TY - CHAP U1 - Konferenzveröffentlichung A1 - Braun, Tristan A1 - Straußberger, Florian A1 - Reuter, Johannes A1 - Preissler, Gabi T1 - A semilinear distributed parameter approach for solenoid valve control including saturation effects T2 - American Control Conference (ACC), 2015, 1-3 July 2015, Chicago, IL, USA N2 - In this paper a semilinear parabolic PDE for the control of solenoid valves is presented. The distributed parameter model of the cylinder becomes nonlinear by the inclusion of saturation effects due to the material's B/H-curve. A flatness based solution of the semilinear PDE is shown as well as a convergence proof of its series solution. By numerical simulation results the adaptability of the approach is demonstrated, and differences between the linear and the nonlinear case are discussed. The major contribution of this paper is the inclusion of saturation effects into the magnetic field governing linear diffusion equation, and the development of a flatness based solution for the resulting semilinear PDE as an extension of previous works [1] and [2]. KW - valves KW - convergence KW - inclusions KW - parabolic equations KW - partial differential equations Y1 - 2015 SN - 978-1-4799-8684-2 SB - 978-1-4799-8684-2 U6 - https://doi.org/10.1109/ACC.2015.7171126 DO - https://doi.org/10.1109/ACC.2015.7171126 N1 - Volltextzugriff für Hochschulangehörige via Datenbank IEEE Xplore SP - 2600 EP - 2605 ER -