Material Detail

This technical educational monograph provides a rigorous analytical foundation for multirotor unmanned aerial system (UAS) dynamics and flight control law synthesis, designed for upper-division undergraduate engineering and advanced STEM curricula under the Washington Accord (Attributes WA1–WA5). Beginning with kinematic frame transformations between the Earth-fixed North-East-Down (NED) frame and the body-fixed principal axis frame, the text develops the complete nonlinear 6-DOF Newton-Euler equations of motion, highlighting the underactuated nature of multirotor platforms.

Key pedagogical and design topics include: (1) free-body decomposition and kinematic coordinate transformations via Euler angles and directional cosine matrices; (2) hierarchical cascaded control architectures utilizing time-scale separation across position (10–20 Hz), translational velocity (20–50 Hz), attitude angle (100–250 Hz), and angular rate (500–1000 Hz) loops; (3) exact mathematical derivation and inversion of the motor mixing matrix for 'X' frame configurations to allocate collective thrust and triaxial moments to individual rotor speeds; (4) transient response analysis and wind gust disturbance rejection; and (5) practical flight tuning methodologies, including gyroscopic vibration filtering and derivative noise mitigation. The monograph is reinforced with end-to-end worked numerical calculations, comparative systems engineering trade-off matrices, and industrial case studies (Skydio autonomous vision-based MPC, DJI Matrice crosswind redundancy, and NASA Mars Ingenuity helicopter dynamics).

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