Title

Combined Estimation of the Parameters and States for a Multivariable State-Space System in Presence of Colored Noise

Publication Date

3-10-2020

Document Type

Article

Abstract

This article addresses the combined estimation issues of parameters and states for multivariable systems in the state-space form disturbed by colored noises. By utilizing the Kalman filtering principle and the coupling identification concept, we derive a Kalman filtering based partially coupled recursive generalized extended least squares (KF-PC-RGELS) algorithm to jointly estimate the parameters and the states. Using the past and the current data in parameter estimation, we propose a Kalman filtering based multi-innovation partially coupled recursive generalized extended least-squares algorithm to enhance the parameter estimation accuracy of the KF-PC-RGELS algorithm. Finally, a simulation example is provided to test and compare the performance of the proposed algorithms.

Publication Title

International Journal of Adaptive Control and Signal Processing

DOI

10.1002/acs.3101

Publisher Policy

Pre-print, post-print (12 month embargo)

Open Access Status

Licensed

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