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Nonlinear Robust Tracking Control of a Quadrotor UAV on SE(3)
Authors:Taeyoung Lee  Melvin Leok  N Harris McClamroch
Affiliation:1. Mechanical and Aerospace Engineering, The George Washington University, , Washington, DC, 20052 USA;2. Mathematics, University of California at San Diego, , La Jolla, CA, 92093 USA;3. Aerospace Engineering, University of Michigan, , Ann Arbor, MI, 48109 USA
Abstract:This paper provides nonlinear tracking control systems for a quadrotor unmanned aerial vehicle (UAV) that are robust to bounded uncertainties. A mathematical model of a quadrotor UAV is defined on the special Euclidean group, and nonlinear output‐tracking controllers are developed to follow (i) an attitude command, and (ii) a position command for the vehicle center of mass. The controlled system has the desirable properties that the tracking errors are uniformly ultimately bounded, and the size of the ultimate bound can be reduced arbitrarily by control system parameters. Numerical examples illustrating complex maneuvers are provided.
Keywords:Quadrotor UAV     geometric Control  special Euclidean group
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