講義 - 2006年度

計測制御数学第一 (2006年度 前学期）
Class Dates: 毎週火曜9:45-12:00
Credit hours: 1-0-0
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, 及び確率統計の基礎を中心に解説する.

Projected course schedule:
Lecture#
 Date
 Topics
 Handouts
1 4月13日 複素数と複素関数 exercise1.pdf
2 4月20日 複素関数の微分 exercise2.pdf
3 4月27日 複素関数の積分


5月 4日 GW

4 5月11日 留数定理と定積分 exercise3.pdf
5 5月18日 ラプラス変換の基礎 exercise4.pdf
6 5月25日 ラプラス変換の性質 exercise5.pdf
7 6月 1日 CXL

8 6月 8日 フーリエ級数 exercise6.pdf
9 6月15日 Mid-Term Exam MT_exam.pdf
10 6月22日 フーリエ変換 exercise7.pdf
11 6月29日 フーリエ積分 exercise8.pdf
12 7月 6日 確率空間と確率分布 exercise9.pdf
13 7月 13日 平均と分散 exercise10.pdf
14 7月20日 中心極限定理


8 月 3日 Final Exam Final_exam.pdf

References:
  1. 応用解析学入門　白井宏著　コロナ社
  2. 確率と統計　渡辺澄夫・村田昇著　コロナ社

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

Announcements:
  • 7/31　７月６日実施の演習問題（問２）の解答をアップしました．　solution9_2.pdf
  • 8/3    得点表を更新しました．
  • 8/12　期末試験結果を掲示しました．


  

Linear Systems and Control (Fall/Winter 2006)
Class Dates: Fridays, 10:40-12:10
Credit hours: 1-0-0
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. 6
 Linear algebra and coordinate transformation
2
 Oct. 13
 Controllability and observability
3
 Oct. 20
 Realization of transfer functions
4
 Nov. 8 (Wed)
 Lyapunov stability theory and Lyapunov functions
5
 Nov. 10
 Positive real and bounded real theory
6
 Nov. 17
 Linear feedback control
 Exercise problems

Nov. 24
 FINAL EXAM Exam2006

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:
  • 11/22 Another typo was fixed in Problem 5.
  • 11/20 Three typos are fixed.
  • 11/17 Exercise problems are uploaded.
  • 10/5 First day of the class is tomorrow.


  

Nonlinear and Adaptive Control (Fall/Winter 2006)


Class Dates: Fridays, 10:40-12:10
Credit hours: 1-0-0
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
 Dec.1
 Nonlinear dynamical system theory (existence and uniqueness of solution)
2
 Dec.8
 Nonlinear dynamical system theory (Lyapunov's stability theory)

Dec.15
 No class
3
 Dec.22
 Nonlinear dynamical system theory (dissipativity theory)
4
 Jan.12
 Normal form representation

Jan. 19
 No class
5
 Jan.26
 Nonlinear adaptive control (1)
6
 Feb.2
 Nonlinear adaptive control (2)
 Exercise

Feb. 9
 FINAL EXAM Exam2006

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:
  • 2/14 You can check your score of the final exam here.
  • 2/5 Problem 5 has been simplified.
  • 2/4 Two typos have been corrected in the exercise problems.
  • 11/30 First day of the class is tomorrow.

Announcements

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