The "theory" component of the text provides a rigorous mathematical foundation for the dynamics and control of small unmanned aircraft systems (sUAS).

The report on focuses on the seminal textbook by Randal W. Beard and Timothy W. McLain, published by Princeton University Press . This work is recognized as the first comprehensive textbook to bridge the gap between engineering theory and practical autonomous flight for small-scale fixed-wing UAVs. Core Theoretical Framework

: Simplifies complex nonlinear equations into linear models suitable for classical and modern control design.

: Employs a hierarchical control architecture, moving from low-level stabilization (roll, pitch) to higher-level guidance (airspeed, altitude, course). Practical Implementation & Simulation

: Covers rigid-body dynamics, including the translation and rotation influenced by forces such as lift, thrust, and drag.

: Establishes standard frames (Inertial, Vehicle, Body, Stability) to describe aircraft motion.