TY - JOUR U1 - Zeitschriftenartikel, wissenschaftlich - begutachtet (reviewed) A1 - Braun, Tristan A1 - Reuter, Johannes A1 - Rudolph, Joachim T1 - A singular perturbation approach to nonlinear observer design with an application to electromagnetic actuators JF - International Journal of Control N2 - A constructive method for the design of nonlinear observers is discussed. To formulate conditions for the construction of the observer gains, stability results for nonlinear singularly perturbed systems are utilised. The nonlinear observer is designed directly in the given coordinates, where the error dynamics between the plant and the observer becomes singularly perturbed by a high-gain part of the observer injection, and the information of the slow manifold is exploited to construct the observer gains of the reduced-order dynamics. This is in contrast to typical high-gain observer approaches, where the observer gains are chosen such that the nonlinearities are dominated by a linear system. It will be demonstrated that the considered approach is particularly suited for self-sensing electromechanical systems. Two variants of the proposed observer design are illustrated for a nonlinear electromagnetic actuator, where the mechanical quantities, i.e. the position and the velocity, are not measured KW - Nonlinear observers KW - Singular perturbations KW - Stability analysis KW - Electromagnetic actuators KW - Self-sensing Y1 - 2018 SN - 1366-5820 SS - 1366-5820 SN - 0020-7179 SS - 0020-7179 U6 - https://doi.org/10.1080/00207179.2018.1539873 DO - https://doi.org/10.1080/00207179.2018.1539873 IS - Published online: 29 Oct 2018 SP - 14 S1 - 14 ER -