DSL-Lectures

講義 - 2013年度

計測制御数学第一（2013度前学期）

Class Dates: 毎週木曜9:00-12:15
Class room: W933
Credit hours: 2-1-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2013_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11日	複素数
2	4月18日	複素関数
3	4月25日	複素関数の微分
4	5月2日	複素関数の積分
5	5月16日	ローラン展開と留数
6	5月23日	留数定理と定積分, 等角写像
7	5月30日	Mid-Term Exam
8	6月 6日	ラプラス変換の基礎
9	6月13日	ラプラス変換の性質
10	6月27日	フーリエ級数
11	7月 11日	フーリエ変換, フーリエ積分
12	7月25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
2.	基礎工業数学　野木達夫著　朝倉書店

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

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Announcements:

4/11が初回開講日です

Lectures - 2013

Linear Systems and Control (Fall/Winter 2013)

Class dates: Fridays, 10:45-12:15
Class room: W831
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2013_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. 3	Linear algebra and coordinate transformation
	Oct. 9	No class
2	Oct. 18	Controllability and observability
3	Oct. 25	Realization of transfer functions
4	Nov. 1	Lyapunov stability theory and Lyapunov functions
5	Nov. 8	Positive real and bounded real theory
6	Nov. 15	Linear feedback control
	Nov. 22	FINAL EXAM	Exam2013

References:

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

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

Announcements:

Lectures - 2013

Nonlinear and Adaptive Control (Fall/Winter 2013)

Class dates: Fridays, 10:45-12:15
Class room: W831
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2013_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. 29	Nonlinear dynamical system theory (existence and uniqueness of solution)
2	Dec. 6	Nonlinear dynamical system theory (Lyapunov's stability theory)
3	Dec. 20	Nonlinear dynamical system theory (dissipativity theory)
4	Jan. 10	Normal form representation
5	Jan. 24	Nonlinear adaptive control (1)
6	Jan. 24	Nonlinear adaptive control (2)
	Feb. 7	FINAL EXAM	Exam2013

References:

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

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

Announcements: