## Course Title : Control Engineering

Code 60260 3rd year 1st term 2 No Restriction Lecture T. Hagiwara, E. Furutani

### Course Description

This course covers a basic theory of feedback control for linear continuous-time systems in the frequency domain. The fundamentals of control systems are lectured on through such concepts as the Laplace transformation, transfer functions, block diagrams, transient responses, frequency responses, and stability criteria. The course proceeds in parallel to the contents of Chapters 1 through 4 and the former half of Chapter 5 of the textbook. The stress of the lecture, however, is placed on the theoretical framework, the basic concepts, and their interrelations. Hence some topics are left to the spontaneous studies of the class members, who are also supposed to work on assignments to have better understanding.

The assignments are only for motivating review; the grading will be based on the exam.

### Course Goals

To understand the basic treatment of linear feedback systems in the frequency domain, particularly the Laplace transformation and its role, the transient responses, stability and performance evaluation of feedback systems, frequency responses, as well as their relations.

### Course Topics

Theme Class number of times Description
Feedback systems and the Laplace transformation 4〜5 Fundamental notions for feedback systems, history and roles of control technologies, the Laplace transformation as a key tool for dealing with feedback control systems, and transfer functions.
Block diagrams and feedback control systems 3〜4 Block diagrams and their equivalent transformations, the performance of feedback control systems and its evaluation, basic properties of feedback control systems and their roles observed through the analysis of step responses of simple examples.
Transient responses and stability of systems 1〜2 Transient responses of systems and algebraic stability criteria of feedback systems.
Frequency responses 4〜5 Frequency responses and their representation such as the vector loci and the Bode diagrams, manipulations of Bode diagrams, the Nyquist stability criterion, and stability margins. Checking degrees of understanding of all the lecture topics, e.g., through comments on the exam, closes the class.

### Prerequisite(s)

Theory of functions in complex variables, as well as basic understanding about complex numbers.

### Web Sites

(from within the university) http://www-lab22.kuee.kyoto-u.ac.jp/~hagiwara/ku/AC/