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Feedback linearization control for a tandem rotor UAV robot equipped with two 2-DOF tiltable coaxial-rotors

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Abstract

In this paper, computed torque control as one method of feedback linearization techniques is considered for an unmanned aerial vehicle (UAV) robot that has two tiltable coaxial rotors so as to realize multifunctional locomotion modes, where each rotor has 2-DOF tilt mechanism. First, a dynamical model of such an UAV robot is derived following the Newton–Euler law. Next, under the assumptions that the anti-torque of the tiltable coaxial rotors is zero and the gyro moment effect of the tiltable coaxial rotors can be ignored, a computed torque controller is derived, because the resultant model of the UAV robot can be simplified to a fully actuated model, which has six motion inputs and six generalized coordinate outputs. In addition, a control allocation problem of the system, in which the control inputs designed using the dynamical model are assigned to all motors for tilting the rotor as well as rotating it, is solvable by using a Moore–Penrose pseudo-inverse, where a coordinate transformation is used to simply the allocation problem. Finally, some simulations are demonstrated to verify the effectiveness of the computed torque control strategy for the robot.

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References

  1. Takai M (2006) Expectations and prospects of robotics-in-the air (in Japanese). Japan UAV Assoc 24(8):906–907

    Google Scholar 

  2. Bouabdallah S, Becker M, Siegwart R (2007) Autonomous miniature flying robots: coming soon!. IEEE Robot Autom Mag 13(3):88–98

    Article  Google Scholar 

  3. Rihani YA, Gasco PS, Shin HS, Savvaris A, Salama F (2013) Modelling and simulation of a novel dual axes tilt quadrotor UAV. In: Proc. of AIAA modeling and simulation technologies (MST) conference, Boston, pp 1–21

  4. Ryll M, Bulthoff HH, Giordano PR (2012) Modeling and control of a quadrotor UAV with tilting propeller. In: Proc. of IEEE int. conf. on robotics and automation, St Paul, pp 4606–4613

  5. Ryll M, Bulthoff HH, Giordano PR (2015) A novel overactuated quadrotor unmanned UAV vehicle: modeling control and experimental validation. IEEE Trans Control Syst Technol 23(2):540–556

    Article  Google Scholar 

  6. Kamel M, Verling S, Elkhatib O, Sprecher C, Wulkop P, Taylor Z, Siegwart R, Gilitschenski I (2018) The Voliro omni orientational hexacopter: an agile and maneuverable tilted-rotor UAV vehicle. IEEE Robot Autom Mag 25(4):34–44

    Article  Google Scholar 

  7. Ozaki K, Tsukada H, Yamada M (2016) Automatic control of two-wheeled quadrotor helicopter moving on wall (in Japanese). In: Proc. of the 17th SICE system integration division annual conference (SI2016), Sapporo, Japan, pp 1535–1540

  8. Ackerman E (2015) Disney vertiGo combines car, helicopter to drive up walls. https://spectrum.ieee.org/automaton/robotics/drones/disney-vertigo-combines-car-helicopter-to-drive-up-walls

  9. Xu X, Watanabe K, Nagai I (2018) Development of an UAV robot that has multifunctional locomotion modes with tilted coaxial rotors. In: Proc. of 2018 37th Chinese control conference (CCC), Wuhan, pp 7896–7900

  10. Rajappa S, Ryll M, Bulthoff HH, Franchi A (2015) Modeling control and design optimization for a fully-actuated hexarotor UAV vehicle with tilted propellers. In: Proc. of IEEE int. conf. on robotics and automation, Seattle, pp 4006–4013

  11. Al-Ali I, Zweiri Y, Moosa NA, Taha T, Dias J, Senevirtane L (2020) State of the art in tilt-quadrotors, modelling, control and fault recovery. Proc Inst Mech Eng Part C J Mech Eng Sci 234(2):474–486

    Article  Google Scholar 

  12. Oosedo A, Abiko S, Narasaki S, Kuno A, Uchiyama M (2016) Large attitude change flight of a quad tilt rotor unmanned UAV vehicle. Adv Robot 30(5):326–337

    Article  Google Scholar 

  13. Morbidi F, Bicego D, Ryll M, Franchi A (2018) Energy-efficient trajectory generation for a hexarotor with dual- tilting propellers. In: Proc. of 2018 IEEE/RSJ int. conf. on intelligent robots and systems (IROS), Madrid, pp 6226–6232

  14. Kamel M, Verling S, Elkhatib O, Sprecher C, Wulkop P, Taylor Z, Siegwart R, Gilitschenski I (2018) Voliro: an omnidirectional hexacopter with tilted rotors. arXiv:1801.04581

  15. Li B, Wang D, Ma L (2019) BioTetra: a bioinspired multi-rotor UAV vehicle. In: Proc. of IEEE int. conf. on robotics and biomimetics (ROBIO), Dali, pp 114–119

  16. Military Specification (1997) Flying qualities of piloted airplanes. Tech. Rep. U.S. Ailitary Specification, MIL-F-8785C

  17. Waslander SL, Wang C (2009) Wind disturbance estimation and rejection for quadrotor position control. In: AIAA Infotech@Aerospace conference, pp 6–7

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Xu, X., Watanabe, K. & Nagai, I. Feedback linearization control for a tandem rotor UAV robot equipped with two 2-DOF tiltable coaxial-rotors. Artif Life Robotics 26, 259–268 (2021). https://doi.org/10.1007/s10015-020-00655-x

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  • DOI: https://doi.org/10.1007/s10015-020-00655-x

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