2017
DOI: 10.1007/s10846-017-0519-4
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Dual Quaternion Modeling and Control of a Quad-rotor Aerial Manipulator

Abstract: In this paper a model-free continuous nonlinear control law for the attitude of a quadrotor, based on the Attractive Ellipsoid Method and a saturation term, is proposed. This control law allows the vehicle to track aggressive maneuvers, such as multiple flips about the y axis of the body frame, with high angular velocities. The controller is designed through a singularity-free attitude representation based on a unit quaternion and its gains are computed by solving an optimization problem with LMIs. The propose… Show more

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Cited by 40 publications
(22 citation statements)
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“…While v is the angular velocity. The external torque can be defined by the sum of the mobile link torque and the cable link torque as, = + (29) While the torque because of the cable link is given as = [̅̅̅ ⊗ ⊗ ] + (30) Whereas mc is the cable mass, is the transformation constant inspired from [27], g is the gravitational constant, and Ic is the inertial cable matrix.…”
Section: External Mounted Arm On Uavmentioning
confidence: 99%
“…While v is the angular velocity. The external torque can be defined by the sum of the mobile link torque and the cable link torque as, = + (29) While the torque because of the cable link is given as = [̅̅̅ ⊗ ⊗ ] + (30) Whereas mc is the cable mass, is the transformation constant inspired from [27], g is the gravitational constant, and Ic is the inertial cable matrix.…”
Section: External Mounted Arm On Uavmentioning
confidence: 99%
“…Otherwise, singularity-free unit quaternion representation of the vehicle attitude can always be adopted, see [97], [98]. A mathematical extension of the unit quaternion representation, namely dual-quaternion representation, has been recently formulated to address kinematic and dynamic modeling of a MUAV [99]. An important advantage of dual-quaternion modeling of a MUAV is that it results in relatively simple transformations for consecutive rotations and translations of reference frames.…”
Section: End Effectormentioning
confidence: 99%
“…(a) Free body diagram of quadrotor aerial vehicle equipped with gripper 24 and (b) actual UAV model.…”
Section: System Modelmentioning
confidence: 99%