Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation

In remote conductivity control for water–fertilizer integration systems, challenges such as long-distance nonlinearities and variable parameters can lead to fertilization inaccuracies, including over-irrigation and uneven distribution, affecting both productivity and environmental sustainability. To...

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Main Authors: Peng Zhang, Zhigang Li, Xue Hu, Lixin Zhang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/9/4993
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author Peng Zhang
Zhigang Li
Xue Hu
Lixin Zhang
author_facet Peng Zhang
Zhigang Li
Xue Hu
Lixin Zhang
author_sort Peng Zhang
collection DOAJ
description In remote conductivity control for water–fertilizer integration systems, challenges such as long-distance nonlinearities and variable parameters can lead to fertilization inaccuracies, including over-irrigation and uneven distribution, affecting both productivity and environmental sustainability. To mitigate these issues, this study proposes a variable-parameter sliding mode control (VSMC) strategy, combined with an adaptive observer based on Recursive Least Squares (RLS) to estimate system inertia and load torque in real time. This allows for dynamic adjustment of the sliding surface parameters, ensuring robust control even under varying operating conditions. Two parameter derivation approaches—analytical modeling and data-driven fitting—are evaluated. Field tests demonstrate that VSMC outperforms the Proportional–Integral (PI) and conventional sliding mode control (SMC) methods in maintaining target electrical conductivity (EC) levels. Specifically, for a target EC of 1.4 mS/cm, VSMC stabilizes the system to within 1.18–1.60 mS/cm in 95 s, with a 14.3% overshoot, well within agronomic tolerance. In regional irrigation trials, VSMC significantly improves fertilizer uniformity, reducing the standard deviation of potassium nitrate distribution from 2.14 (PI) to 0.59. The simulation and experimental results validate the effectiveness and robustness of the proposed method, highlighting its potential to enhance agronomic efficiency and reduce environmental impact.
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spelling doaj-art-ebea72d4cbb246d390ff254f89b57e702025-08-20T01:49:20ZengMDPI AGApplied Sciences2076-34172025-04-01159499310.3390/app15094993Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive EstimationPeng Zhang0Zhigang Li1Xue Hu2Lixin Zhang3College of Mechanical and Electrical Engineering, Shihezi University, Shihezi 832003, ChinaCollege of Mechanical and Electrical Engineering, Shihezi University, Shihezi 832003, ChinaCollege of Mechanical and Electrical Engineering, Shihezi University, Shihezi 832003, ChinaCollege of Mechanical and Electrical Engineering, Shihezi University, Shihezi 832003, ChinaIn remote conductivity control for water–fertilizer integration systems, challenges such as long-distance nonlinearities and variable parameters can lead to fertilization inaccuracies, including over-irrigation and uneven distribution, affecting both productivity and environmental sustainability. To mitigate these issues, this study proposes a variable-parameter sliding mode control (VSMC) strategy, combined with an adaptive observer based on Recursive Least Squares (RLS) to estimate system inertia and load torque in real time. This allows for dynamic adjustment of the sliding surface parameters, ensuring robust control even under varying operating conditions. Two parameter derivation approaches—analytical modeling and data-driven fitting—are evaluated. Field tests demonstrate that VSMC outperforms the Proportional–Integral (PI) and conventional sliding mode control (SMC) methods in maintaining target electrical conductivity (EC) levels. Specifically, for a target EC of 1.4 mS/cm, VSMC stabilizes the system to within 1.18–1.60 mS/cm in 95 s, with a 14.3% overshoot, well within agronomic tolerance. In regional irrigation trials, VSMC significantly improves fertilizer uniformity, reducing the standard deviation of potassium nitrate distribution from 2.14 (PI) to 0.59. The simulation and experimental results validate the effectiveness and robustness of the proposed method, highlighting its potential to enhance agronomic efficiency and reduce environmental impact.https://www.mdpi.com/2076-3417/15/9/4993recursive least squares observerPMSM servo systemsliding mode controlparameter adaptation
spellingShingle Peng Zhang
Zhigang Li
Xue Hu
Lixin Zhang
Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
Applied Sciences
recursive least squares observer
PMSM servo system
sliding mode control
parameter adaptation
title Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
title_full Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
title_fullStr Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
title_full_unstemmed Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
title_short Observer-Based Remote Conductivity Variable-Parameter Sliding Mode Control for Water–Fertilizer Integration Machines Using Recursive Least Squares Adaptive Estimation
title_sort observer based remote conductivity variable parameter sliding mode control for water fertilizer integration machines using recursive least squares adaptive estimation
topic recursive least squares observer
PMSM servo system
sliding mode control
parameter adaptation
url https://www.mdpi.com/2076-3417/15/9/4993
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AT zhigangli observerbasedremoteconductivityvariableparameterslidingmodecontrolforwaterfertilizerintegrationmachinesusingrecursiveleastsquaresadaptiveestimation
AT xuehu observerbasedremoteconductivityvariableparameterslidingmodecontrolforwaterfertilizerintegrationmachinesusingrecursiveleastsquaresadaptiveestimation
AT lixinzhang observerbasedremoteconductivityvariableparameterslidingmodecontrolforwaterfertilizerintegrationmachinesusingrecursiveleastsquaresadaptiveestimation