Skip to main content
Log in

Multiple models switching control based on recurrent neural networks

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

This paper presents a novel approach in designing adaptive controller to improve the transient performance for a class of nonlinear discrete-time systems under different operating modes. The proposed scheme consists of generalized minimum variance (GMV) controllers and a compensating controller. GMV controllers are based on the known nominal linear multiple models, while the compensating controller is based upon a recurrent neural network. The adaptation law of network weight is derived from Lyapunov stability theory. A suitable switching control strategy is applied to choose the best controller by the performance indices at every sampling instant. Simulations are discussed in order to illustrate the merits of the proposed method.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Athans M, Castanon D, Dunn K (1977) The stochastic control of the F-8C aircraft using a multiple model adaptive control (MMAC) method–Part I: equilibrium flight. IEEE Trans Autom Control 22(5):768–780

    Article  Google Scholar 

  2. Lainiotis DG (1971) Optimal adaptive estimation: structure and parameter adaptation. IEEE Trans Autom Control 16(2):160–170

    Article  MathSciNet  Google Scholar 

  3. Narendra KS, Balakrishnan J (1994) Improving transient response of adaptive control systems using multiple models and switching. IEEE Trans Autom Control 39(9):1861–1866

    Article  MATH  MathSciNet  Google Scholar 

  4. Narendra KS, Balakrishnan J (1997) Adaptive control using multiple models and switching. IEEE Trans Autom Control 42(2):171–187

    Article  MATH  MathSciNet  Google Scholar 

  5. Narendra KS, Driolet O, Feiler M, George K (2003) Adaptive control using multiple models, switching and tuning. Int J Adapt Contr Signal Proc 17(2):87–102

    Article  MATH  Google Scholar 

  6. Lourenco JMA, Lemos JM (2006) Learning in multiple model adaptive control switch. IEEE Instrum Meas Mag 9(3):24–29

    Article  Google Scholar 

  7. Chen LJ, Narendra KS (2001) Nonlinear adaptive control using neural networks and multiple models. Automatica 37(8):1245–1255

    Article  MATH  MathSciNet  Google Scholar 

  8. Xi YG, Wang F (1996) Nonlinear multi-model predictive control. Acta Autom Sin 22(4):456–461

    MATH  MathSciNet  Google Scholar 

  9. Lin CM, Hsu CF (2003) Neural network hybrid control for antilock braking systems. IEEE Trans Neural Netw 14(2):351–359

    Article  Google Scholar 

  10. Wang CH, Lin TC, Lee TT, Liu HL (2002) Adaptive hybrid intelligent control for uncertain nonlinear dynamical systems. IEEE Trans Syst Man Cybern B 32(5):583–597

    Article  Google Scholar 

  11. Ibarrola JJ, Pinzolas M, Cano JM (2005) A neurofuzzy scheme to on-line identification in an adaptive–predictive control. Neural Comput Appl 15:41–48

    Google Scholar 

  12. Zhai JY, Fei SM, Zhang KJ (2006) A discrete-time system adaptive control using multiple models and RBF neural networks. In: Wang J (ed) International symposium on neural networks. Springer, Berlin, pp 881–887

    Google Scholar 

  13. Tsoi AC, Back AD (1997) Discrete time recurrent neural network architectures: a unifying review. Neurcomputing 15(3):183–223

    Article  MATH  Google Scholar 

  14. Zhu QM, Guo LZ (2004) Stable adaptive neurocontrol for nonlinear discrete-time systems. IEEE Trans Neural Netw 15(3):653–662

    Article  Google Scholar 

  15. Morse AS, Mayne DQ, Goodwin GC (1992) Applications of hysteresis switching in parameter adaptive control. IEEE Trans Autom Control 37(9):1343–1354

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors would like to thank the anonymous reviewers for their constructive and insightful comments for further improving the quality of this work. This work is supported by National Natural Science Foundation of China (60404006, 60574006).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun-Yong Zhai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhai, JY., Fei, SM. & Mo, XH. Multiple models switching control based on recurrent neural networks. Neural Comput & Applic 17, 365–371 (2008). https://doi.org/10.1007/s00521-007-0123-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-007-0123-9

Keywords

Navigation