Course Overview

This course introduces the feedback control theory for linear dynamical systems. First, system modeling is considered in frequency, Laplace, and time domains with the notions of frequency transfer function, transfer function, and impulse response. Then, the pros and cons of feedback control are explained in comparison with feedforward control. Finally, control system design is also treated for stabilization as well as better steady-state and transient performances.

Learning Achievement

Students can acquire the abilities
1) to derive mathematical models of dynamical systems based on the knowledge on fundamental physics such as mechanics and electrical circuit and so on.
2) to draw Bode diagrams and vector locus correctly based on understanding of frequency response of linear systems.
3) to derive transfer functions of systems with using Laplace transform.
4) to derive time response of systems based on the knowledge on Laplace transform.
5) to judge whether systems are stable or not, based on the knowledge on transfer functions.
6) to judge whether feedback control systems are stable or not, by Nyquist stability criteria.
7) to show methods for improving the performance of feedback control systems based on understanding of frequency response of linear systems.

Competence

Related to 1. Mathematical logic and calculation skills, and 5. Skills in the field of Macro Engineering and Systems Engineering.

Course prerequisites

Students are expected to understand the basics of complex analysis.

Grading Philosophy

Mid-term exam: 50%, Term-end exam: 50%. Students are required to attend all the lessons. The credit may not be recognized unless you attend more than two-thirds of the lessons.

Course schedule

In 2022, the course will be held in a hybrid format, that is, both online and in a class room simultaneously. Course resumes will be open before each　lesson.

Week 1: Frequency response
Week 2: Frequency transfer function, Bode diagram and Vector locus
Week 3: Time response derivation by Laplace transform
Week 4: Transfer function
Week 5: Impulse response
Week 6: Stability of a linear system
Week 7: Effects of feedback
Week 8: Nyquist stability criteria
Week 9: Transient and Steady-state characteristics of control systems.
Week 10: Control system design

Course type

Lectures

Online Course Requirement

Instructor

Mochiyama Hiromi

Other information

The contents of this course is Classical Control Theory while those of Control System I is Modern Control Theory. Students are encouraged to take Control System I as well because both are strongly related for better understanding of control theory.
Students are also advised to do weekly homework positively.

Relation to Other Courses: Complex Analysis, System Modeling, Control Systems I

Site for Inquiry

Link to the syllabus provided by the university