PhD Thesis Abstract: Navigation has been integral to exploration and global travel throughout history. Inertial sensing technology has evolved to sophisticated methods, such as MEMS-based sensors, used in our every-day lives, and highly sensitive cold atom-based sensors. This doctoral thesis addresses challenges in levitated particle-based inertial sensors, focusing on the precision calibration of the particle displacement, non-linear characterization, and miniaturization of the experimental setup. The objective is to develop a proof-of-concept, on-chip sensor bridging the gap between existing technologies. The thesis covers the theory of particle trapping and presents new methods for precise displacement calibration and characterization of the ubiquitous Duffing oscillator. The outcome is a hybrid on-chip platform that integrates optical and electrical levitation techniques, offering versatility for various applications beyond inertial and force sensing. This work contributes to advancing sensing technology in the levitated sensing community, making levitodynamics more accessible for scientific and industrial applications.