抄録
We generalize the standard H∞ control problem to the finite horizon case with two (possibly singular) terminal penalties at the initial and final times. The major objective of the generalization is to increase flexibility of IF controls. Transients in the finite horizon and the terminal penalties are taken into account within the framework of H∞ control problems. We give a complete solution, a necessary and sufficient condition, and a parameterization to the finite horizon H∞ control problem. The solution is a natural extension of the “Riccati equation” solution. In the special case, when all the terminal penalties vanish, the solution is reduced to the existing one and to the finite horizon standard H∞ control problem. Our approach to the problem is based on completing the square argument of a particular quadratic form, which is at least technically different from the previous ones.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 1762-1767 |
| ページ数 | 6 |
| ジャーナル | IEEE Transactions on Automatic Control |
| 巻 | 37 |
| 発行部数 | 11 |
| DOI | |
| 出版物ステータス | Published - 1992 |
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ASJC Scopus subject areas
- Computer Science Applications
- Control and Systems Engineering
- Electrical and Electronic Engineering
これを引用
Finite Horizon H∞ Control Problems with Terminal Penalties. / Uchida, Kenko; Fujita, Masayuki.
：: IEEE Transactions on Automatic Control, 巻 37, 番号 11, 1992, p. 1762-1767.研究成果: Article
}
TY - JOUR
T1 - Finite Horizon H∞ Control Problems with Terminal Penalties
AU - Uchida, Kenko
AU - Fujita, Masayuki
PY - 1992
Y1 - 1992
N2 - We generalize the standard H∞ control problem to the finite horizon case with two (possibly singular) terminal penalties at the initial and final times. The major objective of the generalization is to increase flexibility of IF controls. Transients in the finite horizon and the terminal penalties are taken into account within the framework of H∞ control problems. We give a complete solution, a necessary and sufficient condition, and a parameterization to the finite horizon H∞ control problem. The solution is a natural extension of the “Riccati equation” solution. In the special case, when all the terminal penalties vanish, the solution is reduced to the existing one and to the finite horizon standard H∞ control problem. Our approach to the problem is based on completing the square argument of a particular quadratic form, which is at least technically different from the previous ones.
AB - We generalize the standard H∞ control problem to the finite horizon case with two (possibly singular) terminal penalties at the initial and final times. The major objective of the generalization is to increase flexibility of IF controls. Transients in the finite horizon and the terminal penalties are taken into account within the framework of H∞ control problems. We give a complete solution, a necessary and sufficient condition, and a parameterization to the finite horizon H∞ control problem. The solution is a natural extension of the “Riccati equation” solution. In the special case, when all the terminal penalties vanish, the solution is reduced to the existing one and to the finite horizon standard H∞ control problem. Our approach to the problem is based on completing the square argument of a particular quadratic form, which is at least technically different from the previous ones.
UR - http://www.scopus.com/inward/record.url?scp=0000641986&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000641986&partnerID=8YFLogxK
U2 - 10.1109/9.173146
DO - 10.1109/9.173146
M3 - Article
AN - SCOPUS:0000641986
VL - 37
SP - 1762
EP - 1767
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 11
ER -