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Stabilization of Multidimensional Systems Using Local State Estimators

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Abstract

A design method for stabilizing a multidimensional system isproposed. The deign method is developed from the viewpoint ofLyapunov stability and it is based on two Riccati like matrixinequalities those ensure the stabilizability and the detectabilityof a multidimensional system in a strong sense. The arrangementscheme of the stabilizer is set up as a combination of plantand local state estimator, which imitates the well-known compensatordesign for 1-D systems incorporated with full order state observer.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, 466-8555, Japan

    Tatsushi Ooba

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  1. Tatsushi Ooba
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Ooba, T. Stabilization of Multidimensional Systems Using Local State Estimators. Multidimensional Systems and Signal Processing 12, 49–61 (2001). https://doi.org/10.1023/A:1008416810948

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