Flutter Fault-Tolerant Control with Observer Considering Actuator Faults and Time Delay

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To suppress airfoil flutter, a lot of control methods have been proposed, such as classical control methods and optimal control methods. However, these methods did not consider the influence of actuator faults. We designed a new finite-time H adaptive fault-tolerant flutter controller by radial basis function neural network technology and adaptive fault-tolerant control methods, taking into account actuator faults, actuator saturation, modeling uncertainties and external disturbances. The theoretical section of this paper is about airfoil flutter dynamic modeling and the design of adaptive fault-tolerant controller. Lyapunov function and linear matrix inequality are employed to prove the stability of the proposed control method of this paper. The numeral simulation section further proves the effectiveness and robustness of the proposed control algorithm of this paper.

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  1. 1.

    Zhao YH (2009) Flutter suppression of a high aspect-ratio wing with multiple control surfaces. J Sound Vib 324(3–5):490–513

  2. 2.

    Abdel-Motagaly K, Guo XY, Duan B, Mei CH (2005) Active control of nonlinear panel flutter under yawed supersonic flow. AIAA J 43(3):671–680

  3. 3.

    Lee KW, Singh SN (2015) Adaptive control of multi-input aeroelastic system with constrained inputs. J Guidance Control Dyn 38(12):2337–2349

  4. 4.

    Zhao N, Cao DQ, Gao HN (2010) Active flutter suppression for a 2-D supersonic airfoil with nonlinear stiffness. Syst Control Aeronaut Astronaut 8(10):493–497

  5. 5.

    Hasheminejad SM, Motaaleg MA (2015) Aeroelastic analysis and active flutter suppression of an electro-rheological sandwich cylindrical panel under yawed supersonic flow. Aerosp Sci Technol 42:118–127

  6. 6.

    Lee KW, Singh NS (2015) Multi-input noncertainty-equivalent adaptive control of an aeroelastic system. J Guidance Control Dyn 33(5):1451–1460

  7. 7.

    Yang C, Song C, Wu ZG, Zhang QH (2010) Active flutter suppression of airplane configuration with multiple control surface. Acta Aeronaut Astronaut Sin 31(8):1501–1508

  8. 8.

    Shen Q, Wang DW, Zhu SQ, Poh EK (2015) Inertia-free fault-tolerant spacecraft attitude tracking using control allocation. Automatica 62:114–121

  9. 9.

    Castaldi P, Mimmo N, Simani S (2014) Differential geometry based active fault tolerant control for aircraftm. Control Eng Pract 32:227–235

  10. 10.

    Allerhand LI, Shaked U (2015) Robust switching-based fault tolerant control. IEEE Trans Autom Control 60(8):2272–2276

  11. 11.

    Li XJ, Yang GH (2012) Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures. IET Control Theory Appl 6(10):1544–1551

  12. 12.

    Liu M, Daniel WCH, Shi P (2015) Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance. Automatica 58:5–14

  13. 13.

    Liu B, Qiu BB, Cui YY, Sun JQ (2016) Fault-tolerant H control for networked control systems with randomly occurring missing measurements. Neurocomputing 175(29):459–465

  14. 14.

    Wang RR, Jing H, Karimi HR, Chen N (2015) Robust fault-tolerant H control of active suspension systems with finite-frequency constraint. Mech Syst Signal Process 62–63:341–355

  15. 15.

    Xiao B, Hu QL, Zhang YM (2012) Adaptive sliding mode fault tolerant attitude tracking control for flexible spacecraft under actuator saturation. IEEE Trans Control Syst Technol 20(6):1605–1612

  16. 16.

    Hu QL, Xiao B, Friswell MI (2011) Robust fault-tolerant control for spacecraft attitude stabilization subject to input saturation. IET Control Theory Appl 5(2):271–282

  17. 17.

    Jiang J, Yu X (2012) Fault-tolerant control systems: a comparative study between active and passive approaches. Ann Rev Control 36(1):60–72

  18. 18.

    Shen Q, Wang DW, Zhu SQ, Poh EK (2015) Integral-type sliding mode fault-tolerant control for attitude stabilization of spacecraft. IEEE Trans Control Syst Technol 23(3):1131–1138

  19. 19.

    Han Y, Biggs JD, Cui NG (2015) Adaptive fault-tolerant control of spacecraft attitude dynamics with actuator failures. J Guidance Control Dyn 38(10):2033–2042

  20. 20.

    Godard Kumar KD (2010) Fault tolerant reconfigurable satellite formations using adaptive variable structure techniques. J Guidance Control Dyn 33(3):969–984

  21. 21.

    Huang R, Qian WM, Hu HY, Zhao YH (2015) Design of active flutter suppression and wind-tunnel tests of a wing model involving a control delay. J Fluids Struct 55:409–427

  22. 22.

    Singh KV (2015) Active aeroelastic control with time delay for targeted flutter modes. Aerosp Sci Technol 43:281–288

  23. 23.

    Zhao YH (2011) Stability of a time-delayed aeroelastic system with a control surface. Aerosp Sci Technol 15(1):72–77

  24. 24.

    Zhou LQ, Chen YS, Chen FQ (2013) Chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow. Aerosp Sci Technol 25(1):138–144

  25. 25.

    Chen YM, Liu JK, Meng G (2011) Equivalent damping of aeroelastic system of an wing with cubic stiffness. J Fluids Struct 27(8):1447–1454

  26. 26.

    Gao MZ, Cai GP, Nan Y (2016) Adaptive fault-tolerant control of reentry vehicle considering actuator and sensor faults based on trajectory optimization. J Aerosp Eng 230(4):726–746

  27. 27.

    Lu JN, Hu HP, Bai YP (2015) Generalized radial basis function neural network based on an improved dynamic particle swarm optimization and AdaBoost algorithm. Neurocomputing 152(25):305–315

  28. 28.

    Amato F, Ariola M (2001) Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica 37(9):1459–1463

  29. 29.

    Meng QY, Shen YJ (2009) Finite-time H control for linear continuous system with norm-bounded disturbance. Commun Nonlinear Sci Numer Simul 14(4):1043–1049

  30. 30.

    Zhang W, Su H, Wang H, Han Z (2012) Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations. Commun Nonlinear Sci Numer Simul 17(12):4968–4977

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This work is supported by the Natural Science Foundation of China (11802128) and the Natural Science Foundation of Jiangsu (BK20180451).

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Correspondence to Mingzhou Gao.

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Gao, M., Han, R. & Chen, X. Flutter Fault-Tolerant Control with Observer Considering Actuator Faults and Time Delay. Int. J. Aeronaut. Space Sci. (2020) doi:10.1007/s42405-019-00245-7

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  • Airfoil flutter
  • Adaptive fault-tolerant control
  • Observer
  • Actuator fault
  • Time delay