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Observability in metrology measurements

  • US 7,502,715 B1
  • Filed: 09/21/2005
  • Issued: 03/10/2009
  • Est. Priority Date: 09/21/2004
  • Status: Expired due to Fees
First Claim
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1. A method of evaluating the observability of a system, comprising:

  • determining an output measurement scheme;

    determining a mapping between a state of the system and a measured output of the system;

    determining an observability matrix using a plurality of mappings between states of the system and measured outputs of the system;

    performing singular value decomposition on the observability matrix to determine a right singular vector of the observability matrix;

    determining a norm of the right singular vector;

    quantifying an ability of the output measurement scheme to provide information about a state of the system by using the norm; and

    conveying the ability of the output measurement scheme as an observability measurement.

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