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Robust Adaptive Fuzzy Approach with Unknown Control Gain Direction and External Disturbance

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Proceedings of the 4th International Conference on Electrical Engineering and Control Applications (ICEECA 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 682))

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Abstract

This paper studies a fuzzy indirect adaptive approach to control uncertain nonlinear system with unknown control gain sign (direction), in presence of external disturbance. In the design procedure the unknown nonlinear functions are approximated by fuzzy logic system in view of their universal approximation properties. We proposed using projection algorithm to avoid singularity problem and introducing the Nussbaum Function to solve control direction problem. Then a robust adaptive control is employed to build the overall controller architecture and deal with approximation errors and disturbance. Furthermore, stability of the closed-loop system is guaranteed using Lyapunov theory. Finally, simulated studies have demonstrated the effectiveness of the proposed approach.

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Correspondence to Ouassila Bourebia .

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Bourebia, O., Zerari, N. (2021). Robust Adaptive Fuzzy Approach with Unknown Control Gain Direction and External Disturbance. In: Bououden, S., Chadli, M., Ziani, S., Zelinka, I. (eds) Proceedings of the 4th International Conference on Electrical Engineering and Control Applications. ICEECA 2019. Lecture Notes in Electrical Engineering, vol 682. Springer, Singapore. https://doi.org/10.1007/978-981-15-6403-1_32

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