Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals

Imaduddin, Fitrian; Arifin, Zaenal; Ubaidillah,; Mahmoud, Essam Rabea Ibrahim; Aljabri, Abdulrahman

doi:10.3390/mi16020144

Open AccessArticle

Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals

by

Fitrian Imaduddin

^1,2,*

,

Zaenal Arifin

²,

Ubaidillah

²

,

Essam Rabea Ibrahim Mahmoud

¹

and

Abdulrahman Aljabri

¹

Mechanical Engineering Department, Faculty of Engineering, Islamic University of Madinah, Medina 42351, Saudi Arabia

²

Mechanical Engineering Program, Faculty of Engineering, Universitas Sebelas Maret, Surakarta 57126, Indonesia

^*

Author to whom correspondence should be addressed.

Micromachines 2025, 16(2), 144; https://doi.org/10.3390/mi16020144

Submission received: 5 December 2024 / Revised: 17 January 2025 / Accepted: 23 January 2025 / Published: 26 January 2025

(This article belongs to the Special Issue Magnetorheological Materials and Application Systems)

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Abstract

The dynamic relationship between current and pressure in magnetorheological (MR) valves is essential for the design of adaptive rehabilitation devices aimed at health rehabilitation for disabled individuals, yet it remains under-explored in existing modeling approaches. Accurately capturing this relationship is vital to predict the pressure drop response to current variations, facilitating the development of effective control systems in such rehabilitation applications. This study employs a linear black-box modeling approach to characterize the current–pressure dynamics of an annular MR valve. Experimental data are used to develop a set of transfer function models, with parameters identified through MATLAB’s system identification tools, utilizing invariant variable regression and the Levenberg–Marquardt (LM) iteration. The modeling yielded a 14th-order transfer function, labeled TF14, which closely aligns with experimental data, achieving a root mean square error of 12.64%. These findings contribute valuable insights into the current–pressure dynamics of MR valves and establish a foundational model for adaptive rehabilitation devices designed for individuals with disabilities.

Keywords: magnetorheological; MR valve; dynamic modeling; current–pressure relationship; black-box modeling; transfer function; adaptive rehabilitation device; health rehabilitation

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MDPI and ACS Style

Imaduddin, F.; Arifin, Z.; Ubaidillah; Mahmoud, E.R.I.; Aljabri, A. Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals. Micromachines 2025, 16, 144. https://doi.org/10.3390/mi16020144

AMA Style

Imaduddin F, Arifin Z, Ubaidillah, Mahmoud ERI, Aljabri A. Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals. Micromachines. 2025; 16(2):144. https://doi.org/10.3390/mi16020144

Chicago/Turabian Style

Imaduddin, Fitrian, Zaenal Arifin, Ubaidillah, Essam Rabea Ibrahim Mahmoud, and Abdulrahman Aljabri. 2025. "Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals" Micromachines 16, no. 2: 144. https://doi.org/10.3390/mi16020144

APA Style

Imaduddin, F., Arifin, Z., Ubaidillah, Mahmoud, E. R. I., & Aljabri, A. (2025). Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals. Micromachines, 16(2), 144. https://doi.org/10.3390/mi16020144

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Current–Pressure Dynamics Modeling on an Annular Magnetorheological Valve for an Adaptive Rehabilitation Device for Disabled Individuals

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