Error-Driven Iterative Learning Sliding Mode Control for Robust Tracking under Uncertainty
DOI:
https://doi.org/10.30537/4cr1at02Keywords:
Error-Driven Control, Iterative Learning Control, Sliding Mode Control, Analysis of Convergence, Analysis of LyapunovAbstract
One of the most important problems in control engineering is to achieve high -precision tracking of nonlinear systems with uncertain dynamics. Although model-based iterative learning sliding mode control (ILSMC) has good performance, it is restricted to systems with time-varying or unknown dynamics because the method requires that the system can be identified accurately. The paper proposes a strategy of Error-Driven ILSMC, which constructs the control input directly from past tracking error information, thereby reducing its reliance on an accurate system model. It is an iterative learning update law that is combined with a high-gain sliding term and guaranteed to converge using Lyapunov analysis. The controller is evaluated on the Quanser SRV02 motor-driven system under parametric uncertainty, load disturbance, and measurement noise. Monte Carlo simulation over more than iterations and randomized experiments indicates that position RMSE and velocity RMSE are improved by and respectively, compared to the ML-ILSMC. The proposed strategy provides both theoretical assurances and practical implementation advantages, making it a potential solution for robust control in systems where an accurate dynamic model is difficult to obtain.
References
REFERENCES
S. Arimoto, S. Kawamura, and F. Miyazaki, “Bettering operation of robots by learning,” J. Robot. Syst., vol. 1, no. 2, pp. 123–140, 1984.
K. L. Moore, Iterative Learning Control for Deterministic Systems. London, U.K.: Springer, 2012.
J.-X. Xu and Y. Tan, Linear and Nonlinear Iterative Learning Control. Berlin, Germany: Springer, 2003.
Y. Chen and C. Wen, Eds., Iterative Learning Control: Convergence, Robustness and Applications. London, U.K.: Springer, 1999.
M. M. G. Arakani, S. Z. Khong, and B. Bernhardsson, “On the convergence of iterative learning control,” Automatica, vol. 78, pp. 266–273, 2017.
H.-S. Ahn, Y. Chen, and K. L. Moore, “Iterative learning control: Brief survey and categorization,” IEEE Trans. Syst., Man, Cybern. C, Appl. Rev., vol. 37, no. 6, pp. 1099–1121, Nov. 2007.
J.-X. Xu, “A survey on iterative-learning control for nonlinear systems,” Int. J. Control, vol. 84, no. 7, pp. 1275–1294, 2011.
D. H. Owens, S. P. Freeman, and E. Rogers, “A common framework for discrete-Lyapunov design of model reference adaptive iterative learning control algorithms,” IEEE Trans. Control Syst. Technol., vol. 16, no. 5, pp. 996–1008, Sep. 2008.
A. Deutschmann-Olek, G. Stadler, and A. Kugi, “Stochastic iterative learning control for lumped- and distributed-parameter systems: A Wiener-filtering approach,” IEEE Trans. Autom. Control, vol. 66, no. 8, pp. 3856–3862, Aug. 2020.
Y. Wang and T. Hsiao, “Fast-update iterative learning control for performance enhancement with application to motion systems,” IEEE Access, vol. 10, pp. 79458–79468, 2022.
W. N. Hameed and J. O. Khawwaf, “Robust sliding mode control for 2-DoF robot manipulator position control system,” in Proc. IET Conf., 2024, vol. CP906, no. 34.
S. S. Saab et al., “Iterative-learning-control: Practical implementation and automation,” IEEE Trans. Ind. Electron., vol. 69, no. 2, pp. 1858–1866, Feb. 2021.
C. Kumar et al., “Computationally efficient ILCl design for uncertain nonlinear systems applied on SRVO2 motor-driven machine,” J. Indep. Stud. Res. Comput., vol. 23, no. 1, pp. 23–31, 2025.
V. Utkin, J. Guldner, and J. Shi, Sliding Mode Control in Electro-Mechanical Systems, 2nd ed. Boca Raton, FL, USA: CRC Press, 2017.
A. Levant, “Principles of 2-sliding mode design,” Automatica, vol. 43, no. 4, pp. 576–586, Apr. 2007.
A. Tayebi, “Analysis of two particular ILC schemes in frequency and time domains,” Automatica, vol. 43, no. 9, pp. 1565–1572, Sep. 2007.
Y. Zuo, et al., “A review of sliding mode observer-based sensorless control-methods for PMSM drive,” IEEE Trans. Power Electron., vol. 38, no. 9, pp. 11352–11367, Sep. 2023.
A. Levant, “Quasi-continuous high-order SMC,” in Proc. IEEE Conf. Decis. Control, Maui, HI, USA, 2003, vol. 5, pp. 4428–4433.
A. J. N. Anelone, P. Kim, and S. K. Spurgeon, “Sliding mode control theory interprets elite control of HIV,” in Feedback Control for Personalized Medicine. Cambridge, MA, USA: Academic Press, 2022, pp. 151–171.
H. Lee, et al., “Chattering suppression methods in SMC systems,” Annu. Rev. Control, vol. 31, no. 2, pp. 179–188, 2007.
J. A. Moreno and M. Osorio, “Strict Lyapunov functions for the super-twisting algorithm,” IEEE Trans. Autom. Control, vol. 57, no. 4, pp. 1035–1040, Apr. 2012.
F. Memon and C. Shao, “Data-Driven optimal PID type ILC for a class of nonlinear batch process,” Int. J. Syst. Sci., vol. 52, no. 2, pp. 263–276, 2021.
S. Baek et al., “An adaptive model uncertainty estimator using delayed state-based model-free control and its application to robot manipulators,” IEEE/ASME Trans. Mechatronics, vol. 27, no. 6, pp. 4573–4584, Dec. 2022.
N. N, M. Maroufi, and S. O. R. Moheimani, “ILC for high-speed rosette trajectory tracking,” in Proc. IEEE Conf. Decis. Control (CDC), Nice, France, 2019, pp. 7251–7256.
M.-B. Radac, R.-E. Precup, and E. M. Petriu, “Constrained data-driven model-free ILC-based reference input tuning algorithm,” Acta Polytech. Hung., vol. 12, no. 1, pp. 137–160, 2015.
D. K. Molzahn et al., “A survey of distributed optimization and control algorithms for electric power systems,” IEEE Trans. Smart Grid, vol. 8, no. 6, pp. 2941–2962, Nov. 2017.
Z.-S. Hou and Z. Wang, “From model-based control to data-driven control: Survey, classification and perspective,” Inf. Sci., vol. 235, pp. 3–35, Jun. 2013.
M. Norrlof, “An adaptive iterative learning control algorithm with experiments on an industrial robot,” IEEE Trans. Robot. Autom., vol. 18, no. 2, pp. 245–251, Apr. 2002.
C. T. Trung, N. H. Nam, and N. D. Phuoc, “A model-free controller for uncertain robot manipulators with matched disturbances,” Vietnam J. Sci. Technol., vol. 61, no. 1, pp. 166–176, 2023.
T. D. Son et al., “Robust monotonic convergent iterative-learning control,” IEEE Trans. Autom. Control, vol. 61, no. 4, pp. 1063–1068, Apr. 2015.
D. M and J. Z, “Design & analysis of data-driven learning control: An optimization-based approach,” IEEE-Trans. Neural Netw. Learn. Syst., vol. 33, no. 10, pp. 5527 to 5541, 10-2021.
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