Autors: Hinov, N. L., Kabakchieva, R. V., Gotseva, D. A., Stanchev, P. A. Title: Mathematically Grounded Neuro-Fuzzy Control of IoT-Enabled Irrigation Systems Keywords: Adaptive Neuro-Fuzzy Inference Systems (ANFIS), Artificial Neural Networks (ANN), evapotranspiration estimation, fuzzy logic control, Input-to-State Stability (ISS), IoT-based irrigation, Mamdani fuzzAbstract: This paper develops a mathematically grounded neuro-fuzzy control framework for IoT-enabled irrigation systems in precision agriculture. A discrete-time, physically motivated model of soil moisture is formulated to capture the nonlinear water dynamics driven by evapotranspiration, irrigation, and drainage in the crop root zone. A Mamdani-type fuzzy controller is designed to approximate the optimal irrigation strategy, and an equivalent Takagi–Sugeno (TS) representation is derived, enabling a rigorous stability analysis based on Input-to-State Stability (ISS) theory and Linear Matrix Inequalities (LMIs). Online parameter estimation is performed using a Recursive Least Squares (RLS) algorithm applied to real IoT field data collected from a drip-irrigated orchard. To enhance prediction accuracy and long-term adaptability, the fuzzy controller is augmented with lightweight artificial neural network (ANN) modules for evapotranspiration estimation and slow adaptation of membership-function parameters. This work provides one of the first mathematically certified neuro-fuzzy irrigation controllers integrating ANN-based estimation with Input-to-State Stability (ISS) and LMI-based stability guarantees. Under mild Lipschitz continuity and boundedness assumptions, the resulting neuro-fuzzy closed-loop system is proven to be uniformly ultimately bounded. Experimental validation in an operational IoT setup demonstrates accurate soil-moisture regulation, with a tracking error below 2%, and approximately 28% reduction in water consumption compared to fixed-schedule irrigation. The proposed framework is validated on a real IoT deployment and positioned relative to existing intelligent irrigation approaches. References - García L. Parra L. Jimenez J.M. Lloret J. Lorenz P. IoT-Based Smart Irrigation Systems: An Overview on the Recent Trends on Sensors and IoT Systems for Irrigation in Precision Agriculture Sensors 2020 20 1042 10.3390/s20041042
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| Mathematics, vol. 14, 2026, Albania, https://doi.org/10.3390/math14020314 |
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