Volume 1, Issue 1 (Journal of Control (English Edition), VOL. 01, NO. 01, 2022)                   jocee 2022, 1(1): 85-97 | Back to browse issues page


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Gharib B, Mahboobi Esfanjani R. Distributed Control of Multi-Robot Systems with Communication Delay for Cooperative Source Seeking. jocee 2022; 1 (1) :85-97
URL: http://jocee.kntu.ac.ir/article-1-58-en.html
1- Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran
Abstract:   (511 Views)
This paper investigates the problem of cooperative source seeking by networked multi-agent systems subject to communication time-delay; where the robots of the group are equipped with the sensors that measure the field concentration. First, a novel distributed control algorithm is proposed based on the estimation of the field gradient to move the agents along the gradient direction toward the source. Sufficient conditions are derived in terms of linear matrix inequalities to tune the parameters of the control law to assure the convergence of the team to a neighborhood of the source in spite of the estimation errors and communication time-delay. A cooperative estimation scheme is developed to obtain the gradient of the formation center by the delayed information. Finally, simulation results in Matlab® and Webots® are presented to demonstrate the efficiency and applicability of the suggested theory.
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Type of Article: Research paper | Subject: General
Received: 2022/04/9 | Accepted: 2022/06/30 | Published: 2022/07/28

References
1. [1] B. Mu, J. Chen, Y. Shi, and Y. Chang, "Design and implementation of nonuniform sampling cooperative control on a group of two-wheeled mobile robots," IEEE Transactions on Industrial Electronics, vol. 64, pp. 5035-5044, 2016. [DOI:10.1109/TIE.2016.2638398]
2. [2] B. Wang, W. Chen, J. Wang, B. Zhang, Z. Zhang, and X. Qiu, "Cooperative tracking control of multiagent systems: A heterogeneous coupling network and intermittent communication framework," IEEE transactions on cybernetics, vol. 49, pp. 4308-4320, 2018. [DOI:10.1109/TCYB.2018.2859345]
3. [3] B. Wang, W. Chen, B. Zhang, and Y. Zhao, "Regulation cooperative control for heterogeneous uncertain chaotic systems with time delay: A synchronization errors estimation framework," Automatica, vol. 108, p. 108486, 2019. [DOI:10.1016/j.automatica.2019.06.038]
4. [4] S. Li and Y. Guo, "Distributed source seeking by cooperative robots: All-to-all and limited communications," in 2012 IEEE International Conference on Robotics and Automation, 2012, pp. 1107-1112. [DOI:10.1109/ICRA.2012.6224713]
5. [5] S. Li, R. Kong, and Y. Guo, "Cooperative distributed source seeking by multiple robots: Algorithms and experiments," IEEE/ASME Transactions on mechatronics, vol. 19, pp. 1810-1820, 2014. [DOI:10.1109/TMECH.2013.2295036]
6. [6] W. Fu, J. Qin, W. X. Zheng, Y. Chen, and Y. Kang, "Resilient cooperative source seeking of double-integrator multi-robot systems under deception attacks," IEEE Transactions on Industrial Electronics, vol. 68, pp. 4218-4227, 2020. [DOI:10.1109/TIE.2020.2987270]
7. [7] M. Ghadiri-Modarres and M. Mojiri, "Normalized Extremum Seeking and Its Application to Nonholonomic Source Localization," IEEE Transactions on Automatic Control, vol. 66, pp. 2281-2288, 2020. [DOI:10.1109/TAC.2020.3004786]
8. [8] L.-Y. Yang, S.-J. Liu, and P.-P. Zhang, "Stochastic averaging for time-varying systems and its applications to distributed stochastic source seeking," IFAC-PapersOnLine, vol. 52, pp. 807-812, 2019. [DOI:10.1016/j.ifacol.2019.12.062]
9. [9] A. Berdahl, C. Torney, C. Ioannou, J. Faria, and I. Couzin, "Collective sensing of complex environments by animal groups," ed: prep, 2012. [DOI:10.1126/science.1225883]
10. [10] T. R. Oliveira and M. Krstić, "Gradient extremum seeking with delays," IFAC-PapersOnLine, vol. 48, pp. 227-232, 2015. [DOI:10.1016/j.ifacol.2015.09.382]
11. [11] J. Liu, Y. Zhang, C. Sun, and Y. Yu, "Fixed-time consensus of multi-agent systems with input delay and uncertain disturbances via event-triggered control," Information Sciences, vol. 480, pp. 261-272, 2019. [DOI:10.1016/j.ins.2018.12.037]
12. [12] Q. Li, J. Wei, Q. Gou, and Z. Niu, "Distributed adaptive fixed-time formation control for second-order multi-agent systems with collision avoidance," Information Sciences, vol. 564, pp. 27-44, 2021. [DOI:10.1016/j.ins.2021.02.029]
13. [13] D. Wang, Z. Wang, M. Chen, and W. Wang, "Distributed optimization for multi-agent systems with constraints set and communication time-delay over a directed graph," Information Sciences, vol. 438, pp. 1-14, 2018. [DOI:10.1016/j.ins.2018.01.040]
14. [14] T. R. Oliveira, M. Krstić, and D. Tsubakino, "Extremum seeking for static maps with delays," IEEE Transactions on Automatic Control, vol. 62, pp. 1911-1926, 2016. [DOI:10.1109/TAC.2016.2564958]
15. [15] A. Turgeman and H. Werner, "Multiple source seeking using glowworm swarm optimization and distributed gradient estimation," in 2018 Annual American Control Conference (ACC), 2018, pp. 3558-3563. [DOI:10.23919/ACC.2018.8430843]
16. [16] J. Wang and K. D. Pham, "An approximate distributed gradient estimation method for networked system optimization under limited communications," IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 50, pp. 5142-5151, 2018. [DOI:10.1109/TSMC.2018.2867154]
17. [17] H. Wei, Q. Lv, N. Duo, G. Wang, and B. Liang, "Consensus algorithms based multi-robot formation control under noise and time delay conditions," Applied Sciences, vol. 9, p. 1004, 2019. [DOI:10.3390/app9051004]
18. [18] H. Lu, W. Yao, and L. Chen, "Distributed multi-robot circumnavigation with dynamic spacing and time delay," Journal of Intelligent & Robotic Systems, vol. 99, pp. 165-182, 2020. [DOI:10.1007/s10846-019-01111-0]
19. [19] L. Brinón-Arranz, L. Schenato, and A. Seuret, "Distributed source seeking via a circular formation of agents under communication constraints," IEEE Transactions on Control of Network Systems, vol. 3, pp. 104-115, 2015. [DOI:10.1109/TCNS.2015.2428391]
20. [20] M. Spong, "Hutchinso, n. Seth, and MV Vidyasagar,"Robot Modeling and Control," John Wiley& Sons," ed: Inc, 2006.
21. [21] K. Gu, J. Chen, and V. L. Kharitonov, Stability of time-delay systems: Springer Science & Business Media, 2003. [DOI:10.1007/978-1-4612-0039-0]
22. [22] B. Gharesifard and J. Cortés, "Distributed continuous-time convex optimization on weight-balanced digraphs," IEEE Transactions on Automatic Control, vol. 59, pp. 781-786, 2013. [DOI:10.1109/TAC.2013.2278132]

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