Regional consensus in discrete-time multi-agent systems subject to time-varying delays and saturating actuators

References

• Castro, M. F., Seuret, A., Leite, V. J., & Silva, L. F. (2020, December). Robust local stabilization of discrete time-varying delayed state systems under saturating actuators. Automatica, 122(3), Article 109266. https://doi.org/10.1016/j.automatica.2020.109266
   Google Scholar
• Chaimowicz, L., Cowley, A., Gomez-Ibanez, D., Grocholsky, B., Hsieh, M. A., Hsu, H., Keller, J. F., Kumar, V., Swaminathan, R., & Taylor, C. J. (2005). Deploying air-ground multi-robot teams in urban environments. In L.E. Parker, F.E. Schneider, & A.C. Schultz (Eds.), Multi-robot systems. from swarms to intelligent automata volume III (pp. 223–234). Springer Netherlands.
   Google Scholar
• Chen, F., & Ren, W. (2019). On the control of multi-agent systems: A survey. Foundations and Trends in Systems and Control, 6(4), 339–499. https://doi.org/10.1561/2600000019
   Web of Science ®Google Scholar
• Chu, H., Yue, D., Dou, C., & Chu, L. (2019). Adaptive PI control for consensus of multiagent systems with relative state saturation constraints. IEEE Transactions on Cybernetics, 51(4), 1–7. https://doi.org/10.1109/tcyb.2019.2954955.
   Web of Science ®Google Scholar
• Ding, L., Zheng, W. X., & Guo, G. (2018). Network-based practical set consensus of multi-agent systems subject to input saturation. Automatica, 89(9), 316–324. https://doi.org/10.1016/j.automatica.2017.12.001
   Google Scholar
• Dorri, A., Kanhere, S. S., & Jurdak, R. (2018). Multi-agent systems: A survey. IEEE Access, 6, 28573–28593. https://doi.org/10.1109/ACCESS.2018.2831228
   Web of Science ®Google Scholar
• Fridman, E. (2014). Tutorial on Lyapunov-based methods for time-delay systems. European Journal of Control, 20(6), 271–283. https://doi.org/10.1016/j.ejcon.2014.10.001
   Web of Science ®Google Scholar
• Fu, J., Wang, Q., & Wang, J. (2019). Robust finite-time consensus tracking for second-order multi-agent systems with input saturation under general directed communication graphs. International Journal of Control, 92(8), 1785–1795. https://doi.org/10.1080/00207179.2017.1411609
   Web of Science ®Google Scholar
• Hu, L., Wang, X., & Li, H. (2018). Distributed consensus of a class of networked nonlinear systems by non-uniform sampling with probabilistic transmission delays and its application to two-link manipulators. Transactions of the Institute of Measurement and Control, 40(11), 3314–3322. https://doi.org/10.1177/0142331217707368
   Web of Science ®Google Scholar
• Jesus, T. A., Pimenta, L. C. A., Tôrres, L. A. B., & Mendes, E. M. A. M. (2014). Consensus for double-integrator dynamics with velocity constraints. International Journal of Control, Automation and Systems, 12(5), 930–938. https://doi.org/10.1007/s12555-013-0309-0
   Web of Science ®Google Scholar
• Khalil, H. K. (2002). Nonlinear systems (3rd ed., Vol. 10). Prentice Hall.
   Google Scholar
• Leite, V. J., Castelan, E. B., Silva, L. F., & de Souza, C. (2021). Control of constrained discrete-time systems with time-varying state delay. In M H. Khooban & T. Dragicevic (Eds.), Control strategy for time-delay systems -- part 1: Concepts and theories (1st ed., pp. 347–381). Academic Press.
   Google Scholar
• Lu, M., & Liu, L. (2018). Leader-Following consensus of multiple uncertain Euler-Lagrange systems subject to communication delays and switching networks. IEEE Transactions on Automatic Control, 63(8), 2604–2611. https://doi.org/10.1109/TAC.2017.2771318
   Web of Science ®Google Scholar
• Mesbahi, M., & Egerstedt, M. (2010). Graph theoretic methods in multiagent networks. Princeton University Press.
   Google Scholar
• O'Donoghue, B., Chu, E., Parikh, N., & Boyd, S. (2016). Conic optimization via operator splitting and homogeneous self-dual embedding. Journal of Optimization Theory and Applications, 169(3), 1042–1068. https://doi.org/10.1007/s10957-016-0892-3
   Web of Science ®Google Scholar
• Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007). Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 95(1), 215–233. https://doi.org/10.1109/JPROC.2006.887293
   Web of Science ®Google Scholar
• Qin, J., Ma, Q., Shi, Y., Wang, L., Member, S., & Shi, Y. (2017). Recent advances in consensus of multi-agent systems: A brief survey. IEEE Transactions on Industrial Electronics, 64(6), 4972–4983. https://doi.org/10.1109/TIE.2016.2636810
   Web of Science ®Google Scholar
• Razaq, M. A., Rehan, M., Tufail, M., & Ahn, C. K. (2020). Multiple Lyapunov functions approach for consensus of one-sided Lipschitz multi-agents over switching topologies and input saturation. IEEE Transactions on Circuits and Systems II: Express Briefs, 67(12), 3267–3271. https://doi.org/10.1109/TCSII.2020.2986009
   Web of Science ®Google Scholar
• Sakthivel, R., Parivallal, A., Kaviarasan, B., Lee, H., & Lim, Y. (2018). Finite-time consensus of Markov jumping multi-agent systems with time-varying actuator faults and input saturation. ISA Transactions, 83, 89–99. https://doi.org/10.1016/j.isatra.2018.08.016
   PubMed Web of Science ®Google Scholar
• Savino, H. J., Souza, F. O., Pimenta, L. C. A., de Oliveira, M., & Palhares, R. M. (2016). Conditions for consensus of multi-agent systems with time-delays and uncertain switching topology. IEEE Transactions on Industrial Electronics, 63(2), 1258–1267. https://doi.org/10.1109/TIE.2015.2504043
   Web of Science ®Google Scholar
• Schmitendorf, W. E., & Barmish, B. R. (1980). Null controllability of linear systems with constrained controls. SIAM Journal on Control and Optimization, 18(4), 327–345. https://doi.org/10.1137/0318025
   Web of Science ®Google Scholar
• Semsar-Kazerooni, E., & Khorasani, K. (2010). Team consensus for a network of unmanned vehicles in presence of actuator faults. IEEE Transactions on Control Systems Technology, 18(5), 1155–1161. https://doi.org/10.1109/TCST.2009.2032921
   Web of Science ®Google Scholar
• Silva, L. F., Leite, V. J., Castelan, E. B., Klug, M., & Guelton, K. (2020). Local stabilization of nonlinear discrete-time systems with time-varying delay in the states and saturating actuators. Information Sciences, 518(2016), 272–285. https://doi.org/10.1016/j.ins.2020.01.029
   Google Scholar
• Silva, L. F. P., Leite, V. J. S., Castelan, E. B., & Feng, G. (2018). Delay dependent local stabilization conditions for time-delay nonlinear discrete-time systems using Takagi-Sugeno models. International Journal of Control, Automation and Systems, 16(3), 1435–1447. https://doi.org/10.1007/s12555-017-0526-z
   Web of Science ®Google Scholar
• Silva, T. C., Souza, F. O., & Pimenta, L. C. A. (2020a). Consensus in multi-agent systems subject to input saturation and time-varying delays. International Journal of Systems Science, 52(7), 1479–1498. https://doi.org/10.1080/00207721.2020.1860267.
   Web of Science ®Google Scholar
• Silva, T. C., Souza, F. O., & Pimenta, L. C. A. (2020b). Distributed formation-containment control with Euler-Lagrange systems subject to input saturation and communication delays. International Journal of Robust and Nonlinear Control, 30(7), 2999–3022. https://doi.org/10.1002/rnc.4919
   Web of Science ®Google Scholar
• Su, H., Qiu, Y., & Wang, L. (2017). Semi-global output consensus of discrete-time multi-agent systems with input saturation and external disturbances. ISA Transactions, 67(5), 131–139. https://doi.org/10.1016/j.isatra.2017.01.004
   PubMedGoogle Scholar
• Sun, Y. G., & Wang, L. (2009). Consensus of multi-agent systems in directed networks with nonuniform time-varying delays. IEEE Transactions on Automatic Control, 54(7), 1607–1613. https://doi.org/10.1109/TAC.2009.2017963
   Web of Science ®Google Scholar
• Tarbouriech, S., Garcia, G., Gomes da Silva, Jr., J. M., & Queinnec, I. (2011). Stability and stabilization of linear systems with saturating actuators (1st ed.). Springer London.
   Google Scholar
• Tarbouriech, S., Prieur, C., & Gomes Da Silva, Jr., J. M. (2006). Stability analysis and stabilization of systems presenting nested saturations. IEEE Transactions on Automatic Control, 51(8), 1364–1371. https://doi.org/10.1109/TAC.2006.878743
   Web of Science ®Google Scholar
• ur Rehman, A., Rehan, M., Riaz, M., Abid, M., & Iqbal, N. (2020). Consensus tracking of nonlinear multi-agent systems under input saturation with applications: A sector-based approach. ISA Transactions. https://doi.org/10.1016/j.isatra.2020.07.030.
   Google Scholar
• Wang, Z., Zhang, H., Song, X., & Zhang, H. (2017). Consensus problems for discrete-time agents with communication delay. International Journal of Control, Automation and Systems, 15(4), 1515–1523. https://doi.org/10.1007/s12555-015-0446-8
   Web of Science ®Google Scholar
• Yang, T., Meng, Z., Dimarogonas, D. V., & Johansson, K. H. (2014). Global consensus for discrete-time multi-agent systems with input saturation constraints. Automatica, 50(2), 499–506. https://doi.org/10.1016/j.automatica.2013.11.008
   Web of Science ®Google Scholar
• You, X., Hua, C., Peng, D., & Guan, X. (2016). Leader-following consensus for multi-agent systems subject to actuator saturation with switching topologies and time-varying delays. IET Control Theory & Applications, 10(2), 144–150. https://doi.org/10.1049/iet-cta.2015.0024.
   Web of Science ®Google Scholar
• Zhang, D., & Duan, G. (2018). Leader-following fixed-time output feedback consensus for second-order multi-agent systems with input saturation. International Journal of Systems Science, 49(14), 2873–2887. https://doi.org/10.1080/00207721.2018.1509243
   Web of Science ®Google Scholar
• Zhang, G., Xu, J., Zeng, J., Xi, J., & Tang, W. (2017). Consensus of high-order discrete-time linear networked multi-agent systems with switching topology and time delays. Transactions of the Institute of Measurement and Control, 39(8), 1182–1194. https://doi.org/10.1177/0142331216629197
   Web of Science ®Google Scholar
• Zhang, L., Chen, M. Z., & Su, H. (2016). Observer-based semi-global consensus of discrete-time multi-agent systems with input saturation. Transactions of the Institute of Measurement and Control, 38(6), 665–674. https://doi.org/10.1177/0142331215617523
   Web of Science ®Google Scholar
• Zhang, M., Saberi, A., & Stoorvogel, A. A. (2018a). Semiglobal state synchronization for continuous- or discrete-time multiagent systems subject to actuator saturation. International Journal of Robust and Nonlinear Control, 28(16), 4966–4980. https://doi.org/10.1002/rnc.4293.
   Web of Science ®Google Scholar
• Zhang, M., Saberi, A., & Stoorvogel, A. A. (2018b). Synchronization in a network of identical continuous- or discrete-time agents with unknown nonuniform constant input delay. International Journal of Robust and Nonlinear Control, 28(13), 3959–3973. https://doi.org/10.1002/rnc.v28.13
   Web of Science ®Google Scholar
• Zhang, M., Saberi, A., & Stoorvogel, A. A. (2020). Semi-global state synchronization for discrete-time multi-agent systems subject to actuator saturation and unknown nonuniform input delay. European Journal of Control, 54(8), 12–21. https://doi.org/10.1016/j.ejcon.2019.12.006
   Google Scholar
• Zhou, Z., Wang, H., Hu, Z., & Xue, X. (2018). Event-triggered finite-time consensus of multiple Euler Lagrange systems under Markovian switching topologies. International Journal of Systems Science, 49(8), 1641–1653. https://doi.org/10.1080/00207721.2018.1464609
   Web of Science ®Google Scholar