Skip to main content
Top
Published in: Autonomous Robots 3/2015

01-03-2015

On hybrid modeling and control of a multi-propeller multifunction aerial robot with flying-walking locomotion

Authors: Yushu Yu, Xilun Ding

Published in: Autonomous Robots | Issue 3/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Flying-walking locomotion is widely adopted by birds. It increases the agility and activities of birds, but has not been reported in the robotics research area. This paper is trying to address the problem of flying-walking locomotion with a multi-propeller multifunction aerial robot (MMAR). The dynamics of hybrid flying-walking locomotion is rather complex since it needs to consider the modeling of aerial robots contacting with the environment. By dividing the flying-walking locomotion into several motion modes, hybrid modeling framework is employed to model the dynamics of the overall flying-walking locomotion maneuver. Contact dynamics between the robot and the ground in the overall maneuver is derived from the constrained Lagrangian. Furthermore, the models of different modes are analyzed for the control purposes. Based on the dynamic model, an optimal planning algorithm is proposed to minimize the interaction between the legs and main-body of MMAR during the motion. Several composite controllers are designed to stabilize the motion of the main-body and the motion of the legs in different modes. Such controllers are designed using trajectory linearization control approach and computed-torque method. Simulation tests are presented to show the feasibility of proposed flying-walking locomotion.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Cabecinhas, D., Naldi, R., Marconi, L., Silvestre, C., & Cunha, R. (2010). Robust take-off and landing for a quadrotor vehicle. In Proceedings of the IEEE international conference on robotics and automation (pp. 1630–1635). Anchorage, Alaska, USA. Cabecinhas, D., Naldi, R., Marconi, L., Silvestre, C., & Cunha, R. (2010). Robust take-off and landing for a quadrotor vehicle. In Proceedings of the IEEE international conference on robotics and automation (pp. 1630–1635). Anchorage, Alaska, USA.
go back to reference Cabecinhas, D., Naldi, R., Marconi, L., Silvestre, C., & Cunha, R. (2012). Robust take-off for a quadrotor vehicle. IEEE Transactions on Robotics, 28(3), 734–742.CrossRef Cabecinhas, D., Naldi, R., Marconi, L., Silvestre, C., & Cunha, R. (2012). Robust take-off for a quadrotor vehicle. IEEE Transactions on Robotics, 28(3), 734–742.CrossRef
go back to reference Cowling, I. D., Yakimenko, O. A., Whidborne, J. F., & Cooke, A. K. (2010). Direct method based control system for an autonomous quadrotor. Journal of Intelligent Robotic Systems, 60(2), 285–316.CrossRefMATH Cowling, I. D., Yakimenko, O. A., Whidborne, J. F., & Cooke, A. K. (2010). Direct method based control system for an autonomous quadrotor. Journal of Intelligent Robotic Systems, 60(2), 285–316.CrossRefMATH
go back to reference Ding, X., & Yu, Y. (2012). Dynamic analysis, optimal planning and composite control for aerial arm-operating with a multi-propeller multifunction aerial robot. In Proceedings of the IEEE international conference on mechatronics and automation (pp. 420–427). Chengdu, China. Ding, X., & Yu, Y. (2012). Dynamic analysis, optimal planning and composite control for aerial arm-operating with a multi-propeller multifunction aerial robot. In Proceedings of the IEEE international conference on mechatronics and automation (pp. 420–427). Chengdu, China.
go back to reference Ding, X., & Yu, Y. (2013). Motion planning and stabilization control of a multi-propeller multifunction aerial robot. IEEE/ASME Transactions on Mechatronics, 18(2), 645–656.CrossRefMathSciNet Ding, X., & Yu, Y. (2013). Motion planning and stabilization control of a multi-propeller multifunction aerial robot. IEEE/ASME Transactions on Mechatronics, 18(2), 645–656.CrossRefMathSciNet
go back to reference Ding, X., Yu, Y., & Zhu, J. J. (2011). Trajectory linearization tracking control for dynamics of a multi-propeller and multifunction aerial robot—MMAR. In Proceedings of the IEEE international conference on robotics and automation (pp. 757–762). Shanghai, China. Ding, X., Yu, Y., & Zhu, J. J. (2011). Trajectory linearization tracking control for dynamics of a multi-propeller and multifunction aerial robot—MMAR. In Proceedings of the IEEE international conference on robotics and automation (pp. 757–762). Shanghai, China.
go back to reference Ghadiok, V. (2011). Autonomous aerial manipulations using a quadrotor. Master’s thesis, Utah State University, Logan, Utah. Ghadiok, V. (2011). Autonomous aerial manipulations using a quadrotor. Master’s thesis, Utah State University, Logan, Utah.
go back to reference Ghadiok, V., Goldin, J., & Ren, W. (2011). Autonomous indoor aerial gripping using a quadrotor. In Proceedings of the IEEE/RSJ international conference on intelligent robots and systems (pp. 4645–4651). San Francisco, CA. Ghadiok, V., Goldin, J., & Ren, W. (2011). Autonomous indoor aerial gripping using a quadrotor. In Proceedings of the IEEE/RSJ international conference on intelligent robots and systems (pp. 4645–4651). San Francisco, CA.
go back to reference Gillula, J. H., Huang, H., Vitus, M. P., & Tomlin, C. J. (2010). Design of guaranteed safe maneuvers using reachable sets: Autonomous quadrotor aerobatics in theory and practice. In Proceedings of the IEEE international conference on robotics and automation (pp. 1649–1654). Anchorage, Alaska, USA. Gillula, J. H., Huang, H., Vitus, M. P., & Tomlin, C. J. (2010). Design of guaranteed safe maneuvers using reachable sets: Autonomous quadrotor aerobatics in theory and practice. In Proceedings of the IEEE international conference on robotics and automation (pp. 1649–1654). Anchorage, Alaska, USA.
go back to reference Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009). Hybrid dynamical systems. IEEE Control Systems Magazine, 29(2), 28–93.CrossRefMathSciNet Goebel, R., Sanfelice, R. G., & Teel, A. R. (2009). Hybrid dynamical systems. IEEE Control Systems Magazine, 29(2), 28–93.CrossRefMathSciNet
go back to reference Goldstein, H. (1980). Classical mechanics. Addison-Wesley. Goldstein, H. (1980). Classical mechanics. Addison-Wesley.
go back to reference Hehn, M., & D’Andrea, R. (2011). A flying inverted pendulum. In Proceedings of the IEEE international conference on robotics and automation (pp. 763–770). Shanghai, China. Hehn, M., & D’Andrea, R. (2011). A flying inverted pendulum. In Proceedings of the IEEE international conference on robotics and automation (pp. 763–770). Shanghai, China.
go back to reference Hugel, V., Hackert, R., & Abourachid, A. (2011). Kinematic modeling of bird locomotion from experimental data. IEEE Transactions on Robotics, 27(2), 185–200.CrossRef Hugel, V., Hackert, R., & Abourachid, A. (2011). Kinematic modeling of bird locomotion from experimental data. IEEE Transactions on Robotics, 27(2), 185–200.CrossRef
go back to reference Hurmuzlu, Y. (1993). Dynamics of biped gait: Part I—Objective functions and contact event of a planar five-link biped. Journal of Applied Mechanics, 60(2), 331–336.CrossRef Hurmuzlu, Y. (1993). Dynamics of biped gait: Part I—Objective functions and contact event of a planar five-link biped. Journal of Applied Mechanics, 60(2), 331–336.CrossRef
go back to reference Jimenez-Cano, A. J., Martin, G. H., Ollero, A., & Cano, R. (2013). Control of an aerial robot with multi-link arm for assembly tasks. In Proceedings of the IEEE international conference on robotics and automation (pp. 4916–4921). Karlsruhe, Germany. Jimenez-Cano, A. J., Martin, G. H., Ollero, A., & Cano, R. (2013). Control of an aerial robot with multi-link arm for assembly tasks. In Proceedings of the IEEE international conference on robotics and automation (pp. 4916–4921). Karlsruhe, Germany.
go back to reference Kim, J., Chung, W. K., & Yuh, J. (2003). Dynamic analysis and two-time scale control for underwater vehicle-manipulator systems. In Proceedings of the IEEE/RSJ international conference on intelligent robots and systems (pp. 577–582). Las Vegas, Nevada. Kim, J., Chung, W. K., & Yuh, J. (2003). Dynamic analysis and two-time scale control for underwater vehicle-manipulator systems. In Proceedings of the IEEE/RSJ international conference on intelligent robots and systems (pp. 577–582). Las Vegas, Nevada.
go back to reference Kobilarov, M. (2013). Trajectory control of a class of articulated aerial robots. In Proceedings of the international conference on unmanned aircraft systems (pp. 958–965). Grand Hyatt Atlanta, Atlanta, GA. Kobilarov, M. (2013). Trajectory control of a class of articulated aerial robots. In Proceedings of the international conference on unmanned aircraft systems (pp. 958–965). Grand Hyatt Atlanta, Atlanta, GA.
go back to reference Liljeback, P., Pettersen, K. Y., Stavdahl, O. & Gravdahl, J. T. (2010). Hybrid modelling and control of obstacle-aided snake robot locomotion. IEEE Transactions on Robotics, 26(5), 781–799. Liljeback, P., Pettersen, K. Y., Stavdahl, O. & Gravdahl, J. T. (2010). Hybrid modelling and control of obstacle-aided snake robot locomotion. IEEE Transactions on Robotics, 26(5), 781–799.
go back to reference Liu, Y., & Zhu, J. J. (2007a). Regular perturbation analysis for trajectory linearization control. In: Proceedings of the American control conference (pp. 3053–3058). New York, USA. Liu, Y., & Zhu, J. J. (2007a). Regular perturbation analysis for trajectory linearization control. In: Proceedings of the American control conference (pp. 3053–3058). New York, USA.
go back to reference Liu, Y., & Zhu, J. J. (2007b). Singular perturbation analysis for trajectory linearization control. In Proceedings of the American control conference (pp. 3047–3052). New York, USA. Liu, Y., & Zhu, J. J. (2007b). Singular perturbation analysis for trajectory linearization control. In Proceedings of the American control conference (pp. 3047–3052). New York, USA.
go back to reference Lupashin, S., Schollig, A., Sherback, M., & D’Andrea, R.(2010). A simple learning strategy for high-speed quadrocopter multi-flips. In Proceedings of the IEEE international conference on robotics and automation (pp. 1642–1648). Anchorage, Alaska, USA. Lupashin, S., Schollig, A., Sherback, M., & D’Andrea, R.(2010). A simple learning strategy for high-speed quadrocopter multi-flips. In Proceedings of the IEEE international conference on robotics and automation (pp. 1642–1648). Anchorage, Alaska, USA.
go back to reference Marconi, L., Naldi, R., Gentili, L. (2009). A control framework for robust practical tracking of hybrid automata. In Proceedings of the IEEE conference on decision and control (pp. 661–666). Shanghai, China. Marconi, L., Naldi, R., Gentili, L. (2009). A control framework for robust practical tracking of hybrid automata. In Proceedings of the IEEE conference on decision and control (pp. 661–666). Shanghai, China.
go back to reference Marconi, L., Naldi, R., & Gentili, L. (2011). Modelling and control of a flying robot interacting with the environment. Automatica, 47(12), 2571–2583.CrossRefMATHMathSciNet Marconi, L., Naldi, R., & Gentili, L. (2011). Modelling and control of a flying robot interacting with the environment. Automatica, 47(12), 2571–2583.CrossRefMATHMathSciNet
go back to reference Mellinger, D., Lindsey, Q., Shomin, M., & Kumar, V. (2011). Design, modeling, estimation and control for aerial grasping and manipulation. In Proceedings of the IEEE/international conference on intelligent robots and systems (pp. 2668–2673). San Francisco, CA, USA. Mellinger, D., Lindsey, Q., Shomin, M., & Kumar, V. (2011). Design, modeling, estimation and control for aerial grasping and manipulation. In Proceedings of the IEEE/international conference on intelligent robots and systems (pp. 2668–2673). San Francisco, CA, USA.
go back to reference Mellinger, D., Michael, N., Shomin, M., & Kumar, V. (2011). Recent advances in quadrotor capabilities. In Proceedings of the IEEE international conference on robotics and automation (pp. 2964–2965). Shanghai, China. Mellinger, D., Michael, N., Shomin, M., & Kumar, V. (2011). Recent advances in quadrotor capabilities. In Proceedings of the IEEE international conference on robotics and automation (pp. 2964–2965). Shanghai, China.
go back to reference Mellinger, D., Shomin, M., Michael, N., & Kumar, V.(2010). Cooperative grasping and transport using multiple quadrotors. In International symposium on distributed autonomous systems, Lausanne, Switzerland Mellinger, D., Shomin, M., Michael, N., & Kumar, V.(2010). Cooperative grasping and transport using multiple quadrotors. In International symposium on distributed autonomous systems, Lausanne, Switzerland
go back to reference Michael, N., Fink, J., & Kumar, V. (2011). Cooperative manipulation and transportation with aerial robots. Autonomous Robots, 30(1), 73–86.CrossRef Michael, N., Fink, J., & Kumar, V. (2011). Cooperative manipulation and transportation with aerial robots. Autonomous Robots, 30(1), 73–86.CrossRef
go back to reference Micklet, M. C., Huang, R., & Zhu, J. J. (2004). Unstable, nonminimum phase, nonlinear tracking by trajectory linearization control. In Proceedings of the IEEE conference on control applications (pp. 812–818). Taipei, Taiwan. Micklet, M. C., Huang, R., & Zhu, J. J. (2004). Unstable, nonminimum phase, nonlinear tracking by trajectory linearization control. In Proceedings of the IEEE conference on control applications (pp. 812–818). Taipei, Taiwan.
go back to reference Mu, X., & Wu, Q. (2003). A complete dynamic model of five-link bipedal walking. In: Proceedings of the American control conference (pp. 4–6). Denver, Colorado. Mu, X., & Wu, Q. (2003). A complete dynamic model of five-link bipedal walking. In: Proceedings of the American control conference (pp. 4–6). Denver, Colorado.
go back to reference Muller, M., Lupashin, S., & D’Andrea, R. (2011). Quadrocopter ball juggling. In Proceedings of the IEEE/RSJ international conference on intellegent robotic systems (pp. 25–30). San Francisco, CA, USA. Muller, M., Lupashin, S., & D’Andrea, R. (2011). Quadrocopter ball juggling. In Proceedings of the IEEE/RSJ international conference on intellegent robotic systems (pp. 25–30). San Francisco, CA, USA.
go back to reference Orsag, M., Korpela, C., Pekala, M., & Oh, P. (2013). Stability control in aerial manipulation. In: Proceedings of the American control conference (pp. 5581–5586). Washington, DC, USA. Orsag, M., Korpela, C., Pekala, M., & Oh, P. (2013). Stability control in aerial manipulation. In: Proceedings of the American control conference (pp. 5581–5586). Washington, DC, USA.
go back to reference Schollig, A., Augugliaro, F., Lupashin, S., & D’Andrea, R.(2010). Synchronizing the motion of a quadrocopter to music. In Proceedings of the IEEE international conference on robotics and automation (pp. 3355–3360). Anchorage, Alaska, USA. Schollig, A., Augugliaro, F., Lupashin, S., & D’Andrea, R.(2010). Synchronizing the motion of a quadrocopter to music. In Proceedings of the IEEE international conference on robotics and automation (pp. 3355–3360). Anchorage, Alaska, USA.
go back to reference Slotine, J. J. E., & Li, W.(1991). Applied nonlinear control. Prentice Hall. Slotine, J. J. E., & Li, W.(1991). Applied nonlinear control. Prentice Hall.
go back to reference Tzafestas, S., Raibert, M., & Tzafestas, C. (1996). Robust sliding-mode control applied to a 5-link biped robot. Journal of Intelligent Robotic Systems, 15, 67–133.CrossRef Tzafestas, S., Raibert, M., & Tzafestas, C. (1996). Robust sliding-mode control applied to a 5-link biped robot. Journal of Intelligent Robotic Systems, 15, 67–133.CrossRef
Metadata
Title
On hybrid modeling and control of a multi-propeller multifunction aerial robot with flying-walking locomotion
Authors
Yushu Yu
Xilun Ding
Publication date
01-03-2015
Publisher
Springer US
Published in
Autonomous Robots / Issue 3/2015
Print ISSN: 0929-5593
Electronic ISSN: 1573-7527
DOI
https://doi.org/10.1007/s10514-014-9405-0

Other articles of this Issue 3/2015

Autonomous Robots 3/2015 Go to the issue