Achieving accurate measurements of Turbocharger rotation speed is a key task to achieve good propulsion control performance in Turbocharged combustion engines. However, direct access to Turbocharged rotating parts requires expensive sensors that present reliable long-term problems. This analysis includes numerical simulations with laboratory experiments, interactions between key parameters on the electromagnetic force based on the response surface methodology designed to optimize and improve the design of high-speed solenoid valve (HSV). The effect of change in core structure, coil structure, armature structure, air gap and actuator current on HSV electromagnetic force has been analyzed through a simulation model. Optimal matching values between coil and side pole radius, armature thickness and side pole radius; The armature radius and the lateral pole radius are also determined. The design core is shown with an adaptive discrete-time frequency (FLL) non-linear frequency lock loop filter, which is properly designed to extract the useful frequency content from the obtained audio signal. In addition, it shows a moderate computational load that can be implemented directly in commercial engine control units (ECUs) without the need for additional computing hardware. Reported experimental evaluations show that the estimation accuracy is excellent in all permissible rotational speed regimes.