IEEE/CAA Journal of Automatica Sinica
Citation: | Y. Liu, H. G. Zhang, Y. C. Wang, and H. J. Liang, “Adaptive containment control for fractional-order nonlinear multi-agent systems with time-varying parameters,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 9, pp. 1627–1638, Sept. 2022. doi: 10.1109/JAS.2022.105545 |
[1] |
H. Zhang, J. Zhang, Y. Cai, S. Sun, and J. Sun, “Leader-following consensus for a class of nonlinear multiagent systems under eventtriggered and edge-event triggered mechanisms,” IEEE Trans. Cybernetics, pp. 1–12, 2020. DOI: 10.1109/TCYB.2020.3035907
|
[2] |
H. Liang, G. Liu, H. Zhang, and T. Huang, “Neural-networkbased event-triggered adaptive control of nonaffine nonlinear multiagent systems with dynamic uncertainties,” IEEE Trans. Neural Networks and Learning Systems, vol. 32, no. 5, pp. 2239–2250, 2021. doi: 10.1109/TNNLS.2020.3003950
|
[3] |
H. Liang, Y. Zhang, T. Huang, and H. Ma, “Prescribed performance cooperative control for multiagent systems with input quantization,” IEEE Trans. Cybernetics, vol. 50, no. 5, pp. 1810–1819, 2020. doi: 10.1109/TCYB.2019.2893645
|
[4] |
Q. Wei, X. Wang, X. Zhong, and N. Wu, “Consensus control of leader-following multi-agent systems in directed topology with heterogeneous disturbances,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 423–431, 2021. doi: 10.1109/JAS.2021.1003838
|
[5] |
Y. Liu, H. Zhang, Y. Wang, and S. Yu, “Fixed-time cooperative control for robotic manipulators with motion constraints using unified transformation function,” Int. Journal of Robust and Nonlinear Control, vol. 31, no. 14, pp. 6826–6844, 2021. doi: 10.1002/rnc.5658
|
[6] |
H. Zhang, Y. Zhou, Y. Liu, and J. Sun, “Cooperative bipartite containment control for multiagent systems based on adaptive distributed observer,” IEEE Trans. Cybernetics, pp. 1–9, 2020. DOI: 10.1109/TCYB.2020.3031933
|
[7] |
N. Nikdel, M. A. Badamchizadeh, V. Azimirad, and M. A. Nazari, “Fractional-order adaptive backstepping control of robotic manipulators in the presence of model uncertainties and external disturbances,” IEEE Trans. Industrial Electronics, vol. 63, no. 10, pp. 6249–6256, 2016. doi: 10.1109/TIE.2016.2577624
|
[8] |
P. Gong and W. Lan, “Adaptive robust tracking control for uncertain nonlinear fractional-order multi-agent systems with directed topologies,” Automatica, vol. 92, pp. 92–99, 2018. doi: 10.1016/j.automatica.2018.02.010
|
[9] |
P. Gong, W. Lan, and Q.-L. Han, “Robust adaptive fault-tolerant consensus control for uncertain nonlinear fractional-order multi-agent systems with directed topologies,” Automatica, vol. 117, p. 109011, 2020.
|
[10] |
M. Krstić, P. V. Kokotovic, and I. Kanellakopoulos, Nonlinear and Adaptive Control Design. USA: John Wiley & Sons, Inc., 1995.
|
[11] |
H. Zhang, R. Xi, Y. Wang, S. Sun, and J. Sun, “Event-triggered adaptive tracking control for random systems with coexisting parametric uncertainties and severe nonlinearities,” IEEE Trans. Automatic Control, vol. 37, no. 4, pp. 2011–2018, 2022. doi: 10.1109/TAC.2021.3079279
|
[12] |
H. Zhang, Y. Liu, and Y. Wang, “Observer-based finite-time adaptive fuzzy control for nontriangular nonlinear systems with full-state constraints,” IEEE Trans. Cybernetics, vol. 51, no. 3, pp. 1110–1120, 2021. doi: 10.1109/TCYB.2020.2984791
|
[13] |
H. Zhang, Y. Liu, J. Dai, and Y. Wang, “Command filter based adaptive fuzzy finite-time control for a class of uncertain nonlinear systems with hysteresis,” IEEE Trans. Fuzzy Systems, vol. 29, no. 9, pp. 2553–2564, 2021. doi: 10.1109/TFUZZ.2020.3003499
|
[14] |
S. Song, B. Zhang, J. Xia, and Z. Zhang, “Adaptive backstepping hybrid fuzzy sliding mode control for uncertain fractional-order nonlinear systems based on finite-time scheme,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 50, no. 4, pp. 1559–1569, 2020. doi: 10.1109/TSMC.2018.2877042
|
[15] |
X. Xie, D. Yue, J. H. Park, and J. Liu, “Enhanced stabilization of discrete-time Takagi-Sugeno fuzzy systems based on a comprehensive real-time scheduling model,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 52, no. 2, pp. 881–892, 2022. doi: 10.1109/TSMC.2020.3009728
|
[16] |
X. Xie, D. Yue, and C. Peng, “Observer design of discrete-time fuzzy systems based on an alterable weights method,” IEEE Trans. Cybernetics, vol. 50, no. 4, pp. 1430–1439, 2020. doi: 10.1109/TCYB.2018.2878419
|
[17] |
X. Xie, D. Yue, and J. H. Park, “Enhanced switching stabilization of discrete-time Takagi-Sugeno fuzzy systems: Reducing the conservatism and alleviating the on-line computational burden,” IEEE Trans. Fuzzy Systems, vol. 29, no. 8, pp. 2419–2424, 2021. doi: 10.1109/TFUZZ.2020.2986670
|
[18] |
M. Shahvali, A. Azarbahram, M.-B. Naghibi-Sistani, and J. Askari, “Bipartite consensus control for fractional-order nonlinear multi-agent systems: An output constraint approach,” Neurocomputing, vol. 397, pp. 212–223, 2020. doi: 10.1016/j.neucom.2020.02.036
|
[19] |
H. Zhang, C. Liu, H. Su, and K. Zhang, “Echo state network-based decentralized control of continuous-time nonlinear large-scale interconnected systems,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 51, no. 10, pp. 6293–6330, 2021. doi: 10.1109/TSMC.2019.2958484
|
[20] |
H. Zhang, L. Jiang, J. Liu, and F. Qu, “Data recovery of magnetic flux leakage data gaps using multifeature conditional risk,” IEEE Trans. Automation Science and Engineering, vol. 18, no. 3, pp. 1064–1073, 2021. doi: 10.1109/TASE.2020.2994659
|
[21] |
H. Zhang, X. Hu, D. Ma, R. Wang, and X. Xie, “Insufficient data generative model for pipeline network leak detection using generative adversarial networks,” IEEE Trans. Cybernetics, pp. 1–14, 2020. DOI: 10.1109/TCYB.2020.3035518
|
[22] |
Q. Wei, H. Li, and F.-Y. Wang, “Parallel control for continuous-time linear systems: A case study,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 4, pp. 919–928, 2020. doi: 10.1109/JAS.2020.1003216
|
[23] |
Q. Wei, L. Wang, J. Lu, and F.-Y. Wang, “Discrete-time self-learning parallel control,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 52, no. 1, pp. 192–204, 2022. doi: 10.1109/TSMC.2020.2995646
|
[24] |
K. Chen and A. Astolfi, “Adaptive control for systems with time-varying parameters,” IEEE Trans. Automatic Control, vol. 66, no. 5, pp. 1986–2001, 2021. doi: 10.1109/TAC.2020.3046141
|
[25] |
C. Wang and L. Guo, “Adaptive cooperative tracking control for a class of nonlinear time-varying multi-agent systems,” Journal of the Franklin Institute, vol. 354, no. 15, pp. 6766–6782, 2017. doi: 10.1016/j.jfranklin.2017.08.029
|
[26] |
Y.-X. Li, “Command filter adaptive asymptotic tracking of uncertain nonlinear systems with time-varying parameters and disturbances,” IEEE Trans. Automatic Control, vol. 67, no. 6, pp. 2973–2980, 2021. doi: 10.1109/TAC.2021.3089626
|
[27] |
H. Rios, D. Efimov, J. A. Moreno, W. Perruquetti, and J. G. RuedaEscobedo, “Time-varying parameter identification algorithms: Finite and fixed-time convergence,” IEEE Trans. Automatic Control, vol. 62, no. 7, pp. 3671–3678, 2017. doi: 10.1109/TAC.2017.2673413
|
[28] |
Z. Zhang, X.-J. Xie, and S. S. Ge, “Adaptive tracking for uncertain MIMO nonlinear systems with time-varying parameters and bounded disturbance,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 51, no. 7, pp. 4479–4491, 2021. doi: 10.1109/TSMC.2019.2939042
|
[29] |
H. Liu, Y. Pan, and J. Cao, “Composite learning adaptive dynamic surface control of fractional-order nonlinear systems,” IEEE Trans. Cybernetics, vol. 50, no. 6, pp. 2557–2567, 2020. doi: 10.1109/TCYB.2019.2938754
|
[30] |
S. Song, J. H. Park, B. Zhang, X. Song, and Z. Zhang, “Adaptive command filtered neuro-fuzzy control design for fractional-order nonlinear systems with unknown control directions and input quantization,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 51, no. 11, pp. 7238–7249, 2021. doi: 10.1109/TSMC.2020.2967425
|
[31] |
Y. Cao, W. Ren, and M. Egerstedt, “Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks,” Automatica, vol. 48, no. 8, pp. 1586–1597, 2012. doi: 10.1016/j.automatica.2012.05.071
|
[32] |
Y. Liu, H. Zhang, J. Sun, and Y. Wang, “Adaptive fuzzy containment control for multi-agent systems with state constraints using unified transformation functions,” IEEE Trans. Fuzzy Systems, vol. 30, no. 1, pp. 162–174, 2022. doi: 10.1109/TFUZZ.2020.3033376
|
[33] |
S. J. Yoo, “Distributed adaptive containment control of uncertain nonlinear multi-agent systems in strict-feedback form,” Automatica, vol. 49, no. 7, pp. 2145–2153, 2013. doi: 10.1016/j.automatica.2013.03.007
|
[34] |
H. Liang, X. Guo, Y. Pan, and T. Huang, “Event-triggered fuzzy bipartite tracking control for network systems based on distributed reduced-order observers,” IEEE Trans. Fuzzy Systems, vol. 29, no. 6, pp. 1601–1614, 2021. doi: 10.1109/TFUZZ.2020.2982618
|
[35] |
I. Podlubny, Fractional Differential Equations. New York: Academic Press, 1999.
|
[36] |
J. A. Gallegos, M. A. Duarte-Mermoud, N. Aguila-Camacho, and R. Castro-Linares, “On fractional extensions of barbalat lemma,” Systems &Control Letters, vol. 84, pp. 7–12, 2015.
|
[37] |
R. Zhang and Y. Liu, “A new barbalat’s lemma and Lyapunov stability theorem for fractional order systems,” in Proc. 2017 29th Chinese Control and Decision Conf., pp. 3676–3681.
|
[38] |
M. A. Duarte-Mermoud, N. Aguila-Camacho, J. A. Gallegos, and R. Castro-Linares, “Using general quadratic Lyapunov functions to prove lyapunov uniform stability for fractional order systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 22, no. 1, pp. 650–659, 2015.
|
[39] |
M. M. Polycarpou and P. A. Ioannou, “A robust adaptive nonlinear control design,” Automatica, vol. 32, no. 3, pp. 423–427, 1996. doi: 10.1016/0005-1098(95)00147-6
|
[40] |
S. Ha, L. Chen, H. Liu, and S. Zhang, “Command filtered adaptive fuzzy control of fractional-order nonlinear systems,” European Journal of Control, vol. 63, pp. 48–60, 2022.
|
[41] |
X. Yuan, L. Mo, and Y. Yu, “Distributed containment control of fractional-order multi-agent systems using neural networks,” Asian Journal of Control, vol. 24, no. 1, pp. 149–158, 2022. doi: 10.1002/asjc.2423
|
[42] |
D. Xue, Fractional-Order Control Systems: Fundamentals and Numerical Implementations, 2017.
|
[43] |
D. Xue, “FOTF Toolbox,” https://www.mathworks.com/matlabcentral/fileexchange/60874-fotf-toolbox.
|
[44] |
S. Song, B. Zhang, X. Song, and Z. Zhang, “Neuro-fuzzy-based adaptive dynamic surface control for fractional-order nonlinear strict-feedback systems with input constraint,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 51, no. 6, pp. 3575–3586, 2021. doi: 10.1109/TSMC.2019.2933359
|
[45] |
X. Li, C. Wen, and Y. Zou, “Adaptive backstepping control for fractionalorder nonlinear systems with external disturbance and uncertain parameters using smooth control,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 52, no. 1, pp. 238–246, 2022. doi: 10.1109/TSMC.2020.2987335
|
[46] |
H. Yang, F. Wang, and F. Han, “Containment control of fractional order multi-agent systems with time delays,” IEEE/CAA J. Autom. Sinica, vol. 5, no. 3, pp. 727–732, 2018. doi: 10.1109/JAS.2016.7510211
|
[47] |
Y. Liu and H. Su, “Necessary and sufficient conditions for containment in fractional-order multiagent systems via sampled data,” IEEE Trans. Systems,Man,and Cybernetics: Systems, vol. 52, no. 1, pp. 238–246, 2022. doi: 10.1109/TSMC.2020.2997294
|
[48] |
Y. Ye, H. Wei, R. Lu, H. Su, and Y. Wu, “Containment control for networked fractional-order systems with sampled position data,” IEEE Trans. Circuits and Systems I: Regular Papers, vol. 68, no. 9, pp. 3881–3889, 2021. doi: 10.1109/TCSI.2021.3090953
|