摂動項を含むH∞タイプリカッチ方程式のための再帰的アルゴリズム
電気学会論文誌. C, 電子・情報・システム部門誌 : The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society Volume 117 Issue 10
Page 1464-1471
published_at 1997-09-20
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| File | |
| Title ( jpn ) |
摂動項を含むH∞タイプリカッチ方程式のための再帰的アルゴリズム
|
| Title ( eng ) |
The recursive algorithm for H_∞ type Riccati equation with small parameter
|
| Creator |
Mizukami Koichi
|
| Source Title |
電気学会論文誌. C, 電子・情報・システム部門誌 : The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society
|
| Volume | 117 |
| Issue | 10 |
| Start Page | 1464 |
| End Page | 1471 |
| Abstract |
This paper considers new recursive algorithm to find the positive semidefinite stabilizing solution of H∞ type Riccati equation with small parameter where the solution P depend on the ε. In order to obtain the stabilizing solution of the H∞ type Riccati equation, we must solve the generalized algebraic Riccati equation. Using the recursive algorithm, we show that the solution of the generalized algebraic Riccati equation converges to a positive semidefinite stabilizing solution with the rate of convergence of O(εk).
We also show that for singularly perturbed systems, if the H∞ norm of the transfer matrix function is less than the H∞ norms for the fast system and for the reduced slow system, then the H∞ type Riccati equation has a positive semidefinite stabilizing solution. |
| Keywords |
特異摂動システム
有界実補題
H∞タイプリカッチ方程式
再帰的アルゴリズム
|
| NDC |
Electrical engineering [ 540 ]
|
| Language |
jpn
|
| Resource Type | journal article |
| Publisher |
電気学会
|
| Date of Issued | 1997-09-20 |
| Rights |
Copyright (c) 1997 電気学会
|
| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0385-4221
[NCID] AN10065950
[URI] http://www.iee.or.jp/
|
