Abstract

The non-linear dynamics of a linear mechanical oscillator coupled with an electromagnet and its driving circuit through a magnetic field are investigated. Input-Output Feedback Linearization is a used to transform the non-linear system into a linear system that is easier to control. The approach involves canceling out the non-linear terms in the system equations by introducing an appropriate input-output mapping. This mapping transforms the system into a set of linear equations, which can then be controlled using traditional linear control methods. A controller using a pole placement is implemented to stabilize the electromechanical oscillator and track a reference trajectory. This way we can demonstrate that the electro-magneto-mechanical transducer is suitable for sensor applications by enabling precise and rapid tracking of state variables. Moreover, the potential to drive multiple modules from a single source using modulation further highlights the applicability of this technology in various engineering applications, including robotics, aerospace, and power systems.

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