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.
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Essounbouli, N., Hamzaoui, A., Manamanni, N. (2003). Fuzzy Supervisor for Combining Sliding Mode Control and H∞ Control. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_56
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DOI: https://doi.org/10.1007/3-540-44967-1_56
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