State-Space Model and Kalman Filter Gain Identification by a Kalman Filter of a Kalman Filter

Author:

Phan Minh Q.1,Vicario Francesco2,Longman Richard W.3,Betti Raimondo4

Affiliation:

1. Thayer School of Engineering, Dartmouth College, Hanover, NH 03755 e-mail:

2. Department of Acute Care Solutions, Philips Research, Cambridge, MA 02141 e-mail:

3. Department of Mechanical Engineering, Columbia University, New York, NY 10027 e-mail:

4. Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY 10027 e-mail:

Abstract

This paper describes an algorithm that identifies a state-space model and an associated steady-state Kalman filter gain from noise-corrupted input–output data. The model structure involves two Kalman filters where a second Kalman filter accounts for the error in the estimated residual of the first Kalman filter. Both Kalman filter gains and the system state-space model are identified simultaneously. Knowledge of the noise covariances is not required.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference24 articles.

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2. Linear System Identification Via an Asymptotically Stable Observer;J. Optim. Theory Appl.,1993

3. Identification of Observer/Kalman Filter Markov Parameters: Theory and Experiments;J. Guid. Control Dyn.,1993

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