컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0112 |
|---|---|
| 분류(Section) | Invited Lecture |
| 분과(Session) | (AM) Applied Mathematics(including AI, Data Science) (AM) |
| 발표시간(Time) | 19th-O-15:30 -- 16:10 |
| 영문제목 (Title(Eng.)) |
The generalized $H_2$ controller synthesis problem of sampled-data systems |
| 저자(Author(s)) |
Jung Hoon Kim1 POSTECH1 |
| 초록본문(Abstract) | In this talk, the generalized $H_2$ controller synthesis problem of sampled-data systems is concerned with, in which the induced norm from $L_2$ to $L_\infty$ is minimized. We first take an operator-based approach to sampled-data systems via the lifting treatment. We next develop a framework for piecewise constant approximation in the context of the generalized $H_2$ controller synthesis problem. An optimal controller for the approximate treatment is also shown to achieve the generalized $H_2$ performance for the sampled-data system that is close enough to its optimal generalized $H_2$ performance, if the corresponding parameter $N$ is large enough. This is established by deriving upper and lower bounds on the resulting sampled-data generalized $H_2$ performance, where their gap tends to $0$ at the rate of $1/N$. Finally, numerical examples are given to validate the overall arguments. |
| 분류기호 (MSC number(s)) |
34K35, 49J15, 49N05 |
| 키워드(Keyword(s)) | Operator approximation, generalized $H_2$ norm, hybrid continuous/discrete-time systems |
| 강연 형태 (Language of Session (Talk)) |
Korean |