Robust sliding mode-based extremum-seeking controller for reaction systems via uncertainty estimation approach

Lara-Cisneros, Gerardo;Femat, Ricardo;Dochain, Denis
(2017) International Journal of Robust and Nonlinear Control — Vol. 27, p. 3218-3235 (2017)

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Authors
  • Lara-Cisneros, Gerardo
    Author
  • Femat, Ricardo
    Author
  • Dochain, DenisUCLouvain
    Author
Abstract
This paper deals with the design of a robust sliding mode-based extremum-seeking controller aimed at the online optimization of a class of uncertain reaction systems. The design methodology is based on an input– output linearizing method with variable-structure feedback, such that the closed-loop system converges to a neighborhood of the optimal set point with sliding mode motion. In contrast with previous extremumseeking control algorithms, the control scheme includes a dynamic modelling-error estimator to compensate for unknown terms related with model uncertainties and unmeasured disturbances. The proposed online optimization scheme does not make use of a dither signal or a gradient-based optimization algorithm. Practical stabilizability for the closed-loop system around to the unknown optimal set point is analyzed. Numerical experiments for two nonlinear processes illustrate the effectiveness of the proposed robust control scheme.
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Citations

Lara-Cisneros, G., Femat, R., & Dochain, D. (2017). Robust sliding mode-based extremum-seeking controller for reaction systems via uncertainty estimation approach. International Journal of Robust and Nonlinear Control, 27, 3218-3235. https://doi.org/10.1002/rnc.3736 (Original work published 2017)