English

Singular Zone in Quadrotor Yaw-Position Feedback Linearization

Systems and Control 2021-10-28 v2 Systems and Control

Abstract

It is well known that the conventional quadrotor is an under-actuated MIMO system. The number of the inputs is less than the degree of freedom. One approach in controlling this non-holonomic system is feedback linearization. In the frequently cited (305 times) application, the yaw and the position are selected as the controlled variables. It is reported that no singularity is found in their delta matrix, making it possible to apply the inversion within a wide range. However, we find the ignored singular zone within the range of interest. The unreported singular area can cause the failure in the controller design. This paper visualizes this uninvertible area and details the deduction process.

Keywords

Cite

@article{arxiv.2110.07179,
  title  = {Singular Zone in Quadrotor Yaw-Position Feedback Linearization},
  author = {Zhe Shen and Takeshi Tsuchiya},
  journal= {arXiv preprint arXiv:2110.07179},
  year   = {2021}
}

Comments

17 pages, 11 figures

R2 v1 2026-06-24T06:52:46.495Z