State Space Theory of Dynamical Systems
| Numbering Code | G-ENG10 5C628 LB72 | Year/Term | 2022 ・ First semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese and English | Day/Period | Wed.3 | |
| Instructor name |
HAGIWARA TOMOMICHI (Graduate School of Engineering Professor) HOSOE YOUHEI (Graduate School of Engineering Senior Lecturer) |
|||
| Outline and Purpose of the Course | The course deals with the dynamical system theory based on linear time-invariant state equations. It covers such topics as state equations, controllability and observability, mode decomposition and its relevance to controllability/observability, stability of dynamical systems, and the Kalman canonical decomposition. | |||
| Course Goals | To acquire the knowledge on the basic theory for linear system analysis by means of state equations. To have sufficient understanding required for further studies on control system design with state equations. | |||
| Schedule and Contents |
Feedback systems and state equations (3-4 weeks) Fundamentals of state equations, their relationship to transfer functions and block diagram representations. Responses of linear systems (5-6 weeks) State transition matrices, equivalence transformation of systems, mode decomposition, and Lyapunov stability. Controllability and observability (5-6 weeks) Controllability and observability, mode decomposition and its relevance to controllability/observability, controllable subspace and unobservable subspace, and the Kalman canonical decomposition. Checking degrees of understanding of all the lecture topics closes the class. |
|||
| Evaluation Methods and Policy | The grading will be based on the exam. | |||
| Course Requirements | Classical control theory (in terms of transfer functions), linear algebra and calculus. | |||
| Study outside of Class (preparation and review) | Review using lecture notes and the handouts is presupposed on a regular basis. | |||
| Textbooks | Textbooks/References | Handouts will be given at the class. | ||
| Related URL | ||||
