Course Title : Applied Hybrid System Engineering

Code 10C621
Course Year Master Course
Term 1st term
Class day & Period
Credits 2
Restriction No Restriction
Lecture Form(s) Lecture
Instructor Takashi Hikihara,Shinji Doi,

Course Description

Many engineering systems show hybrid dynamical structure, which is accompanied with discrete change of vector flow by control and regulate the trajectory to target dynamically. In the course, the fundamental characteristics and theorems are lectured. The framework of hybrid system, automaton model, and singular perturbation theorem are explain. Dynamic quantizer, power system, and network are picked up as examples.


Exercise and repots are evaluated.

Course Goals

Students are requested to understand the characteristics of hybrid system, approaching method, and control methods.

Course Topics

Theme Class number of times Description
Fundamentals of hybrid system 4 As fundamentals, the definition of hybrid system and the method of modeling is explained.
Singular perturbation and asymptotic expansion 3 Singular perturbation theorema and asymptotic expansion are explained. For the global oscillation of singular perturbed system, analytical and geometrical singular perturbation methods are introduced.
Application of hybrid system-1: power system 3 The application to power system is explained. The outline of power system, then safety and examination, the stability analysis, and the modeling towards control are given.
Application of hybrid system-2: dynamic quantizer 2 As an application, dynamic quantizer is adopted. The outline of the dynamic quantizer, the analysis, and the design of the system are given.
Application of hybrid system-3: networking 3 As an application, the communication network is adopted. The internet network is also explained as an example of modeling and control.


Each professors prepare the prints of lectures.


No textbook.



Independent Study Outside of Class

Web Sites

Additional Information