不確定要素を含む特異摂動システムのロバスト安定化

Robust stabilization of singularly perturbed systems with uncertainties

Mukaidani Hiroaki

Mizukami Koichi

電気学会論文誌. D, 産業応用部門誌 : The transactions of the Institute of Electrical Engineers of Japan. D, A publication of Industry Applications Society

This paper considers the robust stabilization of singularly perturbed systems with time-varying unknowbut-bounded uncertainties. The H∞ control method are used to establish the stability of the closed-loop system. The construction of the stabilizing controller involves solving a certain algebraic Riccati equation with small parameter ε > 0. In order to overcome the computation difficulties caused by small parameter ε, we propose the ε-less quadratically stabilizing controller by using the results of the solution for above a algebraic Riccati equation. It is shown that if the reduced order Riccati equations have a positive definite stabilizing solution then the given uncertain linear system with the proposed controller independ of ε is quadraticaly stabilizable. To show the effectiveness of the proposed algorithm, numerical examples are included.

特異摂動システム

2次安定化

H∞制御理論

ゲーム型リカッチ方程式

有界案補題

Electrical engineering [ 540 ]

jpn

電気学会

Copyright (c) 1999 電気学会

[ISSN] 0913-6339

[NCID] AN10012320

[URI] http://www.iee.or.jp/