Approximation‐based adaptive control of uncertain non‐linear pure‐feedback systems with full state constraints

  • Bong Su Kim
    School of Electrical and Electronics Engineering, Chung‐Ang University 84 Heukseok‐Ro, Dongjak‐Gu Seoul 156‐756 South Korea
  • Sung Jin Yoo
    School of Electrical and Electronics Engineering, Chung‐Ang University 84 Heukseok‐Ro, Dongjak‐Gu Seoul 156‐756 South Korea

書誌事項

公開日
2014-11
権利情報
  • http://onlinelibrary.wiley.com/termsAndConditions#vor
DOI
  • 10.1049/iet-cta.2014.0254
公開者
Institution of Engineering and Technology (IET)

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説明

<jats:p>This study proposes an adaptive approximation‐based control approach for non‐linear pure‐feedback systems in the presence of full state constraints. Completely non‐affine non‐linear functions are considered and assumed to be unknown. The dynamic surface design based on integral barrier Lyapunov functionals is provided to achieve both the desired tracking performance and the constraints satisfaction, in consideration of the full‐state‐constrained non‐affine non‐linearities. In this design procedure, simple sufficient conditions for choosing control gains, which can be checked off‐line, are established to guarantee the feasibility of the controller. The function approximation technique is employed to estimate unknown non‐linearities induced from the controller design procedure where the adaptive laws using the projection operator are designed to ensure the boundedness of the function approximators in the feasibility conditions. It is shown that all the signals in the closed‐loop system are uniformly ultimately bounded and the tracking error converges to an adjustable neighbourhood of the origin while all state variables always remain in the constrained state space.</jats:p>

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