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Adaptive consensus control for output-constrained nonlinear multi-agent systems with actuator faults. (English) Zbl 1491.93113

Summary: This paper addresses the problem of leader-follower consensus fault-tolerant control for a class of nonlinear multi-agent systems with output constraints. Specifically, a new nonlinear state transformation function is proposed to deal with the asymmetric constraint on output. Moreover, by integrating backstepping and radial basis function neural network approaches, an adaptive consensus control framework is developed with a single parameter estimator, which mitigates the computation of control algorithm in comparison with conventional adaptive approximation based control techniques. Then an adaptive compensation method is proposed to eliminate the effect of actuator failure. Under the proposed control scheme, all the closed-loop signals of the systems are bounded and the consensus tracking error converges to an adjustable small neighborhood of zero. To evaluate the developed control algorithm, a group of four networked two-stage chemical reactors is used to illustrate the effectiveness of the theoretic results obtained.

MSC:

93D50 Consensus
93C40 Adaptive control/observation systems
93A16 Multi-agent systems
93C10 Nonlinear systems in control theory
Full Text: DOI

References:

[1] Li, Z.; Yan, J.; Yu, W.; Qiu, J., Adaptive event-triggered control for unknown second-order nonlinear multiagent systems, IEEE Trans. Cybern., 51, 12, 6131-6140 (2021)
[2] Zhao, J.; Shen, S.; Xie, F.; Sun, Y.; Xu, F., Robust containment control for a class of heterogeneous uncertain nonlinear multi-agent systems in lower triangular form, J. Control Decis., 8, 3, 269-279 (2021)
[3] Wu, Y.; Pan, Y.; Chen, M.; Li, H., Quantized adaptive finite-time bipartite NN tracking control for stochastic multiagent systems, IEEE Trans. Cybern., 51, 6, 2870-2881 (2021)
[4] Miao, H.; Zhihua, H.; Lang, W., Optimal consensus control for heterogeneous nonlinear non-affine multi-agent systems with uncertain control directions, ICIC Express Lett. Int. J. Res. Surv., 16, 2, 177-185 (2022)
[5] Qin, J.; Ma, Q.; Shi, Y.; Wang, L., Recent advances in consensus of multi-agent systems: a brief survey, IEEE Trans. Ind. Electron., 64, 6, 4972-4983 (2017)
[6] Shi, P.; Yan, B., A survey on intelligent control for multiagent systems, IEEE Trans. Syst. Man Cybern. Syst., 51, 1, 161-175 (2021)
[7] Chen, X.; Shi, M.; Zhou, J.; Zuo, W.; Chen, Y.; Wen, J.; He, H., Consensus-based distributed control for photovoltaic-battery units in a DC microgrid, IEEE Trans. Ind. Electron., 66, 10, 7778-7787 (2019)
[8] Ren, W.; Beard, R. W., Distributed Consensus in Multi-Vehicle Cooperative Control (2008), Springer · Zbl 1144.93002
[9] Watanuki, R.; Horiuchi, T.; Aodai, T., Vision-based behavior acquisition by deep reinforcement learning in multi-robot environment, ICIC Express Lett. Part B Appl. Int. J. Res. Surv., 11, 3, 237-244 (2020)
[10] Espina, E.; Cárdenas-Dobson, R.; Simpson-Porco, J. W.; Sáez, D.; Kazerani, M., A consensus-based secondary control strategy for hybrid AC/DC microgrids with experimental validation, IEEE Trans. Power Electron., 36, 5, 5971-5984 (2021)
[11] Shrestha, P.; Joshi, B., Multi-agent based heterogeneous power management system, Int. J. Innov. Comput. Inf. Control, 17, 1, 245-257 (2021)
[12] Deng, C.; Che, W.; Shi, P., Cooperative fault-tolerant output regulation for multiagent systems by distributed learning control approach, IEEE Trans. Neural Netw. Learn. Syst., 31, 11, 4831-4841 (2020)
[13] Ye, D.; Chen, M.; Yang, H., Distributed adaptive event-triggered fault-tolerant consensus of multiagent systems with general linear dynamics, IEEE Trans. Cybern., 49, 3, 757-767 (2019)
[14] Yan, B.; Wu, C.; Shi, P., Formation consensus for discrete-time heterogeneous multi-agent systems with link failures and actuator/sensor faults, J. Franklin Inst., 356, 12, 6547-6570 (2019) · Zbl 1416.93012
[15] Jin, X.; Wang, S.; Qin, J.; Zheng, W. X.; Kang, Y., Adaptive fault-tolerant consensus for a class of uncertain nonlinear second-order multi-agent systems with circuit implementation, IEEE Trans. Circuits Syst. I Regul. Pap., 65, 7, 2243-2255 (2018) · Zbl 1468.93096
[16] Li, X.; Wang, J., Active fault-tolerant consensus control of Lipschitz nonlinear multiagent systems, Int. J. Robust Nonlinear Control, 30, 13, 5233-5252 (2020) · Zbl 1466.93152
[17] Tee, K. P.; Ge, S. S.; Tay, E. H., Barrier Lyapunov functions for the control of output-constrained nonlinear systems, Automatica, 45, 4, 918-927 (2009) · Zbl 1162.93346
[18] Zhao, K.; Song, Y., Removing the feasibility conditions imposed on tracking control designs for state-constrained strict-feedback systems, IEEE Trans. Automat. Control, 64, 3, 1265-1272 (2019) · Zbl 1482.93260
[19] Shen, D.; Xu, J., Distributed learning consensus for heterogenous high-order nonlinear multi-agent systems with output constraints, Automatica, 97, 64-72 (2018) · Zbl 1406.93031
[20] Zhang, Y.; Liang, H.; Ma, H.; Zhou, Q.; Yu, Z., Distributed adaptive consensus tracking control for nonlinear multi-agent systems with state constraints, Appl. Math. Comput., 326, 16-32 (2018) · Zbl 1426.93168
[21] Ni, J.; Shi, P., Adaptive neural network fixed-time leader-follower consensus for multiagent systems with constraints and disturbances, IEEE Trans. Cybern., 51, 4, 1835-1848 (2021)
[22] Liu, Y.; Tong, S., Barrier lyapunov functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints, Automatica, 64, 70-75 (2016) · Zbl 1329.93088
[23] Krstic, M.; Kokotovic, P. V.; Kanellakopoulos, I., Nonlinear and adaptive control design (1995), John Wiley & Sons, Inc.
[24] Zhao, K.; Song, Y.; Chen, C. P.; Chen, L., Control of nonlinear systems under dynamic constraints: a unified barrier function-based approach, Automatica, 119, 109102 (2020) · Zbl 1451.93082
[25] Huang, J.; Wang, W.; Wen, C.; Zhou, J.; Li, G., Distributed adaptive leader-follower and leaderless consensus control of a class of strict-feedback nonlinear systems: a unified approach, Automatica, 118, 109021 (2020) · Zbl 1447.93322
[26] Zhao, K.; Song, Y.; Meng, W.; Chen, C. P.; Chen, L., Low-cost approximation-based adaptive tracking control of output-constrained nonlinear systems, IEEE Trans. Neural Netw. Learn. Syst., 32, 11, 4890-4900 (2021)
[27] Zhang, G.; Qin, J.; Zheng, W. X.; Kang, Y., Fault-tolerant coordination control for second-order multi-agent systems with partial actuator effectiveness, Inf. Sci., 423, 115-127 (2018) · Zbl 1447.93011
[28] Sun, Y.; Shi, P.; Lim, C. C., Event-triggered adaptive leaderless consensus control for nonlinear multi-agent systems with unknown backlash-like hysteresis, Int. J. Robust Nonlinear Control, 31, 15, 7409-7424 (2021) · Zbl 1527.93290
[29] Yoo, S. J., Connectivity-preserving consensus tracking of uncertain nonlinear strict-feedback multiagent systems: an error transformation approach, IEEE Trans. Neural Netw. Learn. Syst., 29, 9, 4542-4548 (2018)
[30] Xiao, W.; Cao, L.; Dong, G.; Bai, W.; Zhou, Q., Adaptive consensus control for stochastic nonlinear multiagent systems with full state constraints, Int. J. Robust Nonlinear Control, 30, 4, 1487-1511 (2020) · Zbl 1465.93207
[31] Li, H.; Xia, S.; Mu, R.; Zhang, X., On designing a distributed event-triggered output feedback consensus protocol for nonlinear multiagent systems, Int. J. Robust Nonlinear Control, 31, 15, 7173-7185 (2021) · Zbl 1527.93284
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