Descriptor and State Space Symbolic Model of Interconnected Linear Systems

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  • KOGA Masanobu
    Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology
  • ESUMI Takahiro
    Granduate School of Computer Science and Systems Engineering, Kyushu Institute of Technology
  • YANO Kentaro
    Fukuoka Insitute of Technology Junior College

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  • 結合線形システムのディスクリプタシステム表現および状態空間表現による数式モデルの導出
  • ケツゴウ センケイ システム ノ ディスクリプタ システム ヒョウゲン オヨビ ジョウタイ クウカン ヒョウゲン ニ ヨル スウシキ モデル ノ ドウシュツ

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Abstract

This paper proposes a method which gives symbolic model of the interconnected linear system using the adjacency matrix which represent the system. When there exist any algebraic loops in the system, they are reduced to the self loops by the edge contraction. If the weight matrix of the self loop is nonsingular, it is removed and the symbolic state space model is obtained, otherwise the symbolic descriptor model is obtained. We introduce a new interactive graphical software tool which have been developed for modeling and simulation of control systems using the proposed method.

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