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A sliding mode control for wave energy converters in presence of unknown noise and nonlinearities

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  • Zou, Shangyan
  • Song, Jiajun
  • Abdelkhalik, Ossama

Abstract

A relatively simple, optimal, and robust nonlinear Sliding Mode Control (SMC) is developed in this paper for a novel nonlinear Wave Energy Converter (WEC). Giving that deriving an optimal control for a complex system is very cumbersome or nearly impossible, an SMC (purely switching only) is thus implemented with the sliding surface defined in an optimal sense. Despite it is simple, the optimality of this control is proved by using a new equivalent control analysis mathematically and also demonstrated numerically. In addition, the robustness of the control is shown mathematically with Lyapunov analysis and by simulations with uncertainties. The main contributions of this paper are: (1) a novel Sliding Mode Control is developed which is simple, optimal, and robust;(2) the robustness and optimality of the proposed control are both proved mathematically and verified numerically; (3) a weakly nonlinear model is developed for a nonlinear WEC which is utilized to validate the performance of the proposed nonlinear control. The numerical simulations are then conducted on a weakly nonlinear model developed for the nonlinear WEC. The results show the robustness and optimality of the proposed control (compared with a nonlinear damping control) subject to uncertainties and nonlinearities.

Suggested Citation

  • Zou, Shangyan & Song, Jiajun & Abdelkhalik, Ossama, 2023. "A sliding mode control for wave energy converters in presence of unknown noise and nonlinearities," Renewable Energy, Elsevier, vol. 202(C), pages 432-441.
    • Handle: RePEc:eee:renene:v:202:y:2023:i:c:p:432-441
    DOI: 10.1016/j.renene.2022.11.078
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    References listed on IDEAS

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    1. Windt, Christian & Davidson, Josh & Ringwood, John V., 2018. "High-fidelity numerical modelling of ocean wave energy systems: A review of computational fluid dynamics-based numerical wave tanks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 93(C), pages 610-630.
    2. Wahyudie, A. & Jama, M.A. & Saeed, O. & Noura, H. & Assi, A. & Harib, K., 2015. "Robust and low computational cost controller for improving captured power in heaving wave energy converters," Renewable Energy, Elsevier, vol. 82(C), pages 114-124.
    3. Li, Guang & Weiss, George & Mueller, Markus & Townley, Stuart & Belmont, Mike R., 2012. "Wave energy converter control by wave prediction and dynamic programming," Renewable Energy, Elsevier, vol. 48(C), pages 392-403.
    4. Zou, Shangyan & Abdelkhalik, Ossama & Robinett, Rush & Bacelli, Giorgio & Wilson, David, 2017. "Optimal control of wave energy converters," Renewable Energy, Elsevier, vol. 103(C), pages 217-225.
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