Event-triggered sampled-data synchronization of complex networks with uncertain inner coupling and time-varying delays. (English) Zbl 07892566
Summary: This paper focuses on event-triggered sampled-data synchronization of uncertain complex networks with time-varying coupled delays. First of all, a discrete event-triggered sampled-data control scheme is adopted, which not only makes the state of the system be monitored in discrete time, but also the sampling information is effectively transmitted. The proposed event-triggered mechanism effectively prevents Zeno behavior. In addition, we also use some novel piecewise time-dependent Lyapunov-Krasovskii and Wirtinger inequality to handle the time-varying delays and parameter uncertainties of complex networks. Then, synchronization criteria are given for uncertain complex networks. Finally, the simulation results show that the control scheme can significantly reduce the number of transmitted signals while maintaining the uncertain complex networks synchronization.
© 2023 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
© 2023 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
MSC:
| 93-XX | Systems theory; control |
Keywords:
event triggered; sampled-data control; time-varying coupled delays; uncertain complex networksReferences:
| [1] | H.Zhou, Z.Liu, D.Chu, and W.Li, Sampled‐data synchronization of complex network based on periodic self‐triggered intermittent control and its application to image encryption, Neural Netw.152 (2022), 419-433. · Zbl 1530.93258 |
| [2] | Q.Yang, Y.Chen, Y.Lin, X.Chen, and J.Wen, PI consensus‐based integrated distributed control of MMC‐MTDC systems, IEEE Trans. Power Syst.38 (2022), no. 3, 2333-2347, DOI 10.1109/TPWRS.2022.3179530. |
| [3] | X.Song, R.Zhang, C. K.Ahn, and S.Song, Synchronization for Markovian jumping reaction‐diffusion complex dynamical networks: a space‐time sampled‐data control scheme, IEEE Trans. Netw. Sci. Eng.9 (2022), no. 4, 2684-2696. |
| [4] | Z.Yin, W.Yan, Z.Bintao, and Z.He, Velocity‐free adaptive nonsingular fast terminal sliding mode finite-time attitude tracking control for spacecraft, Asian J. Control25 (2023), no. 5, 3687-3698, DOI 10.1002/asjc.3051. · Zbl 07892408 |
| [5] | G.Wen, P.Wang, Y.Lv, G.Chen, and J.Zhou, Secure consensus of multi‐agent systems under denial‐of‐service attacks, Asian J. Control25 (2023), no. 2, 695-709, DOI 10.1002/asjc.2953. · Zbl 07889030 |
| [6] | D.Liu, Y.Xu, J.Wang, Y.Xu, A.Anpalagan, Q.Wu, H.Wang, and L.Shen, Self‐organizing relay selection in UAV communication networks: a matching game perspective, IEEE Wirel. Commun.26 (2019), no. 6, 102-110. |
| [7] | S.Khorashadizadeh and M. H.Majidi, Synchronization of two different chaotic systems using Legendre polynomials with applications in secure communications, Front. Inform. Technol. Electron. Eng.19 (2018), no. 9, 1180-1190. |
| [8] | D. M.Kumar, R.Arthi, C.Aravindhan, A. A.Roch, K.Priyadarsini, and J.Deny, Traffic congestion control synchronizing and rerouting using LoRa, Microprocess. Microsyst.2 (2021), 104048, DOI 10.1016/j.micpro.2021.104048. |
| [9] | J. L.Wang, L.Wang, and H. N.Wu, Synchronization for complex networks with multiple state or delayed state couplings under recoverable attacks, IEEE Trans. Syst. Man Cybern.: Syst.53 (2022), no. 1, 38-48. |
| [10] | J.Zhou and J.Yang, Distributed guidance law design for cooperative simultaneous attacks with multiple missiles, J. Guid. Control Dyn.39 (2016), no. 10, 2439-2447. |
| [11] | F. E.Serrano and D.Ghosh, Robust stabilization and synchronization in a network of chaotic systems with time‐varying delays, Chaos Robust Solitons Fractals159 (2022), 112134. · Zbl 1505.93142 |
| [12] | R.Zhang, D.Zeng, S.Zhong, and Y.Yu, Event‐triggered sampling control for stability and stabilization of memristive neural networks with communication delays, Appl. Math. Comput.310 (2017), 57-74. · Zbl 1426.94180 |
| [13] | H.Lei and N.Jia, Synchronization of complex networks with dynamic parameters uncertainty and mixed delays coupling, Int. J. Dyn. Control (2023), DOI 10.1007/s40435‐023‐01215‐4. |
| [14] | X.Liu, J.Xia, J.Wang, and H.Shen, Interval type‐2 fuzzy passive filtering for nonlinear singularly perturbed PDT‐switched systems and its application, J. Syst. Sci. Complex.34 (2021), no. 6, 2195-2218. · Zbl 1485.93591 |
| [15] | C.Ge, B.Wang, X.Wei, and Y.Liu, Exponential synchronization of a class of neural networks with sampled‐data control, Appl. Math. Comput.315 (2017), 150-161. · Zbl 1426.93178 |
| [16] | Y.Hao, C.Huang, J.Cao, and H.Liu, Positivity and stability of fractional‐order linear time‐delay systems, J. Syst. Sci. Complex.35 (2022), no. 6, 2181-2207. · Zbl 1521.93148 |
| [17] | Y.Liu, B. Z.Guo, J. H.Park, and S. M.Lee, Nonfragile exponential synchronization of delayed complex dynamical networks with memory sampled‐data control, IEEE Trans. Neural Netw. Learn. Syst.29 (2016), no. 1, 118-128. |
| [18] | J.Zhou, Y.Lv, G.Wen, et al., Terminal‐time synchronization of multivehicle systems under sampled‐data communications, IEEE Trans. Syst. Man Cybern.: Syst.52 (2021), no. 4, 2625-2636. |
| [19] | Y.Wu, H. R.Karimi, and R.Lu, Sampled‐data control of network systems in industrial manufacturing, IEEE Trans. Industr. Electron.65 (2018), no. 11, 9016-9024. |
| [20] | H.Wang, N.Li, and Q.Luo, Adaptive fractional‐order nonsingular fast terminal sliding mode formation control of multiple quadrotor UAVs‐based distributed estimator, Asian J. Control (2023), DOI 10.1002/asjc.3043. · Zbl 07892407 |
| [21] | Z. G.Wu, P.Shi, H.Su, and J.Chu, Sampled‐data exponential synchronization of complex dynamical networks with time‐varying coupling delay, IEEE Trans. Neural Netw. Learn. Syst.24 (2013), no. 8, 1177-1187. |
| [22] | M. S.Ali, M.Usha, Z.Orman, and S.Arik, Improved result on state estimation for complex dynamical networks with time varying delays and stochastic sampling via sampled‐data control, Neural Netw.114 (2019), 28-37. · Zbl 1441.93306 |
| [23] | G.Chen, J.Xia, J. H.Park, H.Shen, and G.Zhuang, Robust sampled‐data control for switched complex dynamical networks with actuators saturation, IEEE Trans. Cybern.52 (2021), no. 10, 10909-10923. |
| [24] | X.Wang, J. H.Park, H.Yang, X.Zhang, and S.Zhong, Delay‐dependent fuzzy sampled‐data synchronization of T‐S fuzzy complex networks with multiple couplings, IEEE Trans. Fuzzy Syst.28 (2019), no. 1, 178-189. |
| [25] | J.Wang, H.Jiang, T.Ma, and C.Hu, [( {H}_{\infty } \]\) control of memristive neural networks with aperiodic sampling and actuator saturation, Int. J. Robust Nonlin. Control28 (2018), no. 8, 3092-3111. · Zbl 1391.93086 |
| [26] | Y.Liu and S. M.Lee, Improved results on sampled‐data synchronization of complex dynamical networks with time‐varying coupling delay, Nonlin. Dyn.81 (2015), no. 1, 931-938. · Zbl 1347.34085 |
| [27] | W.Zhang, A.Abuzar Hussein Mohammed, J.Bao, and Y.Liu, Adaptive event‐triggering consensus for multi‐agent systems with linear time‐varying dynamics, J. Syst. Sci. Complex.35 (2022), no. 5, 1700-1718. · Zbl 1504.93356 |
| [28] | X.Wang, J. H.Park, H.Yang, and Z.Yu, Sampled‐data‐based fuzzy pinning synchronization of complex networked systems with adaptive event‐triggered communications, IEEE Trans. Fuzzy Syst.30 (2022), no. 7, 2254-2265. |
| [29] | J.Li, H.Jiang, J.Wang, C.Hu, and G.Zhang, [( {H}_{\infty } \]\) exponential synchronization of complex networks: aperiodic sampled‐data‐based event‐triggered control, IEEE Trans. Cybern.52, no. 8, 7968-7980. |
| [30] | W.Xing, P.Shi, R. K.Agarwal, and L.Li, Robust [( {H}_{\infty } \]\) pinning synchronization for complex networks with event‐triggered communication scheme, IEEE Trans. Circ. Syst. I: Reg. Papers67 (2020), no. 12, 5233-5245. · Zbl 1468.93020 |
| [31] | R.Zhang, D.Zeng, J. H.Park, Y.Liu, and S.Zhong, Pinning event‐triggered sampling control for synchronization of T‐S fuzzy complex networks with partial and discrete‐time couplings, IEEE Trans. Fuzzy Syst.27 (2019), no. 12, 2368-2380. |
| [32] | A.Amini, A.Asif, and A.Mohammadi, A performance guaranteed sampled‐data event‐triggered consensus approach for linear multi‐agent systems, Inform. Sci.484 (2019), 338-349. · Zbl 1453.93218 |
| [33] | M.Xu, M.Li, and F.Hao, Fully distributed optimization of second‐order systems with disturbances based on event‐triggered control, Asian J. Control25 (2023), no. 5, 3715-3728, DOI 10.1002/asjc.3064. · Zbl 07892410 |
| [34] | Q.Dong, P.Yu, and Y.Ma, Event‐triggered synchronization control of complex networks with adaptive coupling strength, J. Franklin Inst.359 (2022), no. 2, 1215-1234. · Zbl 1481.93077 |
| [35] | C.Nowzari and J.Cortés, Distributed event‐triggered coordination for average consensus on weight‐balanced digraphs, Automatica68 (2016), 237-244. · Zbl 1334.93118 |
| [36] | N.Li, Y.Zhang, J.Hu, and Z.Nie, Synchronization for general complex dynamical networks with sampled‐data, Neurocomputing74 (2011), no. 5, 805-811. |
| [37] | Q.Li, B.Shen, J.Liang, and H.Shu, Event‐triggered synchronization control for complex networks with uncertain inner coupling, Int. J. Gen. Syst.44 (2015), no. 2, 212-225. · Zbl 1309.93101 |
| [38] | A.Seuret and F.Gouaisbaut, Wirtinger‐based integral inequality: application to time‐delay systems, Automatica49 (2013), no. 9, 2860-2866. · Zbl 1364.93740 |
| [39] | Q.Zhu and T.Huang, [( {H}_{\infty } \]\) control of stochastic networked control systems with time‐varying delays: the event‐triggered sampling case, Int. J. Robust Nonlin. Control31 (2021), no. 18, 9767-9781. · Zbl 1527.93095 |
| [40] | X.Chen, S.Hu, and X.Xie, Consensus‐based distributed secondary control of microgrids: a pre‐assigned time sliding mode approach, IEEE/CAA J. Autom. Sin. (2023), DOI 10.1109/JAS.2023.123891. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
