Control Engineering Ⅰ

Course Information

College	Akashi College	Year	2023
Course Title	Control Engineering Ⅰ
Course Code	5432	Course Category	Specialized / Compulsory
Class Format	Lecture	Credits	Academic Credit: 2
Department	Electrical and Computer Engineering Electrical Engineering Course	Student Grade	4th
Term	Second Semester	Classes per Week	2
Textbook and/or Teaching Materials
Instructor	ENOMOTO Ryuji

Course Objectives

1. Can use transfer functions to represent the input/output characteristics of a system.
2. Understand the system representation using the block diagram.
3. Can explain transient properties using step response.
4. Can explain steady-state properties using the steady-state deviation.
5. Can explain frequency characteristics using a Bode plot.
6. Can explain the stability criterion of the feedback control system (Nyquist stability criterion).

Rubric

	Ideal Level	Standard Level	Unacceptable Level
Achievement 1	Can derive a transfer function correctly.	Can explain how to derive a transfer function.	Do not know how to derive a transfer function.
Achievement 2	Can simplify a block diagram consisting of series, parallel, and feedback bonds.	Can simplify serial, parallel, and feedback bonds in a block diagram.	Do not understand the components of a block diagram.
Achievement 3	Can explain all the indicators for evaluating transient properties in step response.	Can explain some of the indicators for evaluating transient properties in step response.	Cannot explain the indicators for evaluating transient properties in step response at all.
Achievement 4	Can derive the calculation method of steady-state deviation and can calculate the steady-state deviation accurately.	Know the calculation method (formula) of stead-state deviation.	Cannot explain steady-state deviation.
Achievement 5	Can express the frequency response of a system obtained by combining the basic elements, in a Bode plot.	Can express the frequency response of some of the basic elements in a Bode plot.	Do not know a Bode plot.
Achievement 6	Can determine the stability of the feedback control system accurately using Nyquist stability criterion.	Can explain the policy for stability determination using the Nyquist stability criterion.	Cannot explain the Nyquist stability criterion.

Teaching Method

Outline:

While we are not very aware of in our daily lives, almost every device, including cars, air conditioners, and refrigerators, have a automatic control function.　In this lecture, students will learn the basics of classical control, focusing on transfer functions and frequency response. In addition, students will deepen their understanding of the class content through exercises given as assignments as appropriate.

Style:

The basics of transfer functions, block diagrams, time response, frequency response, and stability will be introduced.
In almost every lesson, students will be given an assignment to review the content of the class.

Notice:

By thinking and solving the exercises by themselves, the students become familiar with the calculations. Basic knowledge of Laplace conversion and reverse conversion is the premise of this course. Since this subject offer credits, students may not be eligible for passing depending on the submission and content of the assignments. The specific conditions will be shown during the lecture. This course's content will amount to 90 hours of study in total. These hours include the learning time guaranteed in classes and the standard self-study time required for pre-study / review, and completing assignment reports.
Students who miss 1/3 or more of classes will not be eligible for evaluation.

Characteristics of Class / Division in Learning

Active Learning

Applicable to Remote Class

Course Plan

			Theme	Goals
2nd Semester
	3rd Quarter
		1st	Introduction	Understand the objectives and the grading method, etc. of the course. Can explain how feedback control works.
		2nd	Laplace transform and inverse transform	Can describe the expression of the Laplace transform. Can calculate the inverse Laplace transform based on partial fraction decomposition or completing the square.
		3rd	Modeling with differential equations.	Can derive a model (differential equation) that represents the dynamic characteristics for a typical system.
		4th	Transfer functions	Can derive a transfer function using the Laplace transform.
		5th	Block diagrams	Can simplify series, parallel, and feedback bonds. Can simplify a block diagram consisting of the three bonds above.
		6th	Calculation of transient response	Can describe the expression of the Laplace transform. Can calculate the inverse Laplace transform based on partial fraction decomposition or completing the square.
		7th	The basic elements and their time response	Can explain the names of the six basic elements. Can explain the characteristics of the basic elements in terms of time response.
		8th	Evaluation metric of the time response	Can explain the evaluation metric of transient properties using step response. Can explain steady-state deviation. Can calculate steady-state deviation.
	4th Quarter
		9th	What is frequency response	Can explain the definition of frequency response. Can explain the frequency transfer function and the correspondence between gain and phase.
		10th	Vector locus	Can explain the characteristics of the vector locus of basic elements. Can draw a vector locus
		11th	Bode plots	Can explain the characteristics of Bode plots of a differential, integral, first-order lag factor, and second-order lag factor.
		12th	Combining Bode plots	Can combine Bode plots.
		13th	Stability of a control system	Can explain the stability condition. Can determine the stability from the position of the poles of the transfer function.
		14th	Stability criterion of a feedback control system	Can determine the stability of a feedback control system using Nyquist stability criterion.
		15th	Review	Review the content of classes in the second half of the semester.
		16th	Final exam

Evaluation Method and Weight (%)

	Examination	Exercise	Mutual Evaluations between students	Behavior	Portfolio	Other	Total
Subtotal	70	30	0	0	0	0	100
Basic Proficiency	0	0	0	0	0	0	0
Specialized Proficiency	70	30	0	0	0	0	100
Cross Area Proficiency	0	0	0	0	0	0	0