Predefined-Time Fault-Tolerant Consensus Tracking Control for Multiple Flexible Robotic Manipulator Systems with Prescribed Performance
Received: 28 Aug 2025 | Revised: 12 Nov 2025 | Accepted: 18 Nov 2025 | Published: 26 Nov 2025
multiple flexible robotic manipulator systems | predefined-time | prescribed performance | fault-tolerant
Qiao, H.; Wu, Y.X.; Zhong, S.L.; et al. Brain-inspired intelligent robotics: Theoretical analysis and systematic application. Mach. Intell. Res. 2023, 20, 1–18.
Liu, Y.; Chen, Z.; Gao, J.; et al. High performance assembly of complex structural parts in special environments–research on space manipulator assisted module docking method. Robot. Intell. Autom. 2023, 43, 122–131.
Bhat, S.P.; Bernstein, D.S. Finite-time stability of continuous autonomous systems. SIAM J. Control. Optim. 2000, 38, 751–766.
Feng, Y.; Kong, L.; Zhang, Z.; et al. Event-triggered finite-time control for a constrained robotic manipulator with flexible joints. Int. J. Robust Nonlinear Control. 2023, 33, 6031–6051.
Zhou, B.; Yang, L.; Wang, C.; et al. Adaptive finite-time tracking control of robot manipulators with multiple uncertainties based on a low-cost neural approximator. J. Frankl. Inst. 2022, 359, 4938–4958.
Wang, X.; Niu, B.; Zhao, X.; et al. Command-filtered adaptive fuzzy finite-time tracking control algorithm for flexible robotic manipulator: A singularity-free approach. IEEE Trans. Fuzzy Syst. 2023, 32, 409–419.
Gao, J.; Tan, Z.; Li, L.; et al. A novel finite-time non-singular robust control for robotic manipulators. Chaos Solitons Fractals 2025, 194, 116266.
Zheng, S.; Zha, Y.; Ahn, C.K.; et al. Constrained Finite-Time Output Regulation for Robot Manipulators With Control Input Delay. IEEE/ASME Trans. Mechatron. 2025, 30, 1–13.
Hu, J.; Zhang, X.; Zhang, D.; et al. Finite-time adaptive super-twisting sliding mode control for autonomous robotic manipulators with actuator faults. ISA Trans. 2024, 144, 342–351.
Chu, Y.; Han, X.; Rakkiyappan, R. Finite-time lag synchronization for two-layer complex networks with impulsive effects. Math. Model. Control. 2024, 4, 71–85.
Polyakov, A. Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans. Autom. Control. 2011, 57, 2106–2110.
Ahmed, S.; Azar, A.T. Adaptive fractional tracking control of robotic manipulator using fixed-time method. Complex Intell. Syst. 2024, 10, 369–382.
Zhang, D.; Hu, J.; Cheng, J.; et al. A novel disturbance observer based fixed-time sliding mode control for robotic manipulators with global fast convergence. IEEE/CAA J. Autom. Sin. 2024, 11, 661–672.
Zhao, B.; Yao, X.; Zheng, W.X. Fixed-time composite anti-disturbance control for flexible-link manipulators based on disturbance observer. IEEE Trans. Circuits Syst. I Regul. Pap. 2024, 71, 3390–3400.
Lai, G.; Zou, S.; Xiao, H.; et al. Fixed-time adaptive fuzzy control with prescribed tracking performances for flexible-joint manipulators. J. Frankl. Inst. 2024, 361, 106809.
Yu, J.; Wu, M.; Ji, J.; et al. Neural network-based region tracking control for a flexible-joint robot manipulator. J. Comput. Nonlinear Dyn. 2024, 19, 021003.
S´anchez-Torres, J.D.; G´omez-Guti´errez, D.; L´opez, E.; et al. A class of predefined-time stable dynamical systems. IMA J. Math. Control. Inf. 2018, 35, i1–i29.
Jiang, H.; Yang, Y.; Hua, C.; et al. Predefined-Time Composite Fuzzy Adaptive Control for Flexible-Joint Manipulator System With High-Order Fully Actuated Control Approach. IEEE Trans. Ind. Electron. 2025, 72, 7191–7199.
Sai, H.; Xu, Z.; Zhang, E. Adaptive practical predefined-time neural tracking control for multi-joint uncertain robotic manipulators with input saturation. Neural Comput. Appl. 2023, 35, 20423–20440.
Fan, Y.; Zhan, H.; Li, Y.; et al. A Predefined Time Constrained Adaptive Fuzzy Control Method With Singularity-Free Switching for Uncertain Robots. IEEE Trans. Fuzzy Syst. 2024, 32, 2650–2662.
Wang, J.; Zhao, W.; Cao, J.; et al. Reinforcement Learning-Based Predefined-Time Tracking Control for Nonlinear Systems Under Identifier–Critic–Actor Structure. IEEE Trans. Cybern. 2024, 54, 6345–6357.
Shen, H.; Zhao, W.; Cao, J.; et al. Predefined-Time Event-Triggered Tracking Control for Nonlinear Servo Systems: A Fuzzy Weight-Based Reinforcement Learning Scheme. IEEE Trans. Fuzzy Syst. 2024, 32, 4557–4569.
Wang, Y.; Wang, X.; Chen, S.; et al. Multi-Station Multi-Robot Welding System Planning and Scheduling Based on STNSGA-D: An Industrial Case Study. IEEE Trans. Autom. Sci. Eng. 2024, 21, 7465–7479.
Zhou, X.;Wang, H.; Tian, Y. Robust adaptive flexible prescribed performance tracking and vibration control for rigid–flexible coupled robotic systems with input quantization. Nonlinear Dyn. 2024, 112, 1951–1969.
Ma, H.; Zhou, Q.; Li, H.; et al. Adaptive prescribed performance control of a flexible-joint robotic manipulator with dynamic uncertainties. IEEE Trans. Cybern. 2021, 52, 12905–12915.
Sun, P.; Li, S.; Zhu, B.; et al. Vision-based finite-time prescribed performance control for uncooperative UAV target-tracking subject to field of view constraints. ISA Trans. 2024, 149, 168–177.
Liu, Z.; Zhao, Y.; Zhang, O.; et al. Adaptive fuzzy neural network-based finite time prescribed performance control for uncertain robotic systems with actuator saturation. Nonlinear Dyn. 2024, 112, 12171–12190.
Yang, P.; Su, Y.; Zhang, L. Proximate fixed-time fault-tolerant tracking control for robot manipulators with prescribed performance. Automatica 2023, 157, 111262.
Liu, C.; Zhao, K.; Li, J.; et al. Fuzzy adaptive predefined time control with global prescribed performance for robotic manipulator under unknown disturbance. IEEE Trans. Syst. Man Cybern. Syst. 2025, 55, 3397–3410.
Zhu, B.; Zhang, L.; Niu, B.; et al. Adaptive reinforcement learning for fault-tolerant optimal consensus control of nonlinear canonical multiagent systems with actuator loss of effectiveness. IEEE Syst. J. 2024, 18, 1681–1692.
Ji, N.; Liu, J. Consensus control and vibration suppression for multiple flexible nonlinear Timoshenko manipulators under undirected communication topology. Commun. Nonlinear Sci. Numer. Simul. 2024, 138, 108200.
Zhang, Q.; Zhang, Q.; Liu, J. Adaptive consensus tracking control for robotic manipulators with nonlinear time-varying fault-tolerant actuator and unknown control input directions. Int. J. Adapt. Control. Signal Process. 2024, 38, 1114–1134.
Wang, C.; Zhan, H.; Guo, Q.; et al. Distributed neural fixed-time consensus control of uncertain multiple Euler-Lagrange systems with event-triggered mechanism. IEEE/ASME Trans. Mechatron. 2024, 30, 1830–1841.
Zhao, W.; Li, X.; Liu, Y.; et al. Adaptive Fault Tolerant Consensus Tracking Control for Flexible Manipulators MASs With Input Quantization and Time-Varying Delay. IEEE Trans. Cybern. 2025, 55, 2597–2607.
Stojanovi´c, V. Fault-tolerant control of a hydraulic servo actuator via adaptive dynamic programming. Math. Model. Control. 2023, 3, 181–191.
Guo, X.; Wang, C.; Dong, Z.; et al. Adaptive containment control for heterogeneous MIMO nonlinear multiagent systems with unknown direction actuator faults. IEEE Trans. Autom. Control. 2022, 68, 5783–5790.
Ren, H.; Ma, H.; Li, H.; et al. Adaptive fixed-time control of nonlinear MASs with actuator faults. IEEE/CAA J. Autom. Sin. 2023, 10, 1252–1262.
Zheng, X.; Li, H.; Ahn, C.K.; et al. NN-based fixed-time attitude tracking control for multiple unmanned aerial vehicles with nonlinear faults. IEEE Trans. Aerosp. Electron. Syst. 2022, 59, 1738–1748.
Liang, H.; Chen, L.; Pan, Y.; et al. Fuzzy-based robust precision consensus tracking for uncertain networked systems with cooperative–antagonistic interactions. IEEE Trans. Fuzzy Syst. 2022, 31, 1362–1376.
Yu, J.; Shi, P.; Dong, W.; et al. Observer and command-filter-based adaptive fuzzy output feedback control of uncertain nonlinear systems. IEEE Trans. Ind. Electron. 2015, 62, 5962–5970.
Wang, C.; Lin, Y. Decentralized adaptive tracking control for a class of interconnected nonlinear time-varying systems. Automatica 2015, 54, 16–24.
Yu,W.; Ren,W.; Zheng,W.X.; et al. Distributed control gains design for consensus in multi-agent systems with second-order nonlinear dynamics. Automatica 2013, 49, 2107–2115.
Zhang, H.; Lewis, F.L.; Qu, Z. Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs. IEEE Trans. Ind. Electron. 2012, 59, 3026–3041.
Farrell, J.A.; Polycarpou, M.; Sharma, M.; et al. Command Filtered Backstepping. IEEE Trans. Autom. Control. 2009, 54, 1391–1395.
He, W.; Huang, H.; Ge, S.S. Adaptive neural network control of a robotic manipulator with time-varying output constraints. IEEE Trans. Cybern. 2017, 47, 3136–3147.
Huang, A.C.; Chen, Y.C. Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties. IEEE Trans. Control. Syst. Technol. 2004, 12, 770–775.

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