CHUN-YEON LINZhong-Hsiang KuoYu-Han Tsai2024-10-012024-10-012024-07-15979835035536921596247https://www.scopus.com/record/display.uri?eid=2-s2.0-85203261149&origin=resultslisthttps://scholars.lib.ntu.edu.tw/handle/123456789/721682This paper presents the development of a five degree-of-freedom (DoF) cylindrical permanent magnet (PM) tracking system for estimating orientation and location. The system measures the effects of magnetic field changes caused by the PM through a tunnel magnetoresistance (TMR) sensor array Closed-form solutions for the magnetic flux densities are derived, and the Gaussian-Legendre quadrature method is applied to enhance computational efficiency. The Levenberg-Marquardt (LM) algorithm is employed to estimate location and orientation. These closed-form solutions were verified by finite element analysis software, and the LM methods were numerically validated. Experiments with a prototype confirm the analytical model's accuracy in handling translational and angular displacements and demonstrate the validity of two cylindrical PMs' location and orientation estimations.false[SDGs]SDG3conference paper10.1109/AIM55361.2024.106371002-s2.0-85203261149