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Neural network-based adaptive output feedback control for MIMO non-affine systems

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Abstract

An adaptive output feedback control scheme is proposed for a class of multi-input-multi-output (MIMO) non-affine nonlinear systems in which the output signal can track the reference signal. In the systems, the relative degree of the regulated output is assumed to be known. A state observer is constructed to estimate the unknown state in the systems. A neural network (NN) is introduced to compensate the modeling errors, and a robust control is also used to reduce the approximation error, which improves the capacity of resisting disturbance of the systems. The stability of the systems is rigidly proved through Lyapunov’s direct method. Simulation results demonstrate the effectiveness and feasibility of proposed scheme.

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References

  1. Li C-T, Tan Y-H (2004) Observer-based adaptive output feedback control of nonlinear systems using neural network. J Syst Simul 16(10):2335–2339

    Google Scholar 

  2. Li AJ, Wang XM, Shen Y (2003) An adaptive output-feedback control method without relying on state estimation. Electron Optics & Control, 10(2):14–16

    Google Scholar 

  3. Zhang R, Jiang CS, Wu GQ, Lu JW (2003) Nonlinearly adaptive output feedback control using neural network. J Nanjing Univ Aeronaut Astronaut 35(2):179–183

    Google Scholar 

  4. Ge SS, Huang CC (1999) Adaptive neural network control of nonlinear systems by state and output feedback. IEEE Trans Syst Man Cybern B 29(6):818–828

    Article  Google Scholar 

  5. Li HX, Tong SC (2003) A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems. IEEE Trans Fuzzy Syst 11(1):24–34

    Article  Google Scholar 

  6. Calise AJ, Hovakimyan N, Idan M (2001) Adaptive output feedback control of nonlinear systems using neural networks. Automatica 37(8):1201–1211

    Article  MathSciNet  MATH  Google Scholar 

  7. Ge SS, Huang CC (1997) Direct adaptive neural network control of nonlinear systems. In: Proceedings of the American Control conference, Albuqerque, New Mexico, pp 1568–1572

  8. Chiu CS (2006) Mixed feedforward/feedback based adaptive fuzzy control for a class of MIMO nonlinear systems. IEEE Trans Fuzzy Syst 14(6):716–727

    Article  Google Scholar 

  9. Zhao T (2008) RBFN-based decentralized adaptive control of a class of large-scale non-affine nonlinear systems. Neural Comput Appl 17:357–364

    Article  Google Scholar 

  10. Zhao T, Sui SL (2006) Adaptive control for a class of non-affine nonlinear systems via two-layer neural networks. In: Proceedings of the 6th World Congress on Intelligent Control and Automation. Dalian, pp 959–962

  11. Tong SC, Li HX, Wang W (2004) Observer-based adaptive fuzzy control for SISO nonlinear systems. Fuzzy Sets Syst 148:355–376

    Article  MathSciNet  MATH  Google Scholar 

  12. Lin TC (2010) Observer-based robust adaptive interval type-2 fuzzy tracking control of multivariable nonlinear systems. Eng Appl Artif Intell 23:386–399

    Article  Google Scholar 

  13. Leu YG, Lee TT, Wang WY (1999) Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems. IEEE Trans Syst Man Cybern B 29(5):583–591

    Article  Google Scholar 

  14. Tong SC, Li XH (2003) Fuzzy adaptive sliding-mode control for MIMO nonlinear systems. IEEE Trans on Fuzzy Syst 11(3):354–360

    Article  Google Scholar 

  15. Tong SC, Chen B, Wang YF (2005) Fuzzy adaptive output feedback control for MIMO nonlinear systems. Fuzzy Sets Syst 156(2):285–299

    Article  MathSciNet  MATH  Google Scholar 

  16. Chang YC (2000) Robust tracking control of nonlinear MIMO systems via fuzzy approaches. Automatica 36:1535–1545

    Article  MATH  Google Scholar 

  17. Gao Y, Er MJ (2002) Adaptive intelligent control of MIMO nonlinear systems based on generalized fuzzy neural network. In Proceedings of IEEE Conf Neural Networks, pp 2333–2338

  18. Adetona O, Garcia E, Keel LH (2000) A new method for the control of discrete nonlinear dynamic systems using neural networks. IEEE Trans Neural Netw 11(1):102–112

    Google Scholar 

  19. Isidori A (1995) Nonlinear control systems. Springer, Berlin

    MATH  Google Scholar 

  20. Sastry SS (1999) Nonlinear systems. Springer, NewYork

    MATH  Google Scholar 

  21. Lang S (1983) Real analysis. reading. Addison-Wesley, Reading

  22. Min YY, Lin YG (2007) Barbalat lemma and its application in analysis of system stability. J Shangdong Univ 37(1):51–56

    Google Scholar 

  23. Zhao T (2005) Modeling for hysteresis nonlinearity based on peisach and designing of the scheme of neural networks adaptive control. Doctoral Dissertation of Shanghai Jiaotong University, Shanghai, China

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Acknowledgments

This research is supported by Shandong natural science fund project (Y2007G06).

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Correspondence to Zhao Tong.

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Tong, Z., Feng-li, F. Neural network-based adaptive output feedback control for MIMO non-affine systems. Neural Comput & Applic 21, 145–151 (2012). https://doi.org/10.1007/s00521-011-0638-y

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