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.

翻译：无人机在众多领域的广泛应用对其控制方法提出了精细化要求，以确保最佳功能实现。本综述系统考察了无人机领域的两种关键控制范式——几何控制与反馈线性化。通过深入剖析这些方法的理论框架、实际应用、优势及挑战，本文力求提供全面概述。几何控制以微分几何原理为基础，为轨迹跟踪与任务执行提供了优雅直观的解决方案；而反馈线性化则运用非线性控制技术将无人机动力学线性化，从而提升可控制性。本文不仅解析理论基础，还审视实际应用案例、集成挑战，并展望几何控制与反馈线性化在无人机领域的未来研究方向。