Backstepping approach for controlling a quadrotor using lagrange form dynamics

Journal of Intelligent and Robotic Systems: Theory and Applications

Volumn 56, Issue 1-2, 2009, Pages 127-151

  Das, Abhijit ^a   Lewis, Frank ^a   Subbarao, Kamesh ^b  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^b University of Texas at Arlington   (United States)

Author keywords

Adaptive control; Back stepping; Kinematic inversion; Lyapunov candidate; Neural network; Quadrotor

Indexed keywords

ADAPTIVE CONTROL; AERODYNAMIC FORCES; AERODYNAMIC MOMENT; BACKSTEPPING APPROACH; CONTROL APPROACH; CONTROL DESIGN; CONTROLLER DESIGNS; HELICOPTER DYNAMICS; INVERSE KINEMATICS SOLUTIONS; KINEMATIC INVERSION; LAGRANGE; LAGRANGIAN; LYAPUNOV CANDIDATE; NEURAL NET; NON-LINEARITY; PRIOR KNOWLEDGE; QUADROTOR; QUADROTORS; SIMULATION STUDIES; STATE DEPENDENT DISTURBANCE; STATE SPACE FORM; STRONG COUPLING; UAV CONTROL; UNDER-ACTUATION;

ADAPTIVE CONTROL SYSTEMS; AERODYNAMICS; BACKSTEPPING; DESIGN; DYNAMICS; HELICOPTERS; INVERSE KINEMATICS; LAGRANGE MULTIPLIERS; NEURAL NETWORKS;

CONTROLLERS;

EID: 68749088352     PISSN: 09210296     EISSN: 15730409     Source Type: Journal    
DOI: 10.1007/s10846-009-9331-0     Document Type: Article

References (36)

1. Koo, T.J., Sastry, S.: Output tracking control design of a helicopter model based on approximate linearization. In: Proceedings of the 37th Conference on Decision and Control. Tampa, Florida (1998)
2. Stevens, B.L., Lewis, F.L.: Aircraft Control and Simulation. Wiley, New York (2003)
3. Castillo, P., Lozano, R., Dzul, A.: Modelling and Control of Mini Flying Machines. Springer, Berlin (2005)
4. Bouabdallah, S., Noth, A., Siegwart, R.: PID vs LQ control techniques applied to an weight augmentation high energy consumption indoor micro quadrotor. In: Proceedings of 2004 1EEElRS.J Internationel Conference on Intelligent Robots and Systems. Sendal, Japan (2004)
5. Madani, T., Benallegue, A.: Backstepping control for a quadrotor helicopter. In: Proceedings of the 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems. Beijing, China (2006)
6. A Mokhtari A Benallegue Y Orlov 2006 Exact linearization and sliding mode observer for a quadrotor unmanned aerial vehicle Int. J. Robot. Autom. 21 39 49 10.2316/Journal.206.2006.1.206-2842 (Pubitemid 43351344)
7. A Mokhtari A Benallegue B Daachi 2006 Robust feedback linearization and GH∞ controller for a quadrotor unmanned aerial vehicle J. Electr. Eng. 57 20 27
8. Kim, H.J., Shim, D.H., Sastry, S.: Nonlinear model predictive tracking control for rotorcraft-based unmanned aerial vehicles. In: Proceedings of the American Control Conference. Anchorage, AK (2002)
9. I Kanellakopoulos PV Kokotovic AS Morse 1991 Systematic design of adaptive controllers for feedback linearizable systems IEEE Trans. Automat. Contr. 36 1241 1253 10.1109/9.100933
10. P Castillo A Dzul R Lozano 2004 Real-time stabilization and tracking of a four-rotor mini rotorcraft IEEE Trans. Contr. Syst. Technol. 12 510 516 10.1109/TCST.2004.825052
11. P Castillo R Lozano A Dzul 2005 Stabilization of a mini rotorcraft having four rotors IEEE Contr. Syst. Mag. 25 45 55 10.1109/MCS.2005.1550152 (Pubitemid 43109427)
12. Bouabdallah, S., Noth, A., Siegwart, R.: PID vs LQ control techniques applied to an indoor micro quadrotor. In: International Conference on Intelligent Robots and Systems, pp. 2451-2456 (2004)
13. R Mahony T Hamel 2005 Robust trajectory tracking for a scale model autonomous helicopter Int. J. Robust Nonlinear Contr. 14 1035 1059 10.1002/rnc.931
14. Yang, C.D., Liu, W.H.: Nonlinear Hoo Decoupling hover control of helicopter with parameter uncertainties. In: Proceedings of the American Control Conference. Denver, Colorado (2003)
15. Enns, R., Si, J.: Helicopter flight control design using a learning control Approach1. In: Proceedings of the 39th Conference on Decision and Control. Sydney, Australia (2000)
16. Calise, A.J., Kim, B.S., Leitner, J., Prasad, J.V.R.: Helicopter adaptive flight control using neural networks. In: Proceedings of the 33rd Conference on Decision and Control. Lake Buena Vista, FL (1994)
17. E Johnson S Kannan 2005 Adaptive trajectory control for autonomous helicopters AIAA J. Guid. Control Dyn. 28 524 538 10.2514/1.6271
18. J Farrell M Sharma M Polycarpou 2005 Backstepping-based flight control with adaptive function approximation AIAA J. Guid. Contr. Dyn. 28 1089 1102
19. Hamel, T., Mahony, R., Lozano, R., Ostrowski, J.: Dynamic modeling and configuration stabilization for an X4-flyer. In: IFAC 15th Triennial World Congress. Barcelona, Spain (2002)
20. Mistler, V., Benallegue, A., M'Sirdi, N.K.: Exact linearization and non-interacting control of a 4 rotors helicopter via dynamic feedback. In: 10th IEEE Int. Workshop on Robot-Human Interactive Communication. Paris (2001)
21. Bijnens, B., Chu, Q.P., Voorsluijs, G.M., Mulder, J.A.: Adaptive feedback linearization flight control for a helicopter UAV. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. San Francisco, California (2005)
22. Altug, E., Ostrowski, J.P., Mahony, R.: Control of a quadrotor helicopter using visual feedback. In: IEEE International Conference on Robotics and Automation. Washington, DC (2002)
23. Cheng, M., Huzmezan, M.: A combined MBPC/2 DOF hinf controller for quad rotor unmanned air vehicle. In: AIAA Atmospheric Flight Mechanics Conference and Exhibit. Austin, Texas, USA (2003)
24. Cowling, I.D., Yakimenko, O.A., Whidborne, J.F., Cooke, A.K.: A prototype of an autonomous controller for a quadrotor UAV. In: Proceedings of the European Control Conference. Kos, Greece (2007)
25. Guo, W., Horn, J.: Modeling and simulation for the development of a quad-rotor UAV capable of indoor flight. In: Modeling and Simulation Technologies Conference and Exhibit. Keystone, Colorado (2006)
26. Mahony, R., Hamel, T., Dzul, A.: Hover control via lyapunov control for an autonomous model helicopter. In: Proceedings of the 38th Conference on Decision & Control. Phoenix, Arizona (1999)
27. Lewis, F.L., Dawson, D.M., Abdallah, C.T.: Robot Manipulator Control: Theory and Practices. Marcel Dekker, New York (2004)
28. Lewis, F., Jagannathan, S., Yesildirek, A.: Neural Network Control of Robot Manipulators and Nonlinear Systems. Taylor and Francis, London (1999)
29. Kim, Y.H., Lewis, F.L.: High Level Feedback Control With Neural Networks. World Scientific. River Edge, NJ (1998)
30. Olfati-Saber, R.: Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles. In: Doctor of Philosophy, Dept. of Electrical Engineering and Computer Science, p. 307. MIT (2001)
31. K Hornik M Stinchombe H White 1989 Multilayer feedforward networks are universal approximations Neural Netw 20 359 366 10.1016/0893-6080(89)90020-8 (Pubitemid 20609008)
32. FL Lewis A Yesildirek K Liu 1996 Multilayer neural-net robot controller with guaranteed tracking performance IEEE Trans. Neural Netw. 7 388 399 10.1109/72.485674
33. Fantoni, I., Zavala, A., Lozano, R.: Global stabilization of a PVTOL aircraft with bounded thrust. In: Proceedings of the 41st Conference on Decision and Control. Las Vegas, Nevada USA (2002)
34. Lewis, F.L., Abdallah, C.T., Dawson, D.M.: Control of Robot Manipulators. Macmillan, New York (1993)
35. T Flash N Hogan 1985 The coordination of arm movements: an experimentally confirmed mathematical model J. Neurosci. 5 1688 1703
36. N Hogan 1984 Adaptive control of mechanical impedance by coactivation of antagonist muscles IEEE Trans. Automat. Contr. 29 681 690 10.1109/TAC.1984. 1103644