Neural network backstepping control of OWC wave energy system

Abstract This paper investigates the application of Neural Network Backstepping Control (NN-BSC) for enhancing the rotational speed control of Oscillating Water Column (OWC) wave energy systems. Traditional control methods face limitations when dealing with nonlinearities, irregular wave conditions,...

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Main Authors: Priyanka Nath, Sunil Kumar Mishra, Amitkumar Vidyakant Jha, Bhargav Appasani, Akshaya Kumar Pati, Vijay Kumar Verma, Philibert Nsengiyumva, Avireni Srinivasulu
Format: Article
Language:English
Published: Nature Portfolio 2025-03-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87725-x
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author Priyanka Nath
Sunil Kumar Mishra
Amitkumar Vidyakant Jha
Bhargav Appasani
Akshaya Kumar Pati
Vijay Kumar Verma
Philibert Nsengiyumva
Avireni Srinivasulu
author_facet Priyanka Nath
Sunil Kumar Mishra
Amitkumar Vidyakant Jha
Bhargav Appasani
Akshaya Kumar Pati
Vijay Kumar Verma
Philibert Nsengiyumva
Avireni Srinivasulu
author_sort Priyanka Nath
collection DOAJ
description Abstract This paper investigates the application of Neural Network Backstepping Control (NN-BSC) for enhancing the rotational speed control of Oscillating Water Column (OWC) wave energy systems. Traditional control methods face limitations when dealing with nonlinearities, irregular wave conditions, and actuator disturbances. To address these challenges, this research paper introduces a Chebyshev NN within the BSC framework, leveraging its high approximation accuracy and computational efficiency. The design of the NN-BSC involves estimating the disturbance term using the Chebyshev NN and validating the stability OWC control system through Lyapunov analysis. The proposed NN-BSC law effectively handles nonlinearities and improves system robustness under dynamic conditions. Numerical simulations have been conducted using MATLAB/SIMULINK to compare the performance of the uncontrolled OWC system, conventional PI and BSC, and NN-BSC, under scenarios with and without actuator disturbances. The parameters for PI, BSC, and NN-BSC are optimized using a Particle Swarm Optimization (PSO) algorithm, which minimizes a fitness function defined by the Integral Squared Error (ISE). Results indicate that NN-BSC achieves smoother rotor speed tracking, particularly under actuator disturbances, where the conventional PI and BSC exhibits significant performance degradation in terms of ISE. Under actuator disturbance scenarios: (1) NN-BSC achieved the lowest ISE value of 22.5433, outperforming PI (40.6381) and BSC (37.1192), and (2) NN-BSC demonstrated the lowest maximum peak overshoot (0.9651 rad/s) and fastest settling time (0.0561 s).
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spelling doaj-art-b776eab613a54629982f29f11f83ff882025-08-20T02:59:27ZengNature PortfolioScientific Reports2045-23222025-03-0115113610.1038/s41598-025-87725-xNeural network backstepping control of OWC wave energy systemPriyanka Nath0Sunil Kumar Mishra1Amitkumar Vidyakant Jha2Bhargav Appasani3Akshaya Kumar Pati4Vijay Kumar Verma5Philibert Nsengiyumva6Avireni Srinivasulu7School of Electronics Engineering, Kalinga Institute of Industrial TechnologySchool of Electronics Engineering, Kalinga Institute of Industrial TechnologySchool of Electronics Engineering, Kalinga Institute of Industrial TechnologySchool of Electronics Engineering, Kalinga Institute of Industrial TechnologySchool of Electronics Engineering, Kalinga Institute of Industrial TechnologyU R Rao Satellite Centre, Indian Space Research Organisation (ISRO)Department of Electrical and Electronics Engineering, College of Science & Technology, University of RwandaSchool of Engineering and Technology, Mohan Babu University (Erstwhile Sree Vidyanikethan Engineering College)Abstract This paper investigates the application of Neural Network Backstepping Control (NN-BSC) for enhancing the rotational speed control of Oscillating Water Column (OWC) wave energy systems. Traditional control methods face limitations when dealing with nonlinearities, irregular wave conditions, and actuator disturbances. To address these challenges, this research paper introduces a Chebyshev NN within the BSC framework, leveraging its high approximation accuracy and computational efficiency. The design of the NN-BSC involves estimating the disturbance term using the Chebyshev NN and validating the stability OWC control system through Lyapunov analysis. The proposed NN-BSC law effectively handles nonlinearities and improves system robustness under dynamic conditions. Numerical simulations have been conducted using MATLAB/SIMULINK to compare the performance of the uncontrolled OWC system, conventional PI and BSC, and NN-BSC, under scenarios with and without actuator disturbances. The parameters for PI, BSC, and NN-BSC are optimized using a Particle Swarm Optimization (PSO) algorithm, which minimizes a fitness function defined by the Integral Squared Error (ISE). Results indicate that NN-BSC achieves smoother rotor speed tracking, particularly under actuator disturbances, where the conventional PI and BSC exhibits significant performance degradation in terms of ISE. Under actuator disturbance scenarios: (1) NN-BSC achieved the lowest ISE value of 22.5433, outperforming PI (40.6381) and BSC (37.1192), and (2) NN-BSC demonstrated the lowest maximum peak overshoot (0.9651 rad/s) and fastest settling time (0.0561 s).https://doi.org/10.1038/s41598-025-87725-xBackstepping controlLyapunov stability analysisNeural network backstepping controlOcean wave energyOscillating water columnRotor speed control
spellingShingle Priyanka Nath
Sunil Kumar Mishra
Amitkumar Vidyakant Jha
Bhargav Appasani
Akshaya Kumar Pati
Vijay Kumar Verma
Philibert Nsengiyumva
Avireni Srinivasulu
Neural network backstepping control of OWC wave energy system
Scientific Reports
Backstepping control
Lyapunov stability analysis
Neural network backstepping control
Ocean wave energy
Oscillating water column
Rotor speed control
title Neural network backstepping control of OWC wave energy system
title_full Neural network backstepping control of OWC wave energy system
title_fullStr Neural network backstepping control of OWC wave energy system
title_full_unstemmed Neural network backstepping control of OWC wave energy system
title_short Neural network backstepping control of OWC wave energy system
title_sort neural network backstepping control of owc wave energy system
topic Backstepping control
Lyapunov stability analysis
Neural network backstepping control
Ocean wave energy
Oscillating water column
Rotor speed control
url https://doi.org/10.1038/s41598-025-87725-x
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AT sunilkumarmishra neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT amitkumarvidyakantjha neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT bhargavappasani neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT akshayakumarpati neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT vijaykumarverma neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT philibertnsengiyumva neuralnetworkbacksteppingcontrolofowcwaveenergysystem
AT avirenisrinivasulu neuralnetworkbacksteppingcontrolofowcwaveenergysystem