Papers › Geometric Nonlinear PID Control of a Quadrotor UAV on SE(3)

Geometric Nonlinear PID Control of a Quadrotor UAV on SE(3)

24 Apr 2013arXiv:1304.6765links table onlyarchive 2025-07-28

Farhad Goodarzi, Daewon Lee, Taeyoung Lee

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Nonlinear PID control systems for a quadrotor UAV are proposed to follow an attitude tracking command and a position tracking command. The control systems are developed directly on the special Euclidean group to avoid singularities of minimal attitude representations or ambiguity of quaternions. A new form of integral control terms is proposed to guarantee almost global asymptotic stability when there exist uncertainties in the quadrotor dynamics. A rigorous mathematical proof is given. Numerical example illustrating a complex maneuver, and a preliminary experimental result are provided.

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