Fundamentals of Control Theory

Course title

V0640500

Click to show questionnaire result at 2019

Course description

Control engineering plays an important role in real systems. There are two types of control, the first one is classic control based on transfer functions, and the second one is modern control based on state-space representation. This course is focused on classic control.

Purpose of class

Lecture of classic control based on transfer function approach.

Goals and objectives

Can understand system modeling and state response of systems.
Can understand poles, stability and stability criteria of systems.
Can perform system analysis and design based on frequency transfer functions

Language

Japanese(English accepted)

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Introduction of the course. What is Control?	Investigate what control means in a practical control system	190minutes
2.	Mathematical modeling of systems	Physical and mathematical modeling of systems. Review the definition of derivative, integral and differential equations	190minutes
3.	Transfer functions	Review of Laplace transforms and ODEs	190minutes
4.	Transfer functions and block diagram	Review of Laplace transforms, ODEs and block diagrams with signal transfer	190minutes
5.	Review and question, explanation of middle report 1	Review of system modeling, Laplace transforms	190minutes
6.	Response of systems	Review of Laplace transforms and inverse Laplace transforms, and how to use them in solving ODEs	190minutes
7.	Response property of systems	Try to use MATLAB/Simulink to plot system states	190minutes
8.	Response of second-order systems	Try to understand properties of second-order systems with different parameters in real applications	190minutes
9.	Stability criteria	Review of polynomials with real coefficients and the zeros of polynomials	190minutes
10.	Review/question and explanation of middle report 2	Review. exercise and discussion	190minutes
11.	Design of control systems and its stability	Check the definition and the meaning of stability in feedback control systems with inputs and disturbances	190minutes
12.	PID control	Investigate the history and prepare the structure of PID control	190minutes
13.	Steady state property of feedback control systems	Check the definition and the meaning of steady state errors in feedback control systems	190minutes
14.	Bode diagrams, explanation of final report and discussion	Investigate the definition and meaning of Bode diagrams, review of the entire course with examples and exercises	190minutes
Total.	-	-	2660minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Middle reports and final report	Total.
1.	40%	40%
2.	40%	40%
3.	20%	20%
Total.	100%	-

Evaluation method and criteria

Evaluate by middle report 1 (30%), middle report 2 (30%) and final report (40%).

Pass when reaching 60% in the whole evaluation, or in other words, reaching the level of deriving the transfer function of simple control systems, and then obtaining the solution of the system together with some stability analysis and frequency design.

Textbooks and reference materials

SATO, HIRAMOTO, HIRATA: The First Course in Control Engineering, Koudansha

Prerequisites

Desirable to have basic knowledge about calculus, linear algebra and Laplace transform.

Office hours and How to contact professors for questions