5月13日 | 留数定理と定積分 | exercise5.pdf | |
6 | 5月20日 | 等角写像 | exercise6.pdf | |
7 | 5月27日 | 複素関数まとめ | exercise7.pdf | |
8 | 6月 3日 | Mid-Term Exam | MT_exam.pdf | |
9 | 6月10日 | ラプラス変換の基礎 | exercise8.pdf | |
10 | 6月17日 | ラプラス変換の性質 | exercise9.pdf | |
11 | 6月24日 | ラプラス変換まとめ | exercise10.pdf | |
12 | 7月16日 | フーリエ級数 | exercise11.pdf | |
13 | 7月29日 | フーリエ変換 | ||
14 | フーリエ積分 | |||
8月 6日 | Final Exam |
1. | Advanced Engineering Mathematics, | Erwin Kreyszig, Wiley |
1. | 応用解析学入門 白井宏著 コロナ社 |
Linear Systems and Control (Fall/Winter 2010)
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. 1 |
Linear algebra and coordinate transformation |
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2 |
Oct. 8 |
Controllability and observability |
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3 |
Oct. 15 |
Realization of transfer functions |
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4 |
Oct. 29 |
Lyapunov stability theory and Lyapunov functions |
||
5 |
Nov. 12 |
Positive real and bounded real theory |
||
6 |
Nov. 19 |
Linear feedback control |
||
Dec. 17 |
FINAL EXAM | Exam2010 |
Nonlinear and Adaptive Control (Fall/Winter 2010)
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. 26 |
Nonlinear dynamical system theory (existence and uniqueness of solution) |
||
2 |
Dec. 3 |
Nonlinear dynamical system theory (Lyapunov's stability theory) |
||
3 |
Dec. 10 |
Nonlinear dynamical system theory (dissipativity theory) |
||
4 |
Jan. 7 |
Normal form representation |
||
5 |
Jan. 21 |
Nonlinear adaptive control (1) |
||
6 |
Jan. 28 |
Nonlinear adaptive control (2) |
||
Feb. 4 |
FINAL EXAM | Exam2010 |
References: