付加的制御ゲインを伴う不確定マルチチャネルマルコフジャンプ確率システムのための安定化

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2012/06/01

タイトル(英語): Stabilization for Uncertain Multi-channel Markov Jump Stochastic Systems with Additive Gain Perturbations

著者名: 相良　宗臣（熊本県立大学　総合管理学部），向谷　博明（広島大学　大学院工学研究院）

著者名(英語): Muneomi Sagara (Faculty of Administration, Prefectural University of Kumamoto), Hiroaki Mukaidani (Graduate School of Engineering, Hiroshima University)

キーワード: マルコフジャンプシステム，マルチチャネルシステム，付加的制御ゲイン，ファジィ制御　　Markov jump systems，multi-channel systems，additive gain perturbations，fuzzy control

要約(英語): In this paper, stabilization problem for a class of multi-channel Markov jump stochastic systems with additive gain perturbations is addressed. In order to design the state feedback stabilization controller, a novel control strategy that guarantees the adequate cost bound is established. A sufficient condition for the existence of the controller is derived in term of matrix inequality. In the sequel, for practical plants since it is not always easy to access the transition modes, the mode-independent strategy set is considered. As a result, it is shown that such strategy set can be obtained by solving the linear matrix inequality (LMI). Furthermore, in order to reduce the cost performance, fuzzy control for each input is combined with the static gain as additive gain perturbations. As a result, even if dramatic random parameter changes occur in the system, it is shown that the robust stability and the reduction of the cost can be attained. Finally, a simple numerical example is given to demonstrate the availability of the proposed method.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.132 No.6 （2012） 特集：データ指向型モデリング/予測/制御

本誌掲載ページ: 886-896 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/132/6/132_886/_article/-char/ja/