Hans Christian Oersted

Abstract

The pervasive integration of Unmanned Aerial Vehicles (UAVs) across multifarious domains necessitates a nuanced understanding of control methodologies to ensure their optimal functionality. This exhaustive review meticulously examines two pivotal control paradigms in the UAV landscape-Geometric Control and Feedback Linearization. Delving into the intricate theoretical underpinnings, practical applications, strengths, and challenges of these methodologies, the paper endeavors to provide a comprehensive overview. Geometric Control, grounded in the principles of differential geometry, offers an elegant and intuitive approach to trajectory tracking and mission execution. In contrast, Feedback Linearization employs nonlinear control techniques to linearize UAV dynamics, paving the way for enhanced controllability. This review not only dissects the theoretical foundations but also scrutinizes real-world applications, integration challenges, and the ongoing research trajectory of Geometric Control and Feedback Linearization in the realm of UAVs.

A Unified Definition of Electrostatic and Magnetic Fields

“…Around a conducting wire with a static current, Oersted [7] discovered in 1820 that the orientation of a compass changes, but surprisingly without any contact between the magnet and the wire [8]. Oersted and fellow scientists among which Biot, Savart and Ampere have shown that the field around an infinite electrical wire [9] [10] (in 5.2.2), varies in I/r, which is the ratio of the current by the distance from the wire.…”