Papers › ℒ₁ Adaptive Augmentation for Geometric Tracking Control of Quadrotors

ℒ₁ Adaptive Augmentation for Geometric Tracking Control of Quadrotors

14 Sep 2021arXiv:2109.06998archive 2025-07-28

Zhuohuan Wu, Sheng Cheng, Kasey A. Ackerman, Aditya Gahlawat, Arun Lakshmanan, Pan Zhao, Naira Hovakimyan

This paper introduces an ℒ₁ adaptive control augmentation for geometric tracking control of quadrotors. In the proposed design, the ℒ₁ augmentation handles nonlinear (time- and state-dependent) uncertainties in the quadrotor dynamics without assuming or enforcing parametric structures, while the baseline geometric controller achieves stabilization of the known nonlinear model of the system dynamics. The ℒ₁ augmentation applies to both the rotational and the translational dynamics. Experimental results demonstrate that the augmented geometric controller shows consistent and (on average five times) smaller trajectory tracking errors compared with the geometric controller alone when tested for different trajectories and under various types of uncertainties/disturbances.

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