Skip to main content

Command Filtered Adaptive Fuzzy Backstepping FTC Against Actuator Fault

  • Chapter
  • First Online:
Fault Diagnosis and Fault-Tolerant Control Based on Adaptive Control Approach

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 91))

  • 1399 Accesses

Abstract

This chapter investigates the problem of fuzzy adaptive tracking control for a class of uncertain nonlinear strict-feedback systems with actuator fault. The actuator fault is assumed to have not only time-varying gain fault but also time-varying bias fault. Combining command filtered backstepping design with the integral-type Lyapunov function and utilizing Nussbaum-type gain technique, an adaptive fuzzy fault-tolerant control scheme is proposed to guarantee that the resulting closed-loop system is asymptotically bounded with the tracking error converging to a neighborhood of the origin. The control scheme requires only virtual control and its first one derivative instead of them and their higher derivatives in backstepping design procedures. Simulation results demonstrate the effectiveness of the proposed techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Wang, L.X., Mendel, J.M.: Fuzzy basis functions, universal approximation and orthogonal least-squares learning. IEEE Trans. Neural Netw. 3(5), 807–814 (1992)

    Article  Google Scholar 

  2. Ying, H.: Sufficient conditions on general fuzzy systems as function approximators. Automatica 30(3), 521–525 (1994)

    Article  MATH  Google Scholar 

  3. Wang, L.X.: Stable adaptive fuzzy control of nonlinear system. IEEE Trans. Fuzzy Syst. 1(2), 146–155 (1993)

    Article  Google Scholar 

  4. Driankov, D., Hellendoom, H., Reinfrank, M.: An Introduction to Fuzzy Control. Springer, New York (1993)

    Book  Google Scholar 

  5. Boulkroune, A., Tadjine, M., Saad, M.M., Farza, M.: How to design a fuzzy adaptive controller based on observers for uncertain affine nonlinear systems. Fuzzy Sets Syst. 159(8), 926–948 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Wang, L.X.: Adaptive Fuzzy Systems and Control: Design and Stability Analysis. Prentice-Hall, Englewood Cliffs (1994)

    Google Scholar 

  7. Zhang, Y.P., Peng, P.Y., Jiang, Z.P.: Stable neural controller design for unknown nonlinear systems using backstepping. IEEE Trans. Neural Netw. 11(6), 1347–1360 (2000)

    Article  Google Scholar 

  8. Wang, M., Chen, B., Shi, P.: Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Trans. Syst. Man Cybern. Part B Cybern. 38(3), 721–730 (2008)

    Article  Google Scholar 

  9. Liu, J., Wang, W., Tong, S.C.: Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 40(1), 170–184 (2010)

    Article  Google Scholar 

  10. Lee, H.: Robust adaptive fuzzy control by backstepping for a class of MIMO nonlinear systems. IEEE Trans. Fuzzy Syst. 19(2), 265–275 (2011)

    Article  Google Scholar 

  11. Ge, S.S., Tee, K.P.: Approximation-based control of nonlinear MIMO time-delay systems. Automatica 43(1), 31–43 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhang, T.P., Ge, S.S.: Adaptive neural network tracking control of MIMO nonlinear systems with unknown dead zones and control directions. IEEE Trans. Neural Netw. 20(3), 483–497 (2009)

    Article  Google Scholar 

  13. Krstic, M., Kanellakopoulos, I., Kokotovic, P.: Nonlinear and Adaptive Control Design. Wiley, Hoboken (1995)

    MATH  Google Scholar 

  14. Lin, T.C., Lee, T.Y.: Chaos synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive fuzzy sliding mode control. IEEE Trans. Fuzzy Syst. 19(4), 623–635 (2011)

    Article  Google Scholar 

  15. Li, Z.J., Cao, X.Q., Ding, N.: Adaptive fuzzy control for synchronization of nonlinear teleoperators with stochastic time-varying communication delays. IEEE Trans. Fuzzy Syst. 19(4), 745–757 (2011)

    Article  Google Scholar 

  16. Pan, Y.P., Er, M.J., Huang, D.P., Wang, Q.R.: Adaptive fuzzy control with guaranteed convergence of optimal approximation error. IEEE Trans. Fuzzy Syst. 19(5), 807–818 (2011)

    Article  Google Scholar 

  17. Cara, A.B., Pomares, H., Rojas, I.: A new methodology for the online adaptation of fuzzy self-structuring controllers. IEEE Trans. Fuzzy Syst. 19(3), 449–464 (2011)

    Article  Google Scholar 

  18. Lemos, A., Caminhas, W., Gomide, F.: Multivariable gaussian evolving fuzzy modeling system. IEEE Trans. Fuzzy Syst. 19(1), 91–104 (2011)

    Article  Google Scholar 

  19. Hsueh, Y.C., Su, S.F., Tao, C.W., Hsiao, C.C.: Robust L2-gain compensative control for direct-adaptive fuzzy-control-system design. IEEE Trans. Fuzzy Syst. 18(4), 661–673 (2010)

    Article  Google Scholar 

  20. Chen, J., Patton, R.J.: Robust Model-Based Fault Diagnosis For Dynamic Systems. Kluwer Academic, Boston (1999)

    Book  MATH  Google Scholar 

  21. Mahmoud, M.M., Jiang, J., Zhang, Y.: Active Fault Tolerant Control Systems. Springer, NewYork (2003)

    MATH  Google Scholar 

  22. Yang, H., Jiang, B., Cocquempot, V.: Fault Tolerant Control Design For Hybrid Systems. Springer, Berlin (2010)

    Book  MATH  Google Scholar 

  23. Wang, D., Shi, P., Wang, W.: Robust Filtering and Fault Detection of Switched Delay Systems. Springer, Berlin (2013)

    Book  MATH  Google Scholar 

  24. Du, D., Jiang, B., Shi, P.: Fault Tolerant Control for Switched Linear Systems. Springer, Cham, Heidelberg (2015)

    Book  MATH  Google Scholar 

  25. Shen, Q., Jiang, B., Cocquempot, V.: Fault diagnosis and estimation for near-space hypersonic vehicle with sensor faults. Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 226(3), 302–313 (2012)

    Google Scholar 

  26. Shen, Q., Jiang, B., Cocquempot, V.: Adaptive fault tolerant synchronization with unknown propagation delays and actuator faults. Int. J. Control Autom. Syst. 10(5), 883–889 (2012)

    Google Scholar 

  27. Shen, Q., Jiang, B., Cocquempot, V.: Fuzzy logic system-based adaptive fault tolerant control for near space vehicle attitude dynamics with actuator faults. IEEE Trans. Fuzzy Syst. 21(2), 289–300 (2013)

    Google Scholar 

  28. Shen, Q., Jiang, B., Cocquempot, V.: Adaptive fault-tolerant backstepping control against actuator gain faults and its applications to an aircraft longitudinal motion dynamics. Int. J. Robust Nonlinear Control 20(10), 448–459 (2013)

    Google Scholar 

  29. Astrom, K.J.: Intelligent control. In: Proceedings of 1st European Control Conference, Grenoble, pp. 2328–2329 (1991)

    Google Scholar 

  30. Gertler, J.J.: Survey of model-based failure detection and isolation in complex plants. IEEE Control Syst. Mag. 8(6), 3–11 (1988)

    Article  Google Scholar 

  31. Frank, P.M., Seliger, R.: Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy—a survey and some new results. Automatica 26(3), 459–474 (1990)

    Article  MATH  Google Scholar 

  32. Frank, P.M.: Analytical and qualitative model-based fault diagnosis—a survey and some new results. Eur. J. Control 2(1), 6–28 (1996)

    Article  MATH  Google Scholar 

  33. Garcia, E.A., Frank, P.M.: Deterministic nonlinear observer-based approaches to fault diagnosis: a survey. IFAC Control Eng. Pract. 5(6), 663–670 (1997)

    Article  Google Scholar 

  34. Patton, R.J.: Fault-tolerant control: the 1997 situation (survey). In: Proceedings of the IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes: SAFEPROCESS, pp. 1029–1052 (1997)

    Google Scholar 

  35. Isermann, R., Schwarz, R., Stolzl, S.: Fault-tolerant drive-by-wire systems-concepts and realization. In: Proceedings of the IFAC Symposium Fault Detection, Supervision and Safety for Technical Processes: SAFEPROCESS, pp. 1–5 (2000)

    Google Scholar 

  36. Frank, P.M.: Online fault detection in uncertain nonlinear systems using diagnostic observers: a survey. Int. J. Syst. Sci. 25(12), 2129–2154 (1994)

    Article  MATH  Google Scholar 

  37. Patton, R.J.: Robustness issues in fault-tolerant control. In: Proceedings of the International Conference on Fault Diagnosis, Toulouse, France, pp. 1081–1117 (1993)

    Google Scholar 

  38. Song, Q., Hu, W.J., Yin, L., Soh, Y.C.: Robust adaptive dead zone technology for fault-tolerant control of robot manipulators. J. Intell. Robot. Syst. 33(1), 113–137 (2002)

    Article  MATH  Google Scholar 

  39. Shen, Q.K., Jiang, B., Shi, P.: Novel neural networks-based fault tolerant control scheme with fault alarm. IEEE Trans. Cybern. 44(11), 2190–2201 (2014)

    Google Scholar 

  40. Zuo, Z.: Trajectory tracking control design with command-filtered compensation for a quadrotor. IET Control Theory Appl. 4(11), 2343–2355 (2012)

    Article  MathSciNet  Google Scholar 

  41. Farrell, J.A., Polycarpou, M., Sharma, M., Dong, W.: Command filtered backstepping. IEEE Trans. Autom. Control 54(6), 1391–1395 (2009)

    Article  MathSciNet  Google Scholar 

  42. Polycarpou, M.M., Ioannou, P.A.: A robust adaptive nonlinear control design. Automatica 31(3), 423–427 (1995)

    MathSciNet  MATH  Google Scholar 

  43. Ryan, E.P.: A universal adaptive stabilizer for a class of nonlinear systems. Syst. Control Lett. 16(91), 209–218 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  44. Ye, X., Jiang, J.: Adaptive nonlinear design without a priori knowledge of control directions. IEEE Trans. Autom. Control 43(11), 1617–1621 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  45. Ge, S.S., Hong, F., Lee, T.H.: Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. IEEE Trans. Syst. Man Cybern. Part B Cybern. 34(1), 499–516 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peng Shi .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Shen, Q., Jiang, B., Shi, P. (2017). Command Filtered Adaptive Fuzzy Backstepping FTC Against Actuator Fault. In: Fault Diagnosis and Fault-Tolerant Control Based on Adaptive Control Approach. Studies in Systems, Decision and Control, vol 91. Springer, Cham. https://doi.org/10.1007/978-3-319-52530-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-52530-3_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52529-7

  • Online ISBN: 978-3-319-52530-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics