State Estimation and Output Feedback Control of Nonholonomic Mobile Systems Using Time-Scale Transformation

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  • ISHIKAWA Masato
    Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology
  • SAMPEI Mitsuji
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology

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  • 時間軸変換に基づく非ホロノミック車両システムの状態推定と出力フィードバック制御
  • ジカンジク ヘンカン ニ モトヅク ヒホロノミック シャリョウ システム ノ ジョウタイ スイテイ ト シュツリョク フィードバック セイギョ

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Abstract

In this paper, we propose an optical measurement system for a nonholonomic wheeled robot, and develop a state estimation method and a measurement-output feedback controller. Since the kinematic model of such a wheeled mobile robot is expressed as a driftless nonlinear state equation, there arises a difficulty in observer design that the observability depends on control inputs. This matter is settled by transforming the time-scale of the state equation to a new one, which represents the trajectory of the mobile robot. Then we construct a nonlinear observer which achieves local exponential estimation-error convergence and allows us to specify its rate, where the design method is based on “the extended Luenberger observer (Zeitz)”. Finally, we apply a control strategy for a class of driftless systems based on “time-state control form (Sampei et al.)” to the position control problem by combining it with the observer to form an output feedback controller. Some results of numerical simulations are also presented.

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