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Adaptive Control of a Class of Nonlinear Systems with Parameterized Unknown Dynamics

  • Jing-Chao Sun
  • Ning Wang
  • Yan-Cheng Liu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9377)

Abstract

In this paper, an observer-based adaptive control scheme for a class of nonlinear systems with parametric uncertainties is proposed. The adaptive observers using parameter estimates ensure the identification errors of system states are convergent to zero, and force the parameter estimates approach to the true values especially if the observer gains are selected large enough. By combining the Lyapunov synthesis with backstepping framework, the global asymptotical stability and bounded signals of the resulting closed-loop system can be ensured. A numerical example is employed to demonstrate the effectiveness of the proposed adaptive control scheme.

Keywords

Adaptive Control Uncertain Nonlinear Systems Unknown Dynamics Nonlinear Observer 

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References

  1. 1.
    Farrell, J.A., Polycarpou, M., Sharma, M., Dong, W.: Commanded Filtered Backstepping. IEEE Trans. Autom. Control 54, 1391–1395 (2009)CrossRefGoogle Scholar
  2. 2.
    Lin, W., Qian, C.: Adding One Power Integrator: A Tool for Global Stabilization of High Order Lower-Triangular Systems. Syst. Control Lett. 39, 339–351 (2000)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Seto, D., Annaswamy, A.: Adaptive Control of Nonlinear Systems With a Triangular Structure. IEEE Trans. Autom. Control 39, 1411–1428 (1994)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Lin, W., Qian, C.: Adaptive Control of Nonlinearly Parametrized Systems: The Smooth Feedback Framework. IEEE Trans. Automat. Control 47, 1249–1266 (2002)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Lin, W., Qian, C.: Adaptive Control of Nonlinearly Parametrized Systems: A Nonsmooth Feedback Framework. IEEE Trans. Automat. Control 47, 757–774 (2002)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Lei, H., Lin, W.: Universal Adaptive Control of Nonlinear Systems with Unknown Growth Rate by Output Feedback. Automatica 42, 1783–1789 (2006)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Li, T.S., Tong, S.C., Feng, G.: A Novel Robust Adaptive-Fuzzy-Tracking Control for a Class of Nonlinear Multi-Input/Multi-Output Systems. IEEE Trans. Fuzzy Syst. 18, 150–160 (2010)CrossRefGoogle Scholar
  8. 8.
    Tong, S.C., Li, Y.M., Feng, G., Li, T.S.: Observer-Based Adaptive Fuzzy Backstepping Dynamic Surface Control for a Class of Mimo Nonlinear Systems. IEEE Trans. Syst. Man Cybern. B, Cybern. 41, 1124–1135 (2011)CrossRefGoogle Scholar
  9. 9.
    Wang, N., Er, M.J.: Self-Constructing Adaptive Robust Fuzzy Neural Tracking Control of Surface Vehicles with Uncertainties and Unknown Disturbances. IEEE Trans. Control Syst. Tech. 23, 991–1002 (2015)CrossRefGoogle Scholar
  10. 10.
    Ge, S.S., Wang, C.: Direct Adaptive NN Control of a Class of Nonlinear Systems. IEEE Trans. Neural Netw. 13, 214–221 (2002)CrossRefGoogle Scholar
  11. 11.
    Chen, M., Ge, S.S., How, B.V.E.: Robust Adaptive Neural Network Control for a Class of Uncertain MIMO Nonlinear Systems with Input Nonlinearities. IEEE Trans. Neural Netw. 21, 796–812 (2010)CrossRefGoogle Scholar
  12. 12.
    Liu, Y.J., Tong, S.C., Wang, D., Li, T.S., Chen, C.L.P.: Adaptive Neural Output Feedback Controller Design with Reduced-Order Observer for a Class of Uncertain Nonlinear SISO Systems. IEEE Trans. Neural Netw. 22, 1328–1334 (2011)CrossRefGoogle Scholar

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© Springer International Publishing Switzerland 2015

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Authors and Affiliations

  1. 1.Marine Engineering CollegeDalian Maritime UniversityDalianChina
  2. 2.Dalian Electric Traction R&D CenterChina CNR Corporation LimitedDalianP. R. China

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