International Journal of Control, Automation, and Systems 2024; 22(7): 2293-2300
https://doi.org/10.1007/s12555-023-0555-8
© The International Journal of Control, Automation, and Systems
This study presents a LookAhead-RAdam gradient iterative algorithm to identify ExpARX models with random missing outputs. The LookAhead-RAdam gradient iterative algorithm is used to optimize the step size of each element and adjust the direction to effectively update the ExpARX model parameter estimation through the estimated outputs. Compared to the classical gradient iterative algorithm, this study improves the estimation accuracy of the missing outputs and the parameter estimation convergence rate by introducing the LookAhead algorithm and RAdam algorithm. To validate the algorithm developed, a series of bench tests were conducted with computational experiments. Finally, the effectiveness of the proposed design approach is demonstrated by a simulation example.
Keywords LookAhead-RAdam-GI algorithm, nonlinear time-series model, parameter estimation.
International Journal of Control, Automation, and Systems 2024; 22(7): 2293-2300
Published online July 1, 2024 https://doi.org/10.1007/s12555-023-0555-8
Copyright © The International Journal of Control, Automation, and Systems.
Chuanjiang Li, Wei Dai, Ya Gu*, and Yanfei Zhu
Shanghai Normal University
This study presents a LookAhead-RAdam gradient iterative algorithm to identify ExpARX models with random missing outputs. The LookAhead-RAdam gradient iterative algorithm is used to optimize the step size of each element and adjust the direction to effectively update the ExpARX model parameter estimation through the estimated outputs. Compared to the classical gradient iterative algorithm, this study improves the estimation accuracy of the missing outputs and the parameter estimation convergence rate by introducing the LookAhead algorithm and RAdam algorithm. To validate the algorithm developed, a series of bench tests were conducted with computational experiments. Finally, the effectiveness of the proposed design approach is demonstrated by a simulation example.
Keywords: LookAhead-RAdam-GI algorithm, nonlinear time-series model, parameter estimation.
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