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:
References:
- Advanced Engineering
Mathematics, Erwin Kreyszig, Wiley
- 応用解析学入門 白井宏著 コロナ社
- 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%).
Your Current Status:
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Announcements:
Linear Systems and Control
(Fall/Winter 2007)
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. 5
|
Linear algebra and coordinate
transformation
|
|
2
|
Oct. 12
|
Controllability and observability
|
|
3
|
Oct. 19
|
Realization of transfer functions
|
|
4
|
Nov. 2
|
Lyapunov stability theory and
Lyapunov functions
|
|
5
|
Nov. 9
|
Positive real and bounded real
theory
|
|
6
|
Nov. 16
|
Linear feedback control
|
Exercise problems
|
|
Nov. 22
(Thu)
|
FINAL EXAM |
Exam2007
|
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 2007)
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
|
Nov.3
|
Nonlinear dynamical system theory (existence and uniqueness of solution)
|
|
|
Dec.7
|
No class
|
|
|
Dec.14
|
No class
|
|
2
|
Jan.11
|
Nonlinear dynamical system theory (Lyapunov's stability theory)
|
|
3
|
Jan.16 (Wed)
|
Nonlinear dynamical system theory (dissipativity theory)
|
|
4
|
Jan.25
|
Normal form representation
|
|
5
|
Jan.30 (Wed)
|
Nonlinear adaptive control (1)
|
|
6
|
Feb.1
|
Nonlinear adaptive control (2)
|
Ecsercise problems
|
|
Feb. 8
|
FINAL EXAM |
Exam2007
|
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: