Patent · US Expired

Method for real-time nonlinear system state estimation and control

US5991525A · kind A · utility

109Cited by
18References
34Claims
0Family size

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Inventors

Key dates

Filing dateAug 22, 1997
Grant dateNov 23, 1999
Priority date
Expiry dateAug 22, 2017

Classification

  • Technology area (CPC G)Physics
  • CPC primaryG05B13/04
  • WIPO fieldControl
  • WIPO sectorInstruments

Abstract

A method for the estimation of the state variables of nonlinear systems with exogenous inputs is based on improved extended Kalman filtering (EKF) type techniques. The method uses a discrete-time model, based on a set of nonlinear differential equations describing the system, that is linearized about the current operating point. The time update for the state estimates is performed using integration methods. Integration, which is accomplished through the use of matrix exponential techniques, avoids the inaccuracies of approximate numerical integration techniques. The updated state estimates and corresponding covariance estimates use a common time-varying system model for ensuring stability of both estimates. Other improvements include the use of QR factorization for both time and measurement updating of square-root covariance and Kalman gain matrices and the use of simulated annealing for ensuring that globally optimal estimates are produced.

Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.