A prototype of an autonomous controller for a quadrotor UAV

2007 European Control Conference, ECC 2007

Volumn , Issue , 2007, Pages 4001-4008

  Cowling, Ian D ^a   Yakimenko, Oleg A ^b   Whidborne, James F ^a   Cooke, Alastair K ^a  

^a CRANFIELD UNIVERSITY   (United Kingdom)

^b Department of Mechanical and Astronautical Engineering of Naval Postgraduate School ^*  (United States)

Author keywords

Differential flatness; Direct method; LQR controller; Path following; Quadrotor; Trajectory planning

Indexed keywords

COMPUTER CONTROL SYSTEMS; CONSTRAINED OPTIMIZATION; CONTROLLERS; FIXED WINGS; REAL TIME CONTROL; TRAJECTORIES; UNMANNED AERIAL VEHICLES (UAV);

DIFFERENTIAL FLATNESS; DIRECT METHOD; LQR CONTROLLER; PATH FOLLOWING; QUAD ROTORS; TRAJECTORY PLANNING;

AIRCRAFT CONTROL;

EID: 84927731939     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068316     Document Type: Conference Paper

References (47)

1. A. Richards and J. P. How, "Aircraft trajectory planning with collision avoidance using Mixed Integer Linear Programming," in Proc. Amer. Contr. Conf., Anchorage, AK, May 8-10, 2002.
2. C. R. Hargraves and S. W. Paris, "Direct Trajectory Optimization Using Nonlinear Programming and Collocation," Journal of Guidance, Control, and Dynamics, vol. 10, no. 4, 1987, pp. 338-342.
3. S. H. Lane and R. F. Stengel, "Flight Control Design Using Nonlinear Inverse Dynamics," Automatica, vol. 24, no. 4, 1988, pp. 471-483.
4. O. Von Stryk and R. Bulirsch, "Direct and Indirect Methods for Trajectory Optimization," Annals of Operations Research, vol. 37, 1992, pp. 357-373.
5. E. Sentoh and A. E. Bryson, "Inverse and Optimal Control for Desired Outputs," Journal of Guidance, Control, and Dynamics, vol. 15, no. 3, 1992, pp. 687-691.
6. P. J. Enright and B. A. Convay, "Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming," Journal of Guidance, Control, and Dynamics, vol. 15, no. 5, 1992, pp. 994-1002.
7. P. Lu, "Inverse Dynamics Approach to Trajectory Optimization for an Aerospace Plane," Journal of Guidance, Control, and Dynamics, vol. 16, no. 4, 1993, pp. 726-732.
8. H. Seywald, "Trajectory Optimization Based on Differential Inclusions," Journal of Guidance, Control, and Dynamics, vol. 17, no. 3, 1994, pp. 480-487.
9. J. Elnagar, M. A. Kazemi and M. Razzaghi, "The Pseudospectral Legendre Method for Discretizing Optimal Control Problems," IEEE Transactions on Automatic Control, vol. 40, no. 10, 1995, pp. 1793-1796.
10. R. Kumar and H. Seywald, "Should Controls Be Eliminated While Solving Optimal Control Problems via Direct Methods" Journal of Guidance, Control, and Dynamics, vol. 19, no. 2, 1996, pp. 418-423.
11. R. Kumar and H. Seywald, "Dense-Sparse Discretization for Optimization and Real-Time Guidance," Journal of Guidance, Control, and Dynamics, vol. 19, no. 2, 1996, pp. 501-503.
12. A. L. Herman and B. A. Convay, "Direct Optimization Using Collocation Based on High-Order Gauss-Lobatto Quadrature Rules," Journal of Guidance, Control, and Dynamics, vol. 19, no. 3, 1996, pp. 592-599.
13. D. G. Hull, "Conversion of Optimal Control Problems into Parameter Optimization Problems," Journal of Guidance, Control, and Dynamics, vol. 20, no. 1, 1997, pp. 57-60.
14. J. T. Betts, "Survey of Numerical Methods for Trajectory Optimization," Journal of Guidance, Control, and Dynamics, vol. 21, no. 2, 1998, pp. 193-207.
15. B. A. Convay and K. M. Larson, "Collocation Versus Differential Inclusion in Direct Optimization," Journal of Guidance, Control, and Dynamics, vol. 21, no. 5, 1998, pp. 780-785.
16. F. Fahroo and I. M. Ross, "Computational Optimal Control by Spectral Collocation with Differential Inclusion," in Proc. of the 1999 Flight Mechanics Symposium, NASA-Goddard Space Flight Center, Greenbelt, MD, May 18-20, 1999, pp. 185-200.
17. F. Fahroo and I. M. Ross, "A Second Look at Approximating Differential Inclusions," Journal of Guidance, Control, and Dynamics, vol. 24, no. 1, 2001, pp. 131-133.
18. F. Fahroo and I. M. Ross, "Direct Trajectory Optimization by a Chebyshev Pseudospectral Method," Journal of Guidance, Control, and Dynamics, vol. 25, no. 1, 2002, pp. 160-166.
19. F. Fahroo and I. M. Ross, "Pseudospectral Knotting Methods for Solving Nonsmooth Optimal Control Problems," Journal of Guidance, Control, and Dynamics, vol. 27, no. 3, 2004, pp. 397-405.
20. V. T. Taranenko, Experience on Application of Ritz's, Poincare's, and Lyapunov's Methods in Solving of Flight Dynamics Problems. Air Force Engineering Academy Press, Moscow, 1968 (in Russian).
21. V. T. Taranenko and V. G. Momdzhi, Direct Variational Method in Boundary Problems of Flight Dynamics. Mashinostroenie Press, Moscow, 1968 (in Russian).
22. A. I. Neljubov, Mathematical Methods of Calculation of Combat, Takeoff/Climb, and Landing Approach Manoeuvres for the Aircraft with 2-D Thrust Vectoring. Flight Characteristics and Combat Maneuvering of Manned Vehicles. Air Force Engineering Academy Press, Moscow, 1968 (in Russian).
23. O. Yakimenko, "Direct Method for Rapid Prototyping of Near-Optimal Aircraft Trajectories," Journal of Guidance, Control, and Dynamics, vol. 23, no. 5, 2000, pp. 865-875.
24. D. V. Alekhin and O. A. Yakimenko, "Synthesis of Optimization Algorithm for Planned-Route Flight Trajectory by Direct Variational Method," Journal of Computer and Systems Sciences International, vol. 38, no. 4, 1999, pp. 650-666.
25. V. N. Dobrokhodov and O. A. Yakimenko, "Synthesis of Trajectorial Control Algorithms at the Stage of Rendezvous of an Airplane with a Maneuvering Object," Journal of Computer and Systems Sciences International, vol. 38, no. 2, 1999, pp. 262-277.
26. R. Bevilacqua, O. Yakimenko and M. Romano, "On-Line Generation of Quasi-Optimal Docking Trajectories," in Proc. of the 7th International Conference On Dynamics and Control of Systems and Structures in Space (DCSSS), Greenwich, London, England, July 16-20, 2006.
27. B. Eikenberry, O. Yakimenko and M. Romano, "A Vision Based Navigation among Multiple Flocking Robots: Modeling and Simulation," in Proc. of AIAA Modeling and Simulation Technologies Conference, Keystone, CO, August 21-24, 2006.
28. O. Yakimenko, "Direct Method for Real-Time Prototyping of Optimal Control," in Proc. of the International Conference Control 2006, Glasgow, Scotland, August 30-September 11, 2006.
29. M. Fleiss, J. Levine, Ph. Martin and P. Rouchon, "Sur les systèmes non linéarités différentiellement plats," in C. R. Acad. Sci., Paris, vol. 315, série I, 1992, pp. 619-624.
30. P. Martin, S. Devasia and B. Paden, "A different look at output tracking: control of a VTOL aircraft," in Proc. 33rd IEEE Conf. Decision Contr., Lake Buena Vista, FL, December 14-16, 1994.
31. T. J. Koo and S. Sastry, "Differential Flatness Based Full Authority Helicopter Design," in Proc. 38th IEEE Conf. Decision Contr., Phoenix, AZ, December 7-10, 1999.
32. B. J. Driessen, and A. L. Robin, "A Globally Convergent Tracking Controller for the X4 Flyer Rotor Craft for Reference Trajectories with Positive Thrust," Robotica, part 4, 2004, pp. 375-388.
33. A. Bouabdallah, A. Noth and R. Siegwart, "PID versus LQ control techniques applied to an indoor micro quadrotor," in Proc. IEEE Conf. on Intel. Robot. Systems, Sendai, Japan, September 28-October 2, 2004.
34. W. A. Kamal, D.-W. Gu and I. Postlethwaite, "MILP and its application in flight path planning," in Proc. 16th IFAC World Congress, Prague, Czech Republic, July 3-8, 2005.
35. I. Kaminer, O. Yakimenko and A. Pascoal, "On Path Generation, Trajectory Tracking and Coordinated Control for Time-Critical Missions of Multiple UAVs," in Proc. of IEEE American Control Conference, Minneapolis, MN, June 14-16, 2006.
36. I. D. Cowling, J. F. Whidborne and A. K. Cooke, "MBPC for Autonomous Operation of a Quadrotor Air Vehicle," in Proc 21st International UAV Systems Conf., Bristol, UK, April 3-5, 2006.
37. A. K. Cooke, Helicopter test and evaluation. Blackwell and QinetiQ, Oxford, England, 2002.
38. M. V. Cook, Flight Dynamics Principles. Butterworth Heinemann, Oxford, England, 1997.
39. P. Castillo, A. Dzul and R. Lozano, "Real-time stabilization and tracking of a four-rotor mini rotorcraft," IEEE Transactions on Control Systems Technology, vol. 12, no. 4, 2004, pp. 510-516.
40. E. Altug, J. P. Ostrowski and R. Mahony, "Control of a quadrotor helicopter using visual feedback," in Proc. of IEEE International Conference on Robotics and Automation (ICRA2002), Washington, DC, May 11-15, 2002.
41. I. D. Cowling, J. F. Whidborne and A. K. Cooke, "Optimal trajectory planning and LQR control for a quadrotor UAV," in Proc. of the International Conference Control 2006, Glasgow, Scotland, August 30-September 11, 2006.
42. A. Chelouah, "Extensions of differential flat fields and Liouvillian systems," in Proc. 36th IEEE Conf. Decision Contr., San Diego, CA, December 10-12, 1997.
43. M. J. Nieuwstadt and R. M. Murray, "Approximate trajectory generation for differentially flat systems with zero dynamics," in Proc. 34th IEEE Conf. Decision Contr., New Orleans, LA, December 13-15, 1995.
44. J. Vlassenbroeck, and R. Van Dooren, "A Chebyshev Technique for Solving Nonlinear Optimal Control Problems," IEEE Trans. Autom. Control, vol. 33, no. 4, 1988, pp. 333-340.
45. M. Huzmezan, G. A. Dumont, W. A. Gough and S. Kovac, "Multivariable Laguerre-based indirect adaptive predictive control a reliable practical solution for process control," in IASTED Modeling and Control Conf., Innsbruck, Austria, February 18-21, 2001.
46. R. J. Schilling, S. L. Harris, Applied Numerical Methods for Engineers Using MATLAB and C. Brooks/Cole Publishing Company, Pacific Grove, CA, 2000, pp. 336-337.
47. J. T. Tou, Modern Control Theory, McGraw-Hill, New York, NY, 1964.