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Adaptive inverse multilayer fuzzy control for uncertain nonlinear system optimizing with differential evolution algorithm

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Abstract

This paper introduces a novel adaptive inverse multilayer T-S fuzzy controller (AIMFC) optimally identified with an optimization soft computing algorithm available for a class of robust control applied in uncertain nonlinear SISO systems. The parameters of multilayer T-S fuzzy model are optimally identified by the differential evolution (DE) algorithm to create offline the inverse nonlinear plant with uncertain coefficients. Then, the adaptive fuzzy-based sliding mode surface is applied to ensure that the closed-loop system is asymptotically stable in which the stability is satisfied using Lyapunov stability concept. The control quality of the proposed AIMFC algorithm is compared with the three recent advanced control algorithms applied in the Spring-Mass-Damper (SMD) benchmark system. Simulation and experiment results with different control parameters show that the proposed algorithm is better than the inverse fuzzy controller and the conventional adaptive fuzzy controller comparatively applied in both SMD system and the coupled-liquid tank system with the performance index using the least mean squares (LMS) error, which is investigated to demonstrate the efficiency and the robustness of the proposed AIMFC control approach.

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Acknowledgements

This paper is funded by Vietnam National University of Ho Chi Minh City (VNU-HCM) under grant number B2020-20-04. We acknowledge the support of time and facilities from Ho Chi Minh City University of Technology (HCMUT), VNU-HCM for this study.

Funding

This study was funded by Vietnam National University of Ho Chi Minh City (VNU-HCM) under grant number B2020-20-04.

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Authors and Affiliations

  1. Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Viet Nam

    Cao Van Kien & Nguyen Ngoc Son

  2. Faculty of Electrical and Electronics Engineering (FEEE), Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Viet Nam

    Ho Pham Huy Anh

  3. Vietnam National University Ho Chi Minh City (VNU-HCM), Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Viet Nam

    Ho Pham Huy Anh

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  1. Cao Van Kien
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  2. Ho Pham Huy Anh
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Correspondence to Ho Pham Huy Anh.

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Corresponding author Ho Pham Huy Anh is supported by Vietnam National University of Ho Chi Minh City (VNU-HCM) under grant number B2020-20-04.

There is no conflict of interest from authors related to this manuscript.

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Van Kien, C., Anh, H.P.H. & Son, N.N. Adaptive inverse multilayer fuzzy control for uncertain nonlinear system optimizing with differential evolution algorithm. Appl Intell 51, 527–548 (2021). https://doi.org/10.1007/s10489-020-01819-9

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