Finite length triple estimation algorithm and its application to gyroscope mems noise identification

• Autorzy: Macias Michał , Sierociuk Dominik

Identyfikatory

DOI

10.2478/ama-2023-0025

• Języki publikacji: EN

Abstrakty

EN

The noises associated with MEMS measurements can significantly impact their accuracy. The noises characterised by random walk and bias instability errors strictly depend on temperature effects that are difficult to specify during direct measurements. Therefore, the paper aims to estimate the fractional noise dynamics of the stationary MEMS gyroscope based on finite length triple estimation algorithm (FLTEA). The paper deals with the state, order and parameter estimation of fractional order noises originating from the MEMS gyroscope, being part of the popular Inertial Measurement Unit denoted as SparkFun MPU9250. The noise measurements from 𝑥,𝑦 and 𝑧 gyroscope axes are identified using a modified triple estimation algorithm (TEA) with finite approximation length. The TEA allows a simultaneous estimation of the state, order and parameter of fractional order systems. Moreover, as it is well-known that the number of samples in fractional difference approximations plays a key role, we try to show the influence of applying the TEA with various approximation length constraints on final estimation results. The validation of finite length TEA in the noise estimation process coming from MEMS gyroscope has been conducted for implementation length reduction achieving 50% of samples needed to estimate the noise with no implementation losses. Additionally, the capabilities of modified TEA in the analysis of fractional constant and variable order systems are confirmed in several numerical examples.

Słowa kluczowe

EN

fractional calculus; fractional Kalman filter; estimation of fractional order systems; fractional order noise

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2023
• Tom: Vol. 17, no. 2
• Strony: 219--229
• Opis fizyczny: Bibliogr. 40 poz., rys., tab., wykr.

Twórcy

autor

Macias Michał

• Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00–662 Warsaw, Poland

• https://orcid.org/0000-0001-7123-7708

autor

Sierociuk Dominik

• Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00–662 Warsaw, Poland

• https://orcid.org/0000-0002-3700-3665

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).