DSL-Lectures

講義 - 2015年度

計測制御数学第一（2015年度前学期）

Class Dates: 毎週木曜9:00-12:15
Class room: H136
Credit hours: 2-1-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2014_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9日	複素数	exercise1.pdf
2	4月16日	複素関数	exercise2.pdf
3	4月23日	複素関数の微分	exercise3.pdf
4	5月7日	複素関数の積分	exercise4.pdf
5	5月14日	ローラン展開と留数	exercise5.pdf
6	5月21日	留数定理と定積分, 等角写像	exercise6.pdf
7	5月28日	Mid-Term Exam	MT_exam.pdf
8	6月4日	ラプラス変換の基礎	exercise7.pdf
9	6月11日	ラプラス変換の性質	exercise8.pdf
10	6月18日	フーリエ級数	exercise9.pdf
11	6月25日	フーリエ変換, フーリエ積分	exercise10.pdf
12	7月2日	Final Exam	Final_exam.pdf

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%).

Your Current Status:
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Announcements:

4/9が初回開講日です

Linear Systems and Control (Fall/Winter 2015)

Class dates: Fridays, 10:45-12:15
Class room: W832
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2015_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. 2	Linear algebra and coordinate transformation
2	Oct. 16	Controllability and observability
3	Oct. 23	Realization of transfer functions
4	Oct. 30	Lyapunov stability theory and Lyapunov functions
5	Nov. 6	Positive real and bounded real theory
6	Nov. 13	Linear feedback control
	Nov. 20	FINAL EXAM

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:

Nonlinear and Adaptive Control (Fall/Winter 2015)

Class dates: Fridays, 10:45-12:15
Class room: W832
Credit hour: 1-0-0
Web: http://www.dsl.sc.e.titech.ac.jp/lectures2015_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. 27	Nonlinear dynamical system theory (existence and uniqueness of solution)
2	Dec. 4	Nonlinear dynamical system theory (Lyapunov's stability theory)
3	Dec. 11	Nonlinear dynamical system theory (dissipativity theory)
4	Jan. 8	Normal form representation
5	Jan. 22	Nonlinear adaptive control (1)
6	Jan. 29	Nonlinear adaptive control (2)
	Feb. 5	FINAL EXAM

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: