Stabilisation and altitude tracking of a four-rotor microhelicopter using the lifting operators
Stabilisation and altitude tracking of a four-rotor microhelicopter using the lifting operators
- Author(s): J. Toledo ; L. Acosta ; M. Sigut ; J. Felipe
- DOI: 10.1049/iet-cta.2008.0028
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- Author(s): J. Toledo 1 ; L. Acosta 1 ; M. Sigut 1 ; J. Felipe 1
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View affiliations
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Affiliations:
1: Department of Systems Engineering and Automatics, University of La Laguna, La Laguna, Spain
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Affiliations:
1: Department of Systems Engineering and Automatics, University of La Laguna, La Laguna, Spain
- Source:
Volume 3, Issue 4,
April 2009,
p.
452 – 464
DOI: 10.1049/iet-cta.2008.0028 , Print ISSN 1751-8644, Online ISSN 1751-8652
The lifting methodology can be used for simplifying the closed-loop stability study of a system in which the measurement data are acquired at different frequencies. This is because the lifting operators allow treating this kind of systems as if there is only one control frequency, which reduces the complexity of the problem in a very important way. The four-rotor microhelicopter designed by the authors, whose control is faced, is a nonlinear plant with sensors operating at two different frequencies. First, the system is linearised cancelling the rotors dynamics. Then, the authors implement a model reference adaptive control structure for identifying the gains of the linear reference plant and performing the adaptive control of the microhelicopter. At this point, the system stability study is carried out by just computing the eigenvalues of the closed-loop states matrix thanks to the lifting operators.
Inspec keywords: eigenvalues and eigenfunctions; stability; mathematical operators; ultrasonic devices; closed loop systems; nonlinear control systems; aircraft control; vehicle dynamics; linear systems; sensors; model reference adaptive control systems; tracking; helicopters; matrix algebra
Other keywords:
Subjects: Nonlinear control systems; Aerospace control; Stability in control theory; Algebra; Transducers and sensing devices; Algebra; Control technology and theory (production); Vehicle mechanics; Self-adjusting control systems
References
-
-
1)
- Rong, X., Ozguner, U.: `Sliding mode control of a quadrotor helicopter', Proc. 45th IEEE Conf. on Decision and Control, 2006, San Diego, CA, USA, p. 4957–4962.
-
2)
- T. Chen , B.A. Francis . Input-output stability of sampled-data systems. IEEE Trans. Autom. Control , 1 , 50 - 58
-
3)
- Altug, E., Ostrowski, J.P., Taylor, C.J.: `Quadrotor control using dual camera visual feedback', Proc. IEEE Int. Conf. on Robotics and Automation, 2003, Taipei, Taiwan, p. 4294–4299.
-
4)
- Efe, M.O.: `Robust low altitude behavior control of a quadrotor rotorcraft through sliding modes', Proc. Mediterranean Conf. on Control & Automation, 2007, Athens, Greece, p. 1–6.
-
5)
- Tangirala, A.K., Shah, S.L., Chen, T.: `Conditions for removing intersample ripples in multirate control', Proc. IEEE Canadian Conf. on Electrical and Computer Engineering, 1999, Alberta, Canada, p. 1585–1589.
-
6)
- Bouabdallah, S., Becker, M., Perrot, V., Siegwart, R.: `Implementation of an obstacle avoidance controller on the OS4 mini-helicopter', Proc. XII Diname Int. Symp. on Dynamic Problems of Mechanics, 2007, Illha Bela, Brazil.
-
7)
- Chen, M., Huzmezan, M.: `A combined MBPC/ 2 DOF H', Proc. AIAA Guidance, Navigation and Control Conf. and Exhibit, 2003, TX, USA.
-
8)
- Voos, H.: `Nonlinear state-dependent Riccati equation control of a quadrotor UAV', Proc. IEEE Int. Conf. on Control Applications, 2006, Munich, Germany, p. 2547–2552.
-
9)
- Castillo, P., Albertos, P., García, P., Lozano, R.: `Simple real-time attitude stabilization of a quad-rotor aircraft with bounded signals', Proc. 45th IEEE Conf. on Decision and Control, 2006, San Diego, CA, USA, p. 1533–1538.
-
10)
- Mokhtari, A., Benallegue, A., Daachi, B.: `Robust feedback linearization and GH/sub /spl infin// controller for a quadrotor unmanned aerial vehicle', Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS 2005, 2005, Alberta, Canada, p. 1198–1203.
-
11)
- Madani, T., Benallegue, A.: `Sliding mode observer and backstepping control for a quadrotor unmanned aerial vehicles', Proc. American Control Conf., 2007, New York, NY, USA, p. 5887–5892.
-
12)
- Madani, T., Benallegue, A.: `Control of a quadrotor mini-helicopter via full state backstepping technique', Proc. 45th IEEE Conf. on Decision and Control, 2006, San Diego, CA, USA, p. 1515–1520.
-
13)
- Pounds, P., Mahony, R., Hynes, P., Roberts, J.: `Design of a four-rotor aerial robot', Proc. Australasian Conf. on Robotics and Automation, 2002, Auckland, New Zealand, p. 145–150.
-
14)
- Bouabdallah, S., Noth, A., Siegwart, R.: `PID versus LQ control techniques applied to an indoor micro quadrotor', Proc. IEEE Int. Conf. on Intelligent Robots and Systems, September–October 2004, Sendai, Japan.
-
15)
- D.G. Meyer . Cost translation and a lifting approach to the multirate LQG problem. IEEE Trans. Autom. Control , 9 , 1411 - 1415
-
16)
- Bouabdallah, S., Siegwart, R.: `Towards intelligent miniature flying robots', Proc. Field and Service Robotics, 2005, Port Douglas, Australia.
-
17)
- Voos, H.: `Nonlinear and neural network-based control of a small four-rotor aerial robot', Proc. IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics, 2007, ETH Zürich, Switzerland, p. 1–6.
-
18)
- Coza, C., Macnab, C.J.B.: `A new robust adaptive-fuzzy control method applied to quadrotor helicopter stabilization', Proc. Annual meeting of the North American Fuzzy Information Processing Society, 2006, Montreal, Canada, p. 454–458.
-
19)
- J. Wang , T. Chen , B. Huang . Multirate sampled-data systems: computing fast-rate models. J. Process Control , 1 , 79 - 88
-
20)
- García, P., Castillo, P., Lozano, R., Albertos, P.: `Robustness with respect to delay uncertainties of a predictor-observer based discrete-time controller', Proc. 45th IEEE Conf. on Decision and Control, 2006, San Diego, CA, USA, p. 199–204.
-
21)
- Madani, T., Benallegue, A.: `Backstepping sliding mode control applied to a miniature quadrotor flying robot', Proc. 32nd Annual Conf. on IEEE Industrial Electronics, IECON, 2006, p. 700–705.
-
22)
- Bouabdallah, S., Siegwart, R.: `Backstepping and sliding-mode techniques applied to an indoor micro quadrotor', Proc. IEEE Int. Conf. on Robotics and Automation, 2005, Barcelona, Spain, p. 2247–2252.
-
23)
- D. Li , S.L. Shah , T. Chen . Analysis of dual-rate inferential control systems. Automatica , 6 , 1053 - 1059
-
24)
- Madani, T., Benallegue, A.: `Backstepping control for a quadrotor helicopter', Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS 2006, 2006, Beijing, China, p. 3265–3260.
-
25)
- T. Chen , B. Francis . (1995) Optimal sampled-data control systems.
-
26)
- Sagfors, M.F., Toivonen, H.T., Lennartson, B.: `State-splace solution to the multirate H-infinity control problem: a lifting approach', Proc. 36th IEEE Conf. on Decision and Control, 1997, San Diego, CA, USA, p. 2061–2066.
-
27)
- M. Sigut , L. Acosta , G.N. Marichal . Determining the stability of a multifrequency large-scale system using lifting operators. IEE Proc. Control Theory Appl. , 4 , 453 - 459
-
28)
- Madani, T., Benallegue, A.: `Backstepping control with exact 2-sliding mode estimation for a quadrotor unmanned aerial vehicle', Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, IROS 2007, 2007, San Diego, CA, USA, p. 141–146.
-
29)
- Lim, K.B., Shin, J.Y., Moerder, D.D., Cooper, E.G.: `A new approach to attitude stability and control for low airspeed vehicles', Report Number: AIAA Paper 2004-5008, NASA Technical Report, Document ID: 20040095917, 2004.
-
30)
- Bouabdallah, S., Caprari, G., Siegwart, R.: `Design and control of an indoor coaxial helicopter', Proc. IEEE Int. Conf. on Intelligent Robots and Systems, 2006, Beijing, China, p. 2930–2935.
-
31)
- Bouabdallah, S., Murrieri, P., Siegwart, R.: `Design and control of an indoor micro quadrotor', Proc. IEEE Int. Conf. on Robotics and Automation, 2004, New Orleans, LA, USA, p. 4393–4398.
-
32)
- Chen, T.: `A lifting approach to analysis and design of nonuniform multirate filter banks', Proc IEEE Canadian Conf. on Electrical and Computer Engineering, 1995, Montreal, Canada, p. 874–877.
-
33)
- Besnard, L., Shtessel, Y.B., Landrum, B.: `Control of a quadrotor vehicle using sliding mode disturbance observer', Proc. American Control Conf., 2007, New York, NY, USA, p. 5230–5235.
-
34)
- Benallegue, A., Mokhtari, A., Fridman, L.: `Feedback linearization and high order sliding mode observer for a quadrotor UAV', Proc. 2006 Int. Workshop on Variable Structure Systems, 2006, Alghero, Italy, p. 365–372.
-
35)
- P. Castillo , R. Lozano , A. Azul . Stabilization of a mini rotorcraft with four rotors. IEEE Control Syst. Mag. , 45 - 55
-
36)
- P. Castillo , A. Dzul , R. Lozano . Real-time stabilization and tracking of a four-rotor mini rotorcraft. IEEE Trans. Control Syst. Technol. , 4 , 510 - 516
-
37)
- T. Chen . Nonuniform multirate filter banks: analysis and design with an H∞ performance measure. IEEE Trans. Signal Process. , 3 , 572 - 582
-
38)
- Chen, M., Huzmezan, M.: `A simulation model and H', Proc. IASTED Int. Conf. on Modelling, Simulation and Optimization, 2003, p. 320–325.
-
39)
- W. Barnes , W. McCormick . (1994) Aerodynamics aeronautics and flight mechanics.
-
40)
- Mokhtari, A., Benallegue, A.: `Dynamic feedback controller of Euler angles and wind parameters estimation for a quadrotor unmanned aerial vehicle', Proc. IEEE Int. Conf. on Robotics and Automation, 2004, New Orleans, LA, USA, p. 2359–2366.
-
1)