Abstract
This paper proffered an adaptive fixed-time sliding-mode control law to ensure that the cart-pendulum robot suffered by the actuator attacks of false-data injection moves along the reference trajectory. The neural network skill is availed to approach the nonlinear state-dependent actuator attack, and then a class of linear filter operators is used to collect the reckon deviation informations of the anonymous attack parameters, and an adaptive update law that can accurately identify the attack parameters within a fixed time is designed. Then a fixed-time control law is developed relying on adaptive integral sliding mode technology, which can adaptively offset the affect of actuator attack and accomplish the objective of tracking the reference trajectory. Using the Lyapunov stability theorem, it is verified the trajectory tracing error of the system merge to the residual set near zero in a fixed-time. Finally, the reliability of the devised control law is verified through the simulation case of the transporting mechanical arm.
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References
Deng, C., Wen, C., Wang, W., et al.: Distributed adaptive tracking control for high-order nonlinear multiagent systems over event-triggered communication. IEEE Trans. Autom. Control 68(2), 1176–1183 (2022)
Krauss, R.: A novel cart/pendulum system for teaching dynamic systems and feedback control. In: 2022 ASEE Annual Conference & Exposition (2022)
Al Morshed, M.A., Hayder, M., Maruf, T.R.: Electromechanical system design for self-balancing robot. arXiv e-prints (2023)
Qin, W., Chen, S., Peng, M.: Recent advances in Industrial Internet: insights and challenges. Digit. Commun. Netw. 6(1), 1–13 (2020)
Ma, Y.S., Che, W.W., Deng, C., et al.: Distributed model-free adaptive control for learning nonlinear MASs under DoS attacks. IEEE Trans. Neural Netw. Learn. Syst. 34(3), 1146–1155 (2021)
Wu, D., Lu, Q.: Secure control of networked inverted pendulum visual servo systems based on active disturbance rejection control. Actuators 11(12), 355 (2022)
Jin, X., Lü, S., Yu, J.: Adaptive NN-based consensus for a class of nonlinear multiagent systems with actuator faults and faulty networks. IEEE Trans. Neural Netw. Learn. Syst. 33(8), 3474–3486 (2021)
Xu, L.: Parameter estimation for nonlinear functions related to system responses. Int. J. Control Autom. Syst. 21(6), 1780–1792 (2023)
Jin, X., Lü, S., Yu, J., Qin, J., Zheng, W.X., Liu, Q.: Adaptive ELM-based security control for a class of nonlinear interconnected systems with DoS attacks. IEEE Trans. Cybern. 53(8), 5000–5012 (2023)
Ping, Z., Zhou, M., Liu, C., et al.: An improved neural network tracking control strategy for linear motor-driven inverted pendulum on a cart and experimental study. Neural Comput. Appl. 1–8 (2022)
Fan, B., Zhang, Y., Chen, Y., et al.: Intelligent vehicle lateral control based on radial basis function neural network sliding mode controller. CAAI Trans. Intell. Technol. 7(3), 455–468 (2022)
Zhao, Z.-Y., Jin, X.-Z., Wu, X.-M., Wang, H., Jing, C.: Neural network-based fixed-time sliding mode control for a class of nonlinear Euler-Lagrange systems. Appl. Math. Comput. 415, 126718 (2022)
Liu, J., Jin, X., Deng, C., et al.: Adaptive sliding-mode path-following control of cart-pendulum robots with false data injection attacks. Actuators. 12(1), 24 (2023)
Mondal, R., Dey, J.: A novel design methodology on cascaded fractional order (FO) PI-PD control and its real time implementation to Cart-Inverted Pendulum System. ISA Trans. 130, 565–581 (2022)
Li, Y., Zhang, H., Xie, X., et al.: Stability analysis of a cart-pendulum model with variable convergence rate: a sliding mode control approach for impulsive stochastic systems. Chaos, Solitons Fractals 175, 114044 (2023)
Jin, X., Zhao, Z., Wu, X., Chi, J., Deng, C.: Adaptive NN-based finite-time trajectory tracking control of wheeled robotic systems. Neural Comput. Appl. 34, 5119–5133 (2022)
Gao, M., Ding, L., Jin, X.: ELM-based adaptive faster fixed-time control of robotic manipulator systems. IEEE Trans. Neural Netw. Learn. Syst. 34(8), 4646–4658 (2023)
Sakai, S., Osuka, K., Fukushima, H., et al.: Watermelon harvesting experiment of a heavy material handling agricultural robot with LQ control. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 1, pp. 769–774. IEEE (2002)
Gu, N., Wang, D., Peng, Z., et al.: Adaptive bounded neural network control for coordinated path-following of networked underactuated autonomous surface vehicles under time-varying state-dependent cyber-attack. ISA Trans. 104, 212–221 (2020)
Liu, Y., Li, H., Lu, R., et al.: An overview of finite/fixed-time control and its application in engineering systems. IEEE/CAA J. Automatica Sinica 9(12), 2106–2120 (2022)
Acknowledgments
This work was supported in part by the National Natural Science Foundation of China under Grant 62173193; in part by the Taishan Scholars Program under Grant tsqn202211208; in part by the Science Education Industry Integration and Innovation Project under Grant 2023PYI001. Jiadong Liu and Zhiye Zhao contributed equally to this work and should be considered co-first authors.
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Liu, J., Zhao, Z., Jin, X. (2024). Adaptive Fixed-Time Sliding-Mode Trajectory Tracking Control of a Cart-Pendulum Robot Against Actuator Attacks. In: Huang, DS., Zhang, X., Zhang, C. (eds) Advanced Intelligent Computing Technology and Applications. ICIC 2024. Lecture Notes in Computer Science(), vol 14879. Springer, Singapore. https://doi.org/10.1007/978-981-97-5675-9_11
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DOI: https://doi.org/10.1007/978-981-97-5675-9_11
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