This paper presents a model-reference adaptive control approach for systems with unstructured uncertainty based on two least-squares parameter estimation methods: gradient-based method and recursive least-squares method. The unstructured uncertainty is approximated by Chebyshev orthogonal polynomial basis functions. The use of orthogonal basis functions improves the function approximation significantly and enables better convergence of parameter estimates. The least-squares gradient adaptive control achieves superior parameter convergence as compared to the standard model-reference adaptive control. Flight control simulations were conducted with four adaptive controllers: least-squares gradient adaptive control, recursive least-squares adaptive control, standard model-reference adaptive control, and neural-network adaptive control. The results show that the recursive least-squares adaptive control achieves better robustness as measured by a time-delay margin, while the least-squares gradient adaptive control achieves better tracking performance than both the standard model-reference adaptive control and neural-network adaptive control.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Least-Squares Model-Reference Adaptive Control with Chebyshev Orthogonal Polynomial Approximation


    Contributors:

    Published in:

    Publication date :

    2013-06-01




    Type of media :

    Conference paper , Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Predictor-Model-Based Least-Squares Model-Reference Adaptive Control with Chebyshev Orthogonal Polynomial Approximation (AIAA 2013-5134)

    Nguyen, N.T. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2013


    Least-Squares Adaptive Control Using Chebyshev Orthogonal Polynomials

    Nguyen, Nhan / Burken, John / Ishihara, Abraham | AIAA | 2011


    Least-Squares Adaptive Control Using Chebyshev Orthogonal Polynomials

    Nguyen, N. / Burken, J. / Ishihara, A. et al. | British Library Conference Proceedings | 2011


    Least-Squares Adaptive Control Using Chebyshev Orthogonal Polynomials

    Nguyen, Nhan T. / Burken, John / Ishihara, Abraham | NTRS | 2011