Adaptive Neural Network-Based Feedforward-Feedback Controller for Nonlinear Dynamic System

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Abstract:

This study investigates the deployment of adaptive neural network-based control strategies for nonlinear dynamic systems, emphasizing the integration of Echo State Networks (ESNs) into a feedforward-feedback control architecture. Traditional controllers relying on precise mathematical modeling often fail to cope with the complexity of systems exhibiting high nonlinearity, time-varying parameters, and external disturbances. The proposed ESN-based approach harnesses reservoir computing to construct a lightweight, data-driven model capable of accurately capturing system dynamics in real time. The feedforward module provides anticipatory control actions, while the feedback loop compensates for deviations, enabling rapid convergence and robustness against parametric drift. Comparative analysis with conventional PID and LQR controllers reveals superior performance in terms of tracking accuracy, stability, and noise resilience. Preliminary simulations predict reduced steady-state error and improved dynamic response even under uncertain operating conditions. This architecture presents a scalable and efficient alternative for advanced applications in robotics, aerospace, and industrial process control. The findings affirm the viability of ESNs in redefining adaptive control paradigms by combining interpretability, computational efficiency, and real-world adaptability. Reference to this paper should be made as follows:MCE 2025, MCE825. (2025) ‘Adaptive neural network-based feedforward-feedback controller for nonlinear dynamic systems.

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[1] K. J. Åström and T. Hägglund, Advanced PID Control. Research Triangle Park, NC, USA: ISA, 2006.

Google Scholar

[2] H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ, USA: Prentice Hall, 2002.

Google Scholar

[3] K. S. Narendra and K. Parthasarathy, "Identification and control of dynamical systems using neural networks," IEEE Trans. Neural Netw., vol. 1, no. 1, p.4–27, Mar. 1990.

DOI: 10.1109/72.80202

Google Scholar

[4] F. L. Lewis, S. Jagannathan, and A. Yesildirak, Neural Network Control of Robot Manipulators and Nonlinear Systems. Boca Raton, FL, USA: CRC Press, 1998.

Google Scholar

[5] P. A. Ioannou and J. Sun, Robust Adaptive Control. New York, NY, USA: Dover, 2012.

Google Scholar

[6] S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Robustness. Upper Saddle River, NJ, USA: Prentice Hall, 1989.

Google Scholar

[7] R. M. Sanner and J.-J. E. Slotine, "Gaussian networks for direct adaptive control," IEEE Trans. Neural Netw., vol. 3, no. 6, p.837–863, Nov. 1992.

DOI: 10.1109/72.165588

Google Scholar

[8] W. He, S. S. Ge, and Z. Li, "Adaptive neural control of a robotic manipulator with input deadzone and output constraint," IEEE Trans. Syst., Man, Cybern., Syst., vol. 44, no. 6, p.703–714, June. 2014.

DOI: 10.1109/tsmc.2015.2466194

Google Scholar

[9] W. He and Z. Li, Adaptive Neural Network Control of Robotic Manipulators. Singapore: Springer, 2017.

Google Scholar

[10] Y. Zhang, W. He, and C. Sun, "Adaptive neural network control for uncertain nonlinear systems with full state constraints," Neurocomputing, vol. 398, p.136–144, Aug. 2020.

Google Scholar

[11] K. S. Narendra and S. Mukhopadhyay, "Intelligent control using neural networks," J. Intell. Syst., vol. 7, no. 1, p.1–30, 1997.

Google Scholar

[12] S. Jagannathan and F. L. Lewis, "Direct adaptive control of MIMO dynamic nonlinear systems using neural networks," IEEE Trans. Neural Netw., vol. 7, no. 5, p.1081–1094, Sep. 1996.

Google Scholar

[13] A. Hernandez, C. Zhang, and D. Wang, "Neural network-based adaptive sliding mode control of robotic manipulators with joint flexibility," Robot. Comput.-Integr. Manuf., vol. 59, p.333–342, Jun. 2019.

Google Scholar

[14] P. Ouyang, Y. Zhang, and W. Chen, "Neural adaptive output feedback control of helicopter systems with input dead-zone and output constraint," ISA Trans., vol. 67, p.205–214, Mar. 2017.

Google Scholar

[15] G. Tao, Adaptive Control Design and Analysis. Hoboken, NJ, USA: Wiley, 2003.

Google Scholar

[16] M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. Hoboken, NJ, USA: Wiley, 1995.

Google Scholar

[17] C. Rudin, "Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead," Nature Mach. Intell., vol. 1, no. 5, p.206–215, May 2019.

DOI: 10.1038/s42256-019-0048-x

Google Scholar

[18] J.-J. E. Slotine and W. Li, Applied Nonlinear Control. Upper Saddle River, NJ, USA: Prentice Hall, 1991.

Google Scholar

[19] H. Zhang, D. Liu, and D. Wang, "Adaptive dynamic programming for control: Algorithms and stability," IEEE Trans. Syst., Man, Cybern., B, vol. 42, no. 2, p.523–529, Apr. 2012.

Google Scholar

[20] A. D'Souza, S. Vijayakumar, and S. Schaal, "Learning inverse kinematics," in Proc. IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), 2001, p.298–303.

Google Scholar

[21] B. Siciliano, L. Sciavicco, L. Villani, and G. Oriolo, Robotics: Modelling, Planning and Control. London, U.K.: Springer, 2009.

Google Scholar

[22] H. Jaeger, "Tutorial on training recurrent neural networks, covering BPPT, RTRL, EKF and the 'echo state network' approach," GMD-Forschungszentrum Informationstechnik, Tech. Rep. 159, 2002.

Google Scholar

[23] M. Lukosevicius and H. Jaeger, "Reservoir computing approaches to recurrent neural network training," Comput. Sci. Rev., vol. 3, no. 3, p.127–149, Aug. 2009.

Google Scholar