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Hybrid derivative functions for identification of unknown loads and physical parameters with application on slider-crank mechanism

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Abstract
Mechatronic systems are plagued by nonlinearities and contain uncertainties amongst others due to interactions with their environment. Having models of these systems that have accurate multistep predictive capabilities can be of value for control and decision making purposes. This paper proposes hybrid derivative functions that closely combine expert knowledge of the system, captured by ordinary differential equations, with data-driven feedforward neural networks. Euler's method is used to apprehend the system's multistep dynamics. The proposed formalism is dedicated to identifying unknown loads that are dependent on the state of the system together with the identification of physical parameter values. We apply the methodology on a slider-crank mechanism where synthetic data is used to investigate the feasibility and accuracy of the proposed approaches. Multiple numerical tests show that the network structure of the hybrid derivative function enables convergence and we show the ability to simultaneously uncover physical parameter values and explain unknown phenomena related to the unknown state dependent load. The latter suggest the possibility of discovering unknown loads without additional measurements. Further research should investigate the robustness of the presented approach.
Keywords
crankcases, decision making, differential equations, feedforward neural nets, mechatronics, neurocontrollers, predictive control, hybrid derivative function, unknown loads, physical parameters, slider-crank mechanism, mechatronic systems, decision making purposes, ordinary differential equations, data-driven feedforward neural networks, physical parameter values, unknown state dependent load, multistep predictive capabilities, Euler's method, system multistep dynamics, Mathematical model, Load modeling, Neural networks, Mechatronics, Data models, Torque, Force

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MLA
De Groote, Wannes, et al. “Hybrid Derivative Functions for Identification of Unknown Loads and Physical Parameters with Application on Slider-Crank Mechanism.” 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 2019, pp. 1049–54, doi:10.1109/aim.2019.8868376.
APA
De Groote, W., Kikken, E., Goyal, S., Van Hoecke, S., Hostens, E., & Crevecoeur, G. (2019). Hybrid derivative functions for identification of unknown loads and physical parameters with application on slider-crank mechanism. 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 1049–1054. https://doi.org/10.1109/aim.2019.8868376
Chicago author-date
De Groote, Wannes, Edward Kikken, Srajan Goyal, Sofie Van Hoecke, Erik Hostens, and Guillaume Crevecoeur. 2019. “Hybrid Derivative Functions for Identification of Unknown Loads and Physical Parameters with Application on Slider-Crank Mechanism.” In 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 1049–54. https://doi.org/10.1109/aim.2019.8868376.
Chicago author-date (all authors)
De Groote, Wannes, Edward Kikken, Srajan Goyal, Sofie Van Hoecke, Erik Hostens, and Guillaume Crevecoeur. 2019. “Hybrid Derivative Functions for Identification of Unknown Loads and Physical Parameters with Application on Slider-Crank Mechanism.” In 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 1049–1054. doi:10.1109/aim.2019.8868376.
Vancouver
1.
De Groote W, Kikken E, Goyal S, Van Hoecke S, Hostens E, Crevecoeur G. Hybrid derivative functions for identification of unknown loads and physical parameters with application on slider-crank mechanism. In: 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM). 2019. p. 1049–54.
IEEE
[1]
W. De Groote, E. Kikken, S. Goyal, S. Van Hoecke, E. Hostens, and G. Crevecoeur, “Hybrid derivative functions for identification of unknown loads and physical parameters with application on slider-crank mechanism,” in 2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), Hong Kong, HONG KONG, 2019, pp. 1049–1054.
@inproceedings{8633953,
  abstract     = {{Mechatronic systems are plagued by nonlinearities and contain uncertainties amongst others due to interactions with their environment. Having models of these systems that have accurate multistep predictive capabilities can be of value for control and decision making purposes. This paper proposes hybrid derivative functions that closely combine expert knowledge of the system, captured by ordinary differential equations, with data-driven feedforward neural networks. Euler's method is used to apprehend the system's multistep dynamics. The proposed formalism is dedicated to identifying unknown loads that are dependent on the state of the system together with the identification of physical parameter values. We apply the methodology on a slider-crank mechanism where synthetic data is used to investigate the feasibility and accuracy of the proposed approaches. Multiple numerical tests show that the network structure of the hybrid derivative function enables convergence and we show the ability to simultaneously uncover physical parameter values and explain unknown phenomena related to the unknown state dependent load. The latter suggest the possibility of discovering unknown loads without additional measurements. Further research should investigate the robustness of the presented approach.}},
  author       = {{De Groote, Wannes and Kikken, Edward and Goyal, Srajan and Van Hoecke, Sofie and Hostens, Erik and Crevecoeur, Guillaume}},
  booktitle    = {{2019 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM)}},
  isbn         = {{9781728124933}},
  issn         = {{2159-6255}},
  keywords     = {{crankcases,decision making,differential equations,feedforward neural nets,mechatronics,neurocontrollers,predictive control,hybrid derivative function,unknown loads,physical parameters,slider-crank mechanism,mechatronic systems,decision making purposes,ordinary differential equations,data-driven feedforward neural networks,physical parameter values,unknown state dependent load,multistep predictive capabilities,Euler's method,system multistep dynamics,Mathematical model,Load modeling,Neural networks,Mechatronics,Data models,Torque,Force}},
  language     = {{eng}},
  location     = {{Hong Kong, HONG KONG}},
  pages        = {{1049--1054}},
  title        = {{Hybrid derivative functions for identification of unknown loads and physical parameters with application on slider-crank mechanism}},
  url          = {{http://doi.org/10.1109/aim.2019.8868376}},
  year         = {{2019}},
}

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