Abstract
This study compares three different recurrent neural network topologies in order to assess their estimated capabilities. The three neural networks under detailed examination are the Elman recurrent neural network (ERNN), the diagonal recurrent neural network (DRNN), and the Jordan recurrent neural network (JRNN). A dynamical backpropagation algorithm is applied for develo** and updating the parameters linked to each of these neural nets. The comparative analysis is performed by considering one nonlinear dynamical system with varying degrees of complexity.
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References
Grino R, Cembrano G, Torras C (2000) Nonlinear system identification using additive dynamic neural networks-two on-line approaches. IEEE Trans Circuits Syst I: Fundam Theory Appl 47(2):150–165
Li C, Yan H (2018)Identification of nonlinear time-delay system using multi-dimensional taylor network model. In: 2018 IEEE international conference on manipulation, manufacturing and measurement on the nanoscale (3M-NANO), Hangzhou, China, pp 87–90
Kumar R (2022) A Lyapunov-stability-based context-layered recurrent pi-sigma neural network for the identification of nonlinear systems. Appl Soft Comput 122:108836. ISSN 1568-4946
Nidhil Wilfred KJ, Sreeraj S, Vijay B, Bagyaveereswaran V (2015) System identification using artificial neural network. In: 2015 international conference on circuits, power and computing technologies [ICCPCT-2015], pp 1–4
Gautam P (2016) System identification of nonlinear Inverted Pendulum using artificial neural network. In: 2016 international conference on recent advances and innovations in engineering (ICRAIE), Jaipur, India, pp 1–5
Kumar R, Srivastava S, Gupta JRP et al (2019) Comparative study of neural networks for dynamic nonlinear systems identification. Soft Comput 23:101–114
Ren X, Fei S (2000) Recurrent neural networks for identification of nonlinear systems. In: Proceedings of the 39th IEEE conference on decision and control (Cat. No. 00CH37187), vol 3, pp 2861–2866. IEEE
Kumar R, Srivastava S, Gupta JRP (2018) Comparative study of neural networks for control of nonlinear dynamical systems with Lyapunov stability-based adaptive learning rates. Arab J Sci Eng 43:2971–2993
Şen GD, Günel GÖ, Güzelkaya M (2020) Extended Kalman filter based modified Elman-Jordan neural network for control and identification of nonlinear systems. In: 2020 innovations in intelligent systems and applications conference (ASYU), Istanbul, Turkey, pp 1–6
Liu H, Song X (2015) Nonlinear system identification based on NARX network. In: 2015 10th Asian control conference (ASCC), Kota Kinabalu, Malaysia, pp 1–6
Ku C-C, Lee KY (1992) Nonlinear system identification using diagonal recurrent neural networks. In: [Proceedings 1992] IJCNN international joint conference on neural networks, Baltimore, MD, USA, vol 3, pp 839–844
Pandey K, Bhanacharjee S, Lau S, Tushir M (2018)A comparative study of fuzzy systems and neural networks for system modeling and identification. In: 2018 2nd IEEE international conference on power electronics, intelligent control and energy systems (ICPEICES), pp 876–880
Efe MO, Kaynak O (1999) A comparative study of neural network structures in identification of nonlinear systems. Mechatronics 9(3):287–300
Samir L, Said G, Nora K, Youcef S (2017)Improved Pi-Sigma neural network for nonlinear system identification. In: 2017 5th international conference on electrical engineering—Boumerdes (ICEE-B), pp 1–5
Kumpati SN, Kannan P (1990) Identification and control of dynamical systems using neural networks. IEEE Trans Neural Netw 1(1):4–27
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Saini, K., Kumar, N., Kumar, R., Bhushan, B. (2024). Recurrent Neural Network for the Identification of Nonlinear Dynamical Systems: A Comparative Study. In: Kumar, A., Singh, S.N., Kumar, P. (eds) Decarbonisation and Digitization of the Energy System. SGESC 2023. Lecture Notes in Electrical Engineering, vol 1099. Springer, Singapore. https://doi.org/10.1007/978-981-99-7630-0_26
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