Regular Paper

International Journal of Control, Automation and Systems 2015; 13(1): 249-256

Published online December 18, 2014

https://doi.org/10.1007/s12555-014-0018-3

© The International Journal of Control, Automation, and Systems

Adaptive Control of Nonlinear Pure-feedback Systems with Output Constraints: Integral Barrier Lyapunov Functional Approach

Bong Su Kim and Sung Jin Yoo*

Chung-Ang University

Abstract

This paper studies an adaptive control problem of completely non-affine pure-feedback systems with an output constraint. The implicit function theorem and the mean value theorem are employed to deal with unknown output-constrained non-affine nonlinearities. Then, a dynamic surface design approach based on an appropriate Integral Barrier Lyapunov Functional is presented to design an adaptive controller ensuring both the constraint satisfaction and the desired tracking ability. For the controller design, the function approximation technique using neural networks is used for estimating unknown nonlinear terms with control direction nonlinearities. It is shown that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded and the tracking error converges to an adjustable neighborhood of the origin while the output constraint is never violated.

Keywords Adaptive control, dynamic surface design, integral barrier Lyapunov functional, pure-feedback systems.

Article

Regular Paper

International Journal of Control, Automation and Systems 2015; 13(1): 249-256

Published online February 1, 2015 https://doi.org/10.1007/s12555-014-0018-3

Copyright © The International Journal of Control, Automation, and Systems.

Adaptive Control of Nonlinear Pure-feedback Systems with Output Constraints: Integral Barrier Lyapunov Functional Approach

Bong Su Kim and Sung Jin Yoo*

Chung-Ang University

Abstract

This paper studies an adaptive control problem of completely non-affine pure-feedback systems with an output constraint. The implicit function theorem and the mean value theorem are employed to deal with unknown output-constrained non-affine nonlinearities. Then, a dynamic surface design approach based on an appropriate Integral Barrier Lyapunov Functional is presented to design an adaptive controller ensuring both the constraint satisfaction and the desired tracking ability. For the controller design, the function approximation technique using neural networks is used for estimating unknown nonlinear terms with control direction nonlinearities. It is shown that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded and the tracking error converges to an adjustable neighborhood of the origin while the output constraint is never violated.

Keywords: Adaptive control, dynamic surface design, integral barrier Lyapunov functional, pure-feedback systems.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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