Distributed constrained consensus for discrete multi-agent systems with additive noises

References

• Broek, B., Wiegerinck, W., & Kappen, B. (2008). Graphical model inference in optimal control of stochastic multi-agent systems. Journal of Artificial Intelligence Research, 32, 95–122. https://doi.org/10.1613/jair.2473
   Web of Science ®Google Scholar
• Chen, G., & Zhao, Z. (2018). Delay effects on consensus-base distributed economic dispatch algorithm in microgrid. IEEE Transactions on Power Systems, 33(1), 602–612. https://doi.org/10.1109/TPWRS.2017.2702179
   Web of Science ®Google Scholar
• Du, H., Zhu, W., & Wen, G. (2019). Distributed formation control of multiple quadrotor aircraft based on nonsmooth consensus algorithms. IEEE Transactions on Cybernetics, 49(1), 342–353. https://doi.org/10.1109/TCYB.2017.2777463
   PubMed Web of Science ®Google Scholar
• Franceschelli, M., Giua, A., & Pisano, A. (2017). Finite-time consensus on the median value with robustness properties. IEEE Transactions on Automatic Control, 62(4), 1652–1667. https://doi.org/10.1109/TAC.2016.2590602
   Web of Science ®Google Scholar
• Ge, X., Han, Q., & Wang, Z. (2019). A threshold-parameter-dependent approach to designing distributed event-triggered H∞ consensus filters over sensor networks. IEEE Transactions on Cybernetics, 49(4), 1148–1159. https://doi.org/10.1109/TCYB.6221036
   PubMed Web of Science ®Google Scholar
• Granichin, O., Erofeeva, V., Ivanskiy, Y., & Jiang, Y. (2020). Simultaneous perturbation stochastic approximation-based consensus for tracking under unknown-but-bounded disturbances. IEEE Transactions on Automatic Control, 66(8), 3710–3717. https://doi.org/10.1109/TAC.2020.3024169
   Web of Science ®Google Scholar
• Guo, L. (1990). Time-varying stochastic systems: Stability, estimation and control. Jilin Science and Technology Press.
   Google Scholar
• Huang, H., Shi, M., & Xu, Q. (2020). Consensus-based economic dispatch algorithm in a microgrid via distributed event-triggered control. International Journal of Systems Science, 51(15), 3044–3054. https://doi.org/10.1080/00207721.2020.1808110
   Web of Science ®Google Scholar
• Huang, M., & Manton, J. H. (2009). Coordination and consensus of networked agents with noisy measurements: stochastic algorithms and asymptotic behavior. SIAM Journal on Control and Optimization, 48(1), 134–161. https://doi.org/10.1137/06067359X
   Web of Science ®Google Scholar
• Li, H., Jin, B., & Yan, W. (2021). Distributed model predictive control for linear systems under communication noise: Algorithm, theory and implementation. Automatica, 125(4), 109422. https://doi.org/10.1016/j.automatica.2020.109422
   Google Scholar
• Li, T., & Zhang, J. (2010). Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises. IEEE Transactions on Automatic Control, 55(9), 2043–2057. https://doi.org/10.1109/TAC.2010.2042982
   Web of Science ®Google Scholar
• Li, X., Soh, Y. C., & Xie, L. (2018). Robust consensus of uncertain linear multi-agent systems via dynamic output feedback. Automatica, 98, 114–123. https://doi.org/10.1016/j.automatica.2018.09.020
   Web of Science ®Google Scholar
• Lin, P., & Ren, W. (2014). Constrained consensus in unbalanced networks with communication delays. IEEE Transactions on Automatic Control, 59(3), 775–781. https://doi.org/10.1109/TAC.2013.2275671
   Web of Science ®Google Scholar
• Lin, X., Boyd, S., & Lall, S. (2005). A scheme for robust distributed sensor fusion based on average consensus. In Proceedings of the 4th International Symposium on Information Processing in Sensor Networks (pp. 63–70).
   Google Scholar
• Lin, Z., Wang, L., Han, Z., & Fu, M. (2014). Distributed formation control of multi-agent systems using complex Laplacian. IEEE Transactions on Automatic Control, 59(7), 1765–1777. https://doi.org/10.1109/TAC.2014.2309031
   Web of Science ®Google Scholar
• Liu, S., Li, T., Fu, M., & Zhang, J. F. (2013). Continuous-time and sampled-data based average consensus with logarithmic quantizers. Automatica, 49(11), 3329–3336. https://doi.org/10.1016/j.automatica.2013.07.016
   Web of Science ®Google Scholar
• Necoara, I., Richtárik, P., & Patrascu, A. (2019). Randomized projection methods for convex feasibility: Conditioning and convergence rates. SIAM Journal on Optimization, 29(4), 2814–2852. https://doi.org/10.1137/18M1167061
   Web of Science ®Google Scholar
• Olfati-Saber, R., & R. M. Murray (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49(9), 1520–1533. https://doi.org/10.1109/TAC.2004.834113
   Web of Science ®Google Scholar
• Olfati-Saber, R., & Shamma, J. S. (2005). Consensus filters for sensor networks and distributed sensor fusion. In Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference (pp. 6698–6703).
   Google Scholar
• Qiu, Z., Liu, S., & Xie, L. (2016). Distributed constrained consensus with distance-dependent measurement noises. IFAC-PapersOnLine, 49(22), 234–239. https://doi.org/10.1016/j.ifacol.2016.10.402
   Google Scholar
• Ren, W., & Beard, R. (2008). Distributed consensus in multi-vehicle cooperative control: Theory and applications. Springer.
   Google Scholar
• Renato, V., Paolo, F., & Elena, P. (2021). On the influence of noise in randomized consensus algorithms. IEEE Control Systems Letters, 5(3), 1025–1030. https://doi.org/10.1109/LCSYS.7782633
   Google Scholar
• Shah, S. M., & Borkar, V. S. (2018). Distributed stochastic approximation with local projections. SIAM Journal on Optimization, 28(4), 3375–3401. https://doi.org/10.1137/17M1128460
   Web of Science ®Google Scholar
• Shi, G., Johansson, K. H., & Hong, Y. (2013). Reaching an optimal consensus: dynamical systems that compute intersections of convex sets. IEEE Transactions on Automatic Control, 58(3), 610–622. https://doi.org/10.1109/TAC.2012.2215261
   Web of Science ®Google Scholar
• Sun, H., Wang, Z., & Xu, J. (2020). Exact consensus error for multi-agent systems with additive noises. Journal of Systems Science and Complexity, 33(3), 640–651. https://doi.org/10.1007/s11424-020-8287-9
   Web of Science ®Google Scholar
• Wang, L., & Guo, L. (2018). Robust consensus and soft control of multi-agent systems with noises. Journal of Systems Science and Complexity, 21(3), 406–415. https://doi.org/10.1007/s11424-008-9122-x
   Google Scholar
• Wang, X., Zerr, B., Clement, B., & Xie, Z. (2020). Pattern formation of multi-AUV systems with the optical sensor based on displacement-based formation control. International Journal of Systems Science, 51(2), 1–20. https://doi.org/10.1080/00207721.2019.1690071
   Web of Science ®Google Scholar
• Wang, Y., Wei, Y., Liu, X., Zhou, N., & Cassandras, C. G. (2019). Optimal persistent monitoring using second-order agents with physical constraints. IEEE Transactions on Automatic Control, 64(8), 3239–3252. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Wang, Z., Sun, H., Zhang, H., & Liu, X. (2020). Bounded consensus control for stochastic multi-agent systems with additive noises. Neurocomputing, 408(1), 72–79. https://doi.org/10.1016/j.neucom.2019.11.027
   Google Scholar
• Yang, Z., Zhang, Q., & Chen, Z. (2021). Finite-time distributed projection scheme for intersections of convex sets. Science China-Information Sciences, 64(9), 1–3. 10.1007/s11432-018-9853-9
   Web of Science ®Google Scholar
• Zhao, D., Dong, T., & Hu, W. (2018). Event-triggered consensus of discrete time second-order multi-agent network. International Journal of Control, Automation and Systems, 16(1), 87–96. https://doi.org/10.1007/s12555-017-0039-9
   Web of Science ®Google Scholar
• Zheng, Y., Ma, J, & Wang, L. (2018). Consensus of hybrid multi-agent systems. IEEE Transactions on Neural Networks and Learning Systems, 29(4), 1359–1365. https://doi.org/10.1109/TNNLS.2017.2651402
   PubMed Web of Science ®Google Scholar
• Zheng, Y., Zhao, Q., & Ma, J. (2019). Second-order consensus of hybrid multi-agent systems. Systems and Control Letters, 125, 51–58. https://doi.org/10.1016/j.sysconle.2019.01.009
   Web of Science ®Google Scholar
• Zhou, J., Kim, S., & Zhang, H. (2018). Consensus-based distributed control for accurate reactive, harmonic, and imbalance power sharing in microgrids. IEEE Transactions on Smart Grid, 9(4), 2453–2467. https://doi.org/10.1109/TSG.2016.2613143
   Web of Science ®Google Scholar