Study on Fault-Tolerant Control Scheme for a Helicopter via Adaptive H^∞ Control

Abstract:

In this paper, the stabilization problem for the 3 Degree of Freedom (3-DOF) hovering system of Quadrotor with actuator faults is investigated. To handle the helicopter system, an H robust fault-tolerant state feedback control is proposed. In addition, an adaptive method is combined with fault-tolerant H control to improve the flight performance. A more practical actuator fault is built, and the model of the system is presented. The design operates in Linear Matrix Inequality (LMI) technique. Finally, the design was verified on both MATLAB and 3-DOF platform to exam the feasibility and stability of the method.

• Periodical: Applied Mechanics and Materials (Volume 455)
• Pages: 395-401
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.455.395
• Online since: November 2013
• Authors: Xi Chen*, Fu Yang Chen, Bin Jiang
• Keywords: Actuator Fault, Adaptive Control, Fault-Tolerant Control, H^∞, LMI

References

[1] XURong, OZGUNEG U . Sliding mode control of a quadro-tor helicopter. Proceedings of the 45th IEEE Confer-ence on Decision and Control . (2006).

[2] Quanser, 3-DOF Control Manual, 2004, 2002, 2(3): 120-122.

[3] Hoffmann G M, Huang H, Waslander S L, et al. Precision flight control for a multi-vehicle quadrotor helicopter testbed[J]. Control engineering practice, 2011, 19(9): 1023-1036.

DOI: 10.1016/j.conengprac.2011.04.005

[4] Hu Q, Fei Q, Wu Q, et al. Research and application of nonlinear control techniques for quad rotor UAV[C]/Control Conference (CCC), 2012 31st Chinese. IEEE, 2012: 706-710.

[5] W. Fu-Zhong, et al. New synthesis design of reliable robust tracking controllers using LMI[C]. Advanced Motion Control, Turkey. 2006: 56-61.

DOI: 10.1109/amc.2006.1631632

[6] Yang G H, Ye D. Reliable H∞ control of linear systems with adaptive mechanism [J]. IEEE Transactions on Automatic Control, 2010, 55(1): 242-247.

DOI: 10.1109/tac.2009.2036293

[7] Pedro C, ed. Modeling and Control of Mini-Flying Ma-chines, America: Springer, (2005).

[8] Bernstein D S. LQG control with an H∞ performance bound : Riccati equation approach [J] . IEEE Tran. Auetern. Control , 1989, 34( 4) : 293- 305.

DOI: 10.1109/9.16419

[9] Pachter M, Nelson E B. Reconfigurable flight control[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2005, 219(4): 287-319.

DOI: 10.1243/095441005x30243

[10] K. FURUTA and S.B. KIM. Polw Assignment in a Special Disk. IEEE Transaction on Automatic control [J], Vol. 32, No. 5, 423-427, (1987).

[11] Langbort C; Chandra R S; D' Andrea R Distributed control design for systems interconnected over an arbitrary graph 2004 (09) doi: 10. 1109/TAC. 2004. 834123.

DOI: 10.1109/tac.2004.834123

[12] Miao Z, Li H, Wang J. An optimal adaptive H-infinity tracking control design via wavelet network [J]. Journal of Control Theory and Applications, 2008, 6(3): 259-266.

DOI: 10.1007/s11768-008-6174-3

[13] Tsakalis K S, Dash S. Approximate H∞ loop shaping in PID parameter adaptation [J]. International Journal of Adaptive Control and Signal Processing, 2013, 27(1-2): 136-152.

DOI: 10.1002/acs.2350

[14] Wang H, Daley S. Actuator fault diagnosis: an adaptive observer-based technique [J]. Automatic Control, IEEE Transactions on, 1996, 41(7)1073-107.

DOI: 10.1109/9.508919