講義 - 2010年度

計測制御数学第一(2010年度 前学期)

Class Dates: 毎週木曜9:45-12:00
Class room: S512
Credit hours: 2-1-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2010_jp.html
Instructor: 早川朋久
Email: hayakawa[at]sc.e.titech.ac.jp
Office: 西8号館W棟402号室

Description:
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.

Projected course schedule:

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


Textbook:
1. Advanced Engineering Mathematics, Erwin Kreyszig, Wiley

References:
1. 応用解析学入門 白井宏著 コロナ社

Grading Policy:
    Exercises and assignments (20%); Mid-term exam (35%); Final exam (45%).

Your Current Status:
    Click here (accessible only on campus)

Announcements:
  •  4/8が初回開講日です

Linear Systems and Control (Fall/Winter 2010)

Class dates: Fridays, 10:40-12:10
Class room: Rm. H115, Main Building
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2010_LSC.html
Instructor: Tomohisa Hayakawa
Email: hayakawa[at]sc.e.titech.ac.jp
Office: Rm. W402, W8 Building

Description:
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.

Projected course schedule:
Lecture#
Date

Topics
Handouts
1
Oct. 1

Linear algebra and coordinate transformation

2
Oct. 8

Controllability and observability

3
Oct. 15

Realization of transfer functions

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

References:
  1. Linear Systems Theory and Design, C.-T. Chen, Oxford University Press, 1999
  2. Linear Systems, T. Kailath, Prentice-Hall, 1979

Grading Policy:
Assignments (30%); Final exam (70%).

Announcements:

Nonlinear and Adaptive Control (Fall/Winter 2010)


Class dates: Fridays, 10:40-12:10
Class room: Rm. H115, Main Building
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2010_NAC.html
Instructor: Tomohisa Hayakawa
Email: hayakawa[at]sc.e.titech.ac.jp
Office: Rm. W402, W8 Building

Description:

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:

  1. Nonlinear Systems, H.K. Khalil, Prentice Hall, 2001
  2. Applied Nonlinear Control, J.-J. Slotine and Weiping Li, Prentice Hall, 1990

Grading Policy:
Assignments (30%); Final exam (70%).

Announcements: