Stabilization of Multidimensional Systems Using Local StateEstimators

  • Authors:
  • Tatsushi Ooba

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

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2001

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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.