Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems

Levent Özbek

doi:10.54559/amesia.1899823

Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems

Abstract

This paper proposes an Input-Weighted Newton Fading Extended Kalman Filter (IW-NF-EKF) for real-time output estimation in control systems subject to modeling uncertainty and excitation-dependent disturbances. Unlike conventional adaptive fading Kalman filters that rely exclusively on innovation statistics, the proposed method explicitly incorporates normalized input magnitude into a chi-square-based innovation-consistency condition. The resulting nonlinear fading equation is solved online via Newton iterations, yielding an excitation-aware covariance inflation mechanism. The method is experimentally validated using real measurement data obtained from a computer-aided temperature control system. Comparative results against a fixed Kalman filter and a Newton fading EKF without input weighting demonstrate that the proposed approach achieves lower estimation error and improved goodness-of-fit while preserving stable residual behavior. The results indicate that input-aware fading provides a practically effective and statistically coherent extension of innovation-driven adaptive filtering.

Keywords

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Details

Primary Language

English

Subjects

Control Theoryand Applications

Journal Section

Research Article

Authors

Levent Özbek ^*
0000-0003-1018-3114
Türkiye

Publication Date

June 30, 2026

Submission Date

February 28, 2026

Acceptance Date

June 4, 2026

Published in Issue

Year 2026 Volume: 7 Number: 1

DOI

https://doi.org/10.54559/amesia.1899823

IZ

https://izlik.org/JA82MX62BK

Cite

RIS / Bibtex

APA

Özbek, L. (2026). Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems. Amesia, 7(1), 25-37. https://doi.org/10.54559/amesia.1899823

AMA

1.Özbek L. Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems. Amesia. 2026;7(1):25-37. doi:10.54559/amesia.1899823

Chicago

Özbek, Levent. 2026. “Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems”. Amesia 7 (1): 25-37. https://doi.org/10.54559/amesia.1899823.

EndNote

Özbek L (June 1, 2026) Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems. Amesia 7 1 25–37.

IEEE

[1]L. Özbek, “Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems”, Amesia, vol. 7, no. 1, pp. 25–37, June 2026, doi: 10.54559/amesia.1899823.

ISNAD

Özbek, Levent. “Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems”. Amesia 7/1 (June 1, 2026): 25-37. https://doi.org/10.54559/amesia.1899823.

JAMA

1.Özbek L. Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems. Amesia. 2026;7:25–37.

MLA

Özbek, Levent. “Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems”. Amesia, vol. 7, no. 1, June 2026, pp. 25-37, doi:10.54559/amesia.1899823.

Vancouver

1.Levent Özbek. Input-Weighted Newton Fading Extended Kalman Filter for Experimental Output Estimation in Control Systems. Amesia. 2026 Jun. 1;7(1):25-37. doi:10.54559/amesia.1899823

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