A fuzzy adaptive containment control issue is researched for a class of nonlinear p-normal multiagent systems with sensor faults, disturbances and unknown time-varying parameters. Unlike the structural features of existing results, the dynamic of each agent is a power exponential function. The adding-a-power-integrator technique is employed to handle the positive odd-integer powers intrinsic to p-normal dynamics. In order to simplify the calculation steps, a novel compensation controller is proposed to resolve sensor faults by using the Nussbaum gain technology. Based on approximation characteristics of fuzzy logic systems, a nonlinear disturbance observer is designed to estimate unknown composite disturbances consisted of external disturbances and approximation errors. In view of the Lyapunov function method, all closed-loop signals are proved to be bounded. Finally, a simulation example is given to verify the effectiveness of the proposed control protocol.
Santilli, M.; Franceschelli, M.; Gasparri, A. Dynamic resilient containment control in multirobot systems. IEEE Trans. Robot. 2022, 38, 57–70.
Cao, L.; Yuan, H.; Lei, Y.; Sun, X.; Pan, Y. A novel composite observer-based adaptive predefined-time control for robotic manipulators with deception attacks and full-state constraints. IEEE Trans. Consum. Electron. 2026, 72, 391–404.
Ding, T.-F.; Ge, M.-F.; Liu, Z.-W.; Wang, Y.-W.; Karimi, H.R. Discrete-Communication-Based Bipartite Tracking of Networked Robotic Systems via Hierarchical Hybrid Control. IEEE Trans. Circuits Syst. I Regul. Pap. 2020, 67, 1402–1412.
Xiao, W.; Zhou, Q.; Liu, Y.; Li, H.; Lu, R. Distributed reinforcement learning containment control for multiple nonholonomic mobile robots. IEEE Trans. Circuits Syst. I Regul. Pap. 2022, 69, 896–907.
Cao, L.; Cen, Y.; Li, T.; Liang, H.; Pan, Y. Optimal fixed-time control for human-in-the-loop multiagent systems with actuator faults. IEEE Trans. Cybern. 2025, 56, 1773–1784.
Liu, Y.; Chen, X.; Mei, Y.; Wu, Y. Observer-based boundary control for an asymmetric output-constrained flexible robotic manipulator. Sci. China Inf. Sci. 2022, 65, 139203.
Peng, X.-J.; He, Y.; Li, H.; Tian, S. Consensus control and optimization of time-delayed multiagent systems: Analysis on different order-reduction methods. IEEE Trans. Syst. Man Cybern. Syst. 2025, 55, 780–791.
Peng, X.-J.; He, Y.; Liu, Z.; You, L.; Li, H. Time-varying formation H∞ tracking control and optimization for delayed multi-agent systems with exogenous disturbances. IEEE Trans. Autom. Sci. Eng. 2025, 22, 5637–5647.
Cao, Y.; Stuart, D.; Ren, W.; Meng, Z. Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: Algorithms and experiments. IEEE Trans. Control Syst. Technol. 2011, 19, 929–938.
Sang, J.; Ma, D.; Zhou, Y. Group-consensus of hierarchical containment control for linear multi-agent systems. IEEE/CAA J. Autom. Sin. 2023, 10, 1462–1474.
Amini, A.; Asif, A.; Mohammadi, A. Formation-containment control using dynamic event-triggering mechanism for multi-agent systems. IEEE/CAA J. Autom. Sin. 2020, 7, 1235–1248.
Yang, Y.; Lun, S. Distributed adaptive quantized bipartite containment NN control of multi-agent systems. Circuits Syst. Signal Process. 2023, 42, 1457–1476.
Li, L.; Shi, P.; Zhao, Y.; Zhou, D.; Xing, W. Containment control of multi-agent systems with uniform quantization. Circuits Syst. Signal Process. 2019, 38, 3952–3970.
Haghshenas, H.; Badamchizadeh, M.A.; Baradarannia, M. Containment control of heterogeneous linear multi-agent systems. Automatica 2015, 54, 210–216.
Zhang, H.; Zhou, Y.; Liu, Y.; Sun, J. Cooperative bipartite containment control for multiagent systems based on adaptive distributed observer. IEEE Trans. Cybern. 2022, 52, 5432–5440.
Ding, C.; Wei, R. Low-complexity tracking control for p-normal form systems using a novel Nussbaum function. IEEE Trans. Autom. Control 2021, 67, 2640–2647.
Li, Q.; Hua, C.; Li, K.; Meng, R. Dynamic-based event-triggered neural network control for p-normal interconnected time-delay systems with asymmetric constraints. Neurocomputing 2023, 542, 126266.
Feng, S.; Zhai, J. Dynamic event-triggered tracking control for a class of p-normal nonlinear systems. IEEE Trans. Circuits Syst. I Regul. Pap. 2021, 68, 808–817.
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. 2022, 69, 4203–4214.
Liu, C.; Zhao, J.; Jiang, B.; Patton, R.J. Fault-tolerant consensus control of multi-agent systems under actuator/sensor faults and channel noises: A distributed anti-attack strategy. Inf. Sci. 2023, 623, 1–19.
Guo, X.; Wang, C.; Liu, L. Adaptive fault-tolerant control for a class of nonlinear multi-agent systems with multiple unknown time-varying control directions. Automatica 2024, 167, 111802.
Cao, L.; Li, H.; Dong, G.; Lu, R. Event-triggered control for multiagent systems with sensor faults and input saturation. IEEE Trans. Syst. Man Cybern. Syst. 2021, 51, 3855–3866.
Zheng, Y.; Li, Y.-X. Event-triggered output feedback consensus tracking control for nonlinear multiagent systems with sensor failures. Automatica 2023, 148, 110787.
Zhang, Z.; Chen, S.; Zheng, Y. Fully distributed scaled consensus tracking of high-order multiagent systems with time delays and disturbances. IEEE Trans. Ind. Inform. 2022, 18, 305–314.
Wang, X.; Zheng, W.X.; Wang, G. Distributed finite-time optimization of second-order multiagent systems with unknown velocities and disturbances. IEEE Trans. Neural Netw. Learn. Syst. 2023, 34, 6042–6054.
Liu, Y.; Fu, Y.; He, W.; Hui, Q. Modeling and observer-based vibration control of a flexible spacecraft with external disturbances. IEEE Trans. Ind. Electron. 2019, 66, 8648–8658.
Zhang, Y.; Sun, J.; Liang, H.; Li, H. Event-triggered adaptive tracking control for multiagent systems with unknown disturbances. IEEE Trans. Cybern. 2020, 50, 890–901.
Wang, Z.; Yuan, J.; Pan, Y.; Wei, J. Neural network-based adaptive fault tolerant consensus control for a class of high order multiagent systems with input quantization and time-varying parameters. Neurocomputing 2017, 266, 315–324.
Li, Y.-X. Command filter adaptive asymptotic tracking of uncertain nonlinear systems with time-varying parameters and disturbances. IEEE Trans. Autom. Control 2022, 67, 2973–2980.
Wang, X.; Guang, W.; Huang, T.; Kurths, J. Optimized adaptive finite-time consensus control for stochastic nonlinear multiagent systems with non-affine nonlinear faults. IEEE Trans. Autom. Sci. Eng. 2024, 21, 5012–5023.
Yang, D.; Liu, Y.; Ding, F.; Yang, E. Hierarchical gradient-based iterative parameter estimation algorithms for a nonlinear feedback system based on the hierarchical identification principle. Circuits Syst. Signal Process. 2024, 43, 124–151.
Ren, H.; Cheng, Z.; Qin, J.; Lu, R. Deception attacks on event-triggered distributed consensus estimation for nonlinear systems. Automatica 2023, 154, 111100.
Liang, H.; Yang, S.; Li, T.; Zhang, H. Distributed adaptive cooperative control for human-in-the-loop heterogeneous UAV-UGV systems with prescribed performance. IEEE Trans. Intell. Veh. 2024, 9, 6912–6925.
Liu, Y.; An, J.; Cao, L.; Ahn, C.K. Modified quadratic spacing policy and extended state observer-based adaptive platoon tracking scheme for heterogeneous vehicles. IEEE Trans. Intell. Transp. Syst. 2024, 25, 9268–9280.
Liu, Y.-J.; Tong, S. Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems. Automatica 2017, 76, 143–152.
Xie, X.-J.; Duan, N. Output tracking of high-order stochastic nonlinear systems with application to benchmark mechanical system. IEEE Trans. Autom. Control 2010, 55, 1197–1202.
Lei, Y.; Hua, T.; Wang, Y.-W.; Park, J.H. Robust output regulation of singularly perturbed systems by event-triggered output feedback. IEEE Trans. Syst. Man Cybern. Syst. 2024, 54, 2104–2113.
Ling, S.; Wang, H.; Liu, P.X. Adaptive tracking control of high-order nonlinear systems under asymmetric output constraint. Automatica 2020, 122, 109281.
Du, C.; Li, F.; Yang, C.; Shi, Y.; Liao, L.; Gui, W. Multiphase-based optimal slip ratio tracking control of aircraft antiskid braking system via second-order sliding-mode approach. IEEE/ASME Trans. Mechatron. 2022, 27, 823–833.
