Fuzzy supervisor for combining sliding mode control and H∞ control

Authors:
Najib Essounbouli;Abdelaziz Hamzaoui;Noureddine Manamanni
Affiliations:
Laboratoire d'Automatique et de Microelectronique, Faculte des Sciences, Reims cedex 2, France;Laboratoire d'Automatique et de Microelectronique, Faculte des Sciences, Reims cedex 2, France;Laboratoire d'Automatique et de Microelectronique, Faculte des Sciences, Reims cedex 2, France
Venue:
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Year:
2003

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Abstract

In this paper a fuzzy supervisor for combining H∞ techniques and sliding mode to control a nonlinear uncertain and disturbed SISO system is presented. The plant is approximated by two adaptive fuzzy systems. The process is controlled by a combination of a sliding mode controller, and an H∞ controller according to a weighting factor calculated by the fuzzy supervisor. The global stability and the robustness of the closed-loop system are guaranteed using the Lyapunov approach. An illustration example is presented to show the efficiency of the proposed method.