Abstract
This study addresses the problem of cooperative control design for a group of car-like vehicles encountering fading channels, actuator faults, and external disturbances. It is presumed that certain followers lack direct access to the states of the leader via a directed graph. This arises challenges in maintaining synchronization and coordination within the network. The proposed control strategy utilizes non-singular fast terminal sliding mode control to accelerate consensus tracking and enhance the convergence of the overall system. This controller is designed to mitigate the impact of actuator faults in the presence of fading channels in the communication network. The effects of such issues on team performance are rigorously analyzed. Based on the Lyapunov stability principle, it has been demonstrated that the controller is capable of providing satisfactory performance for the entire system despite these challenges. Moreover, vehicle synchronization can be effectively maintained. Numerical simulations are conducted to verify the theoretical findings.
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References
Hadi, B., Khosravi, A., Sarhadi, P.: A review of the path planning and formation control for multiple autonomous underwater vehicles. Journal of Intelligent & Robotic Systems 101, 1–26 (2021). https://doi.org/10.1007/s10846-021-01330-4
Kamel, M.A., Yu, X., Zhang, Y.: Formation control and coordination of multiple unmanned ground vehicles in normal and faulty situations: A review. Annu. Rev. Control. 49, 128–144 (2020). https://doi.org/10.1016/j.arcontrol.2020.02.001
Yu, H., Chen, X., Chen, T., Hao, F.: Event-triggered bipartite consensus for mul-tiagent systems: A zeno-free analysis. IEEE Trans. Autom. Control 65(11), 4866–4873 (2019). https://doi.org/10.1109/TAC.2019.2962092
Wei, L., Chen, W.-H., Luo, S., Huang, G.: Impulsive average-consensus of multi-agent systems with time-delays. J. Franklin Inst. 359(2), 1544–1568 (2022). https://doi.org/10.1016/j.jfranklin.2021.11.030
Zhang, Z., Chen, S., Zheng, Y.: Leader-following scaled consensus of second-order multi-agent systems under directed topologies. Int. J. Syst. Sci. 50(14), 2604–2615 (2019). https://doi.org/10.1080/00207721.2019.1672115
Lu, M., Wu, J., Zhan, X., Han, T., Yan, H.: Consensus of second-order heterogeneous multi-agent systems with and without input saturation. ISA Trans. 126, 14–20 (2022). https://doi.org/10.1016/j.isatra.2021.08.001
Wu, Z.-G., Xu, Y., Lu, R., Wu, Y., Huang, T.: Event-triggered control for consensus of multiagent systems with fixed/switching topologies. IEEE Transactions on Systems, Man, and Cybernetics: Systems 48(10), 1736–1746 (2017). https://doi.org/10.1109/TSMC.2017.2744671
Ren, Y., Wang, Q., Duan, Z.: Optimal distributed leader-following consensus of linear multi-agent systems: A dynamic average consensus-based approach. IEEE Trans. Circuits Syst. II Express Briefs 69(3), 1208–1212 (2021). https://doi.org/10.1109/TCSII.2021.3094056
Wang, G., Wang, C., Cai, X., Ji, Y.: Distributed leaderless and leader-following consensus control of multiple Euler-Lagrange systems with unknown control directions. Journal of Intelligent & Robotic Systems 89, 439–463 (2018). https://doi.org/10.1007/s10846-017-0554-1
Yaghoubi, Z., Talebi, H.A.: Cluster consensus for nonlinear multi-agent systems. Journal of Intelligent & Robotic Systems 100(3–4), 1069–1084 (2020). https://doi.org/10.1007/s10846-020-01218-9
Cai, J., Wen, C., Su, H., Liu, Z.: Robust adaptive failure compensation of hysteretic actuators for a class of uncertain nonlinear systems. IEEE Trans. Autom. Control 58(9), 2388–2394 (2013). https://doi.org/10.1109/TAC.2013.2251795
Wang, F., Zhang, Y., Zhang, L., Zhang, J., Huang, Y.: Finite-time consensus of stochastic nonlinear multi-agent systems. Int. J. Fuzzy Syst. 22, 77–88 (2020). https://doi.org/10.1007/s40815-019-00769-w
Yu, Z., Zhang, W.: Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control. Nonlinear Dyn. 111(4), 3469–3478 (2023). https://doi.org/10.1007/s11071-022-07999-y
Niu, X., Liu, Y., Man, Y.: Finite-time consensus tracking for multi-agent systems with inherent uncertainties and disturbances. Int. J. Control 92(6), 1415–1425 (2019). https://doi.org/10.1080/00207179.2017.1397289
Ren, H., Peng, Y., Deng, F., Zhang, C.: Impulsive pinning control algorithm of stochastic multi-agent systems with unbounded distributed delays. Nonlinear Dyn. 92, 1453–1467 (2018). https://doi.org/10.1007/s11071-018-4138-9
Wu, X., Huang, Y.: Adaptive fractional-order non-singular terminal sliding mode control based on fuzzy wavelet neural networks for omnidirectional mobile robot manipulator. ISA Trans. 121, 258–267 (2022). https://doi.org/10.1016/j.isatra.2021.03.035
Zhang, Y., Yang, X., Wei, P., Liu, P.X.: Fractional-order adaptive non-singular fast terminal sliding mode control with time delay estimation for robotic manipulators. IET Control Theory & Applications 14(17), 2556–2565 (2020). https://doi.org/10.1049/iet-cta.2019.1302
Zhang, X., Quan, Y.: Fractional non-singular fast terminal sliding mode control based on disturbance observer. Internaltional Journal of Innovative Computing, Information and Control 18(1), 93–104 (2022). https://doi.org/10.24507/ijicic.18.01.93
Jin, X.-Z., Zhao, Z., He, Y.-G.: Insensitive leader-following consensus for a class of uncertain multi-agent systems against actuator faults. Neurocomputing 272, 189–196 (2018). https://doi.org/10.1016/j.neucom.2017.06.072
Kamel, M.A., Ghamry, K.A., Zhang, Y.: Real-time fault-tolerant cooperative control of multiple UAVs-UGVs in the presence of actuator faults. Journal of Intelligent & Robotic Systems 88, 469–480 (2017). https://doi.org/10.1007/s10846-016-0463-8
Yu, Z., Qu, Y., Zhang, Y.: Fault-tolerant containment control of multiple unmanned aerial vehicles based on distributed sliding-mode observer. Journal of Intelligent & Robotic Systems 93, 163–177 (2019). https://doi.org/10.1007/s10846-018-0862-0
Kheirandish, M., Yazdi, E.A., Mohammadi, H., Mohammadi, M.: A fault-tolerant sensor fusion in mobile robots using multiple model Kalman filters. Robot. Auton. Syst. 161, 104343 (2023). https://doi.org/10.1016/j.robot.2022.104343
Naseri, K., Vu, M.T., Mobayen, S., Najafi, A., Fekih, A.: Design of linear matrix inequality-based adaptive barrier global sliding mode fault tolerant control for uncertain systems with faulty actuators. Mathematics 10(13), 2159 (2022). https://doi.org/10.3390/math10132159
Ju, Y., Tian, X., Liu, H., Ma, L.: Fault detection of networked dynamical systems: A survey of trends and techniques. Int. J. Syst. Sci. 52(16), 3390–3409 (2021). https://doi.org/10.1080/00207721.2021.1998722
Yu, Z., Zhang, Y., Jiang, B., Yu, X.: Fault-tolerant time-varying elliptical formation control of multiple fixed-wing UAVs for cooperative forest fire monitoring. Journal of Intelligent & Robotic Systems 101, 1–15 (2021). https://doi.org/10.1007/s10846-021-01320-6
Xu, Y., Sun, J., Wu, Z.-G., Wang, G.: Fully distributed adaptive event-triggered control of networked systems with actuator bias faults. IEEE Transactions on Cybernetics 52(10), 10773–10784 (2021). https://doi.org/10.1109/TCYB.2021.3059049
Xu, L.-X., Wang, Y.-L., Wang, X., Peng, C.: Decentralized event-triggered adaptive control for interconnected nonlinear systems with actuator failures. IEEE Trans. Fuzzy Syst. 31(1), 148–159 (2022). https://doi.org/10.1109/TFUZZ.2022.3183798
Qu, G., Shen, D., Yu, X.: Batch-based learning consensus of multiagent systems with faded neighborhood information. IEEE Transactions on Neural Networks and Learning Systems (2021). https://doi.org/10.1109/TNNLS.2021.3110684
Hu, B.: Stochastic stability analysis for vehicular networked systems with state-dependent bursty fading channels: A self-triggered approach. Automatica 123, 109352 (2021). https://doi.org/10.1016/j.automatica.2020.109352
Shen, D., Qu, G.: Performance enhancement of learning tracking systems over fading channels with multiplicative and additive randomness. IEEE Transactions on Neural Networks and Learning Systems 31(4), 1196–1210 (2019). https://doi.org/10.1109/TNNLS.2019.2919510
Shen, D., Yu, X.: Learning tracking over unknown fading channels based on iterative estimation. IEEE Transactions on Neural Networks and Learning Systems 33(1), 48–60 (2020). https://doi.org/10.1109/TNNLS.2020.3027475
Qu, G., Shen, D.: Stochastic iterative learning control with faded signals. IEEE/CAA Journal of Automatica Sinica 6(5), 1196–1208 (2019). https://doi.org/10.1109/JAS.2019.1911696
Bu, X., Yu, W., Yu, Q., Hou, Z., Yang, J.: Event-triggered model-free adaptive iterative learning control for a class of nonlinear systems over fading channels. IEEE Transactions on Cybernetics 52(9), 9597–9608 (2021). https://doi.org/10.1109/TCYB.2021.3058997
Cao, W., Yan, J., Yang, X., Luo, X., Guan, X.: Communication-aware formation control of AUVs with model uncertainty and fading channel via integral reinforcement learning. IEEE/CAA Journal of Automatica Sinica 10(1), 159–176 (2023). https://doi.org/10.1109/JAS.2023.123021
Wang, X., Zhou, Y., Huang, T., Chakrabarti, P.: Event-triggered adaptive fault tolerant control for a class of nonlinear multiagent systems with sensor and actuator faults. IEEE Trans. Circuits Syst. I Regul. Pap. 69(10), 4203–4214 (2022). https://doi.org/10.1109/TCSI.2022.3192046
Li, Y., Dong, S., Li, K., Tong, S.: Fuzzy adaptive fault tolerant time-varying formation control for nonholonomic multirobot systems with range constraints. IEEE Transactions on Intelligent Vehicles 8(6), 3668–3679 (2023). https://doi.org/10.1109/TIV.2023.3264800
Abci, B., El Badaoui El Najjar, M., Cocquempot, V., Dherbomez, G.: An informational approach for sensor and actuator fault diagnosis for autonomous mobile robots. Journal of Intelligent & Robotic Systems 99, 387–406 (2020). https://doi.org/10.1007/s10846-019-01099-7
Lü, H., He, W., Han, Q.-L., Ge, X., Peng, C.: Finite-time containment control for nonlinear multi-agent systems with external disturbances. Inf. Sci. 512, 338–351 (2020). https://doi.org/10.1016/j.ins.2019.05.049
Guo, X.-G., Tan, D.-C., Ahn, C.K., Wang, J.-L.: Fully distributed adaptive fault-tolerant sliding-mode control for nonlinear leader-following multiagent systems with ANASs and IQCs. IEEE Transactions on Cybernetics 52(5), 2763–2774 (2020). https://doi.org/10.1109/TCYB.2020.3023747
Gao, Y., Liu, C., Duan, D., Zhang, S.: Distributed optimal event-triggered cooperative control for nonlinear multi-missile guidance systems with partially unknown dynamics. Int. J. Robust Nonlinear Control 32(15), 8369–8396 (2022). https://doi.org/10.1002/rnc.6285
Ren, C.-E., Chen, C.P.: Sliding mode leader-following consensus controllers for second-order non-linear multi-agent systems. IET Control Theory & Applications 9(10), 1544–1552 (2015). https://doi.org/10.1049/iet-cta.2014.0523
Zhang, H., Lewis, F.L.: Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics. Automatica 48(7), 1432–1439 (2012). https://doi.org/10.1016/j.automatica.2012.05.008
Khoo, S., Xie, L., Man, Z.: Robust finite-time consensus tracking algorithm for multi-robot systems. IEEE/ASME Trans. Mechatron. 14(2), 219–228 (2009). https://doi.org/10.1109/TMECH.2009.2014057
Xiao, B., Yin, S., Gao, H.: Reconfigurable tolerant control of uncertain mechanical systems with actuator faults: A sliding mode observer-based approach. IEEE Trans. Control Syst. Technol. 26(4), 1249–1258 (2017). https://doi.org/10.1109/TCST.2017.2707333
Ashraf, M.A., Ijaz, S., Zou, Y., Hamayun, M.T.: An integral sliding mode fault tolerant control for a class of non-linear Lipschitz systems. IET Control Theory & Applications 15(3), 390–403 (2021). https://doi.org/10.1049/cth2.12050
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This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC).
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Mahmoud Hussein: Conceptualization, Methodology, Validation, Writing the original draft. Youmin Zhang: Supervision, Discussion, Resources, Writing, review and editing. Zhaoheng Liu: Supervision, Discussion, Resources, Writing, review and editing.
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Hussein, M., Zhang, Y. & Liu, Z. Adaptive Non-singular Fast Terminal Sliding Mode Control for Car-Like Vehicles with Faded Neighborhood Information and Actuator Faults. J Intell Robot Syst 110, 63 (2024). https://doi.org/10.1007/s10846-024-02088-1
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DOI: https://doi.org/10.1007/s10846-024-02088-1