Analysis and Design of Linear Control Systems, Summer,
2005-2015

(システム制御特論)


Instructor

Prof. Masayuki Fujita

Department of Control and Systems Engineering, Tokyo Tech

Office: S5-303B

Website: here

Course Description

The purpose of this cource is to provide an introduction to the basic principles and tools for the design and analysis of feedback systems.

Course Learning Outcomes

An ability to apply knowledge of the basic principles and tools for the design and analysis of feedback systems.

Textbooks

[1] K. J. Astrom and R. M. Murray, "Feedback Systems," Princeton University Press, 2009. (ISBN-10: 0-691-13576-2)

The following additional texts may be useful for some students.

[2] T. Sugie and M. Fujita, "Introduction to Feedback Control (フィードバック制御入門)," Corona Publishing Co., LTD., 1999. (ISBN-10: 4-339-03303-0)
[3] J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, "Feedback Control Theory," Macmillan, New York, 1992. Re-published version, Dover Publications, 2008. (ISBN-10: 0-486-46933-6)

Lecture Schedule

Schedule
Lecture Reading Assignments/Keywords Handouts
1st Reading Assignments:
11 Frequency Domain Design
   11.1 Sensitivity Functions [pp. 315-319]
   (12.2 Youla Parametrization [pp. 352-358])
   11.3 Performance Specifications [pp. 322-326]
   (12.3 Performance in the Presence of Uncirtainty [pp. 358-361])
   (11.5 Fundamental Limitations [pp. 331-340])
Keywords:
Basic Feedback Loop, Gang of Four, Internal Stability, Youla Parameterization, Sensitivity Function
 
2nd Reading Assignments:
12 Robust Performance
   12.1 Modeling Uncertainty [pp. 347-352]
   (9.2 The Nyquist Criterion [pp. 270-278])
   9.3 Stability Margins [pp. 278-282]
   12.2 Stability in the Presence of Uncirtainty [pp. 352-358]
   (12.3 Performance in the Presence of Uncertainty [pp. 358-361])
   (11.5 Fundamental Limitation [pp. 331-340])
Keywords:
Modeling Uncertainty, Robust Stability, Stability Margin, Complemantary Sensitivity Function, Small Gain Theorem
 
3rd Reading Assignments:
11 Frequency Domain Design
   11.4 A Feedback Design via Loop Shaping [pp. 326-331]
   (9.4 Bode's Relations and Minimum Phase Systems [pp. 283-285])
   11.5 Fundamental Limitations [pp. 331-340]
Keywords:
Loop Shaping, Bode's Relations, Right Half-Plane Poles and Zeros, Gain Crossover Frequency Inequality
 
4th Reading Assignments:
11 Frequency Domain Design
   11.5 Fundamental Limitations [pp. 331-340]
Keywords:
Right Half-Plane Poles and Zeros, Gain Crossover Frequency Inequality
 
5th Reading Assignments:
12 Robust Performance
   12.4 Robust Pole Placement: Examples [pp. 362-365]
Keywords:
Robust Pole Placement, Slow Stable Process Zeros, Fast Stable Process Poles
 
6th Reading Assignments:
10 PID Control [pp. 293-313]
11 Frequency Domain Design
   11.4 A Feedback Design via Loop Shaping [pp. 326-331]
Keywords:
PID Control, Ziegler-Nichol's Tuning, Lead and Lag Compemsation
 
7th Reading Assignments:
11 Frequency Domain Design
   11.4 Feedback Design via Loop Shaping: Example [pp. 326-331]
   11.2 Feedforward Design [pp. 319-322]
   11.3 Performance Specifications [pp. 322-326]
Keywords:
Lead and Lag Compensation, Feedforward, 2 Degree of Freedom, Time Domain Analysis, Step Response
 

Prerequisites

Basic knowledge of feedback control. (e.g. Transfer Functions, Frequency Domain Analysis)

If you have never taken any class for feedback control, contact TA by e-mail in advance.