Modeling and Analysis of Nonholonomic Dynamic Systems with Affine Constraints

  • Kai Tatsuya
    Faculty of Information Science and Electrical Engineering, Kyushu University
  • Hara Shinji
    Graduate School of Information Science and Technology, The University of Tokyo

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  • アファイン拘束を受ける非ホロノミック動力学システムのモデリングと解析
  • アファイン コウソク オ ウケル ヒホロノミック ドウリキガク システム ノ モデリング ト カイセキ

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Abstract

This paper is concerned with modeling and theoretical analysis on nonlinear dynamic systems subject to nonholonomic affine constraints. First, we give some definitions and concepts on the affine constraints. Next, nonholonomic dynamic systems with affine constraints (NDSAC) are derived, and their normal forms and linear approximated systems are also shown. We then analyze the NDSAC from the viewpoint of nonlinear control theory, and especially focus on accessibility, controllability and stabilizability. Finally, some physical examples are illustrated to verify our results. <br>

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