Volume 18, Issue 2 (Journal of Control, V.18, N.2 Summer 2024)                   JoC 2024, 18(2): 13-24 | Back to browse issues page

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Mehrabi Koushki M R, Askari J, Kamali M. Finite-Time Bipartite Formation of Nonlinear Heterogeneous Multi-Agent Systems. JoC 2024; 18 (2) :13-24
URL: http://joc.kntu.ac.ir/article-1-1013-en.html
1- Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan , Iran.
Abstract:   (2524 Views)
Due to their extended use, nowadays, Multi-Agent Systems have attracted the attention of many researchers. Bipartite formation is one of the interesting fields of Multi-Agent Systems that has been raised within a decade. In this research, the distributed bipartite formation of Multi-Agent Systems was investigated by a leader-follower approach. Heterogeneous agents in this approach have second-order nonlinear dynamics, and the communication graph between the agents is also a structurally balanced signed directed graph. Because of the distributed approach of the controller and the lack of existing communication between the leader and all of the followers, a finite-time observer is used to estimate the leader's dynamic in finite time. Also, because a finite-time approach increases performance and efficiency in many practical applications, a terminal sliding mode controller provides finite-time formation. Finally, the validity of the theoretical results is illustrated by simulation examples.  
Full-Text [PDF 1137 kb]   (67 Downloads)    
Type of Article: Research paper | Subject: Special
Received: 2023/12/6 | Accepted: 2024/04/13 | ePublished ahead of print: 2024/05/4 | Published: 2024/09/20

References
1. [1] A. Dorri, S. S. Kanhere, and R. Jurdak, "Multi-agent systems: a survey," IEEE Access, vol. 6, pp. 28573-28593, 2018. [DOI:10.1109/ACCESS.2018.2831228]
2. [2] X. Dong, Y. Zhou, Z. Ren, and Y. Zhong, "Time-varying formation tracking for second-order multi-agent systems subjected to switching topologies with application to quadrotor formation flying," IEEE Transactions on Industrial Electronics, vol. 64, no. 6, pp. 5014-5024, 2016. [DOI:10.1109/TIE.2016.2593656]
3. [3] M. De Queiroz, X. Cai, and M. Feemster, "Formation control of multi-agent systems: a graph rigidity approach," John Wiley & Sons, 2019. [DOI:10.1002/9781118887455]
4. [4] H. S. Ahn, Formation Control, Springer, 2020. [DOI:10.1007/978-3-030-15187-4]
5. [5] J. Zhang, Y. Yao, J. A. Wang, Z. Li, P. Feng, and W. Bai, "Distributed bipartite output formation control for heterogeneous discrete-time linear multi-agent systems," IEEE Access, Vol. 12, pp. 18901-18912, 2024. [DOI:10.1109/ACCESS.2024.3361808]
6. [6] S. P. Bhat and D. S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM Journal on Control and Optimization, vol. 38, no. 3, pp. 751-766, 2000. [DOI:10.1137/S0363012997321358]
7. [7] S. Ding, S. Li, and Q. Li, "Stability analysis for a second-order continuous finite-time control system subject to a disturbance," Journal of Control Theory and Applications, vol. 7, no. 3, pp. 271-276, 2009. [DOI:10.1007/s11768-009-8015-4]
8. [8] C. Yan, W. Zhang, H. Su, and X. Li, "Adaptive bipartite time-varying output formation control for multiagent systems on signed directed graphs," IEEE Transactions on Cybernetics, vol. 52, no. 9, pp. 8987-9000, 2021. [DOI:10.1109/TCYB.2021.3054648]
9. [9] X. Gong, J. J. R. Liu, Y. Wang, and Y. Cui, "Distributed finite-time bipartite consensus of multi-agent systems on directed graphs: Theory and experiment in nanoquadcopters formation," Journal of the Franklin Institute, vol. 357, no. 16, pp. 11953- 11973, 2020. [DOI:10.1016/j.jfranklin.2019.12.045]
10. [10] Y. Cai, H. Zhang, J. Zhang, R. Xi, and Q. He, "Fully distributed bipartite time‐varying formation control for uncertain linear multi‐agent systems under event‐triggered mechanism," International Journal of Robust and Nonlinear Control, vol. 31, no. 11, pp. 5165-5187, 2021. [DOI:10.1002/rnc.5532]
11. [11] G. A. Pavlopoulos, P. I. Kontou, A. Pavlopoulou, C. Bouyioukos, E. Markou, and P. G. Bagos, "Bipartite graphs in systems biology and medicine: a survey of methods and applications," GigaScience, vol. 7, no. 4, pp. 1-31, 2018. [DOI:10.1093/gigascience/giy014]
12. [12] J. Liang, X. Bu, L. Cui, and Z. Hou, "Data-driven bipartite formation for a class of nonlinear MIMO multiagent systems," IEEE Transactions on Neural Networks and Learning Systems, vol. 34, no. 6, pp. 3161-3173, 2021. [DOI:10.1109/TNNLS.2021.3111893]
13. [13] W. Wang, W. Zhang, C. Yan, and Y. Fang, "Distributed adaptive bipartite time-varying formation control for heterogeneous unknown nonlinear multi-agent systems," IEEE Access, Vol. 9, pp. 52698-52707, 2021. [DOI:10.1109/ACCESS.2021.3068966]
14. [14] X. Zhang, J. Wu, X. Zhan, T. Han, and H. Yan, "Observer-based adaptive bipartite time-varying formation tracking of multi-agent system with bounded unknown input," International Journal of Control, Automation and Systems, Vol. 20, No. 12, pp. 3969-3978, 2022. [DOI:10.1007/s12555-022-0135-3]
15. [15] Y. Yang, D. Chen, Q. Liu, S. Gorbachev, and V. Kuzin, "Bipartite time-varying prescribed range formation control for a class of nonlinear multiagent systems with unknown disturbances," IEEE Systems Journal, Vol. 17, No. 2, pp. 1899-1908, 2023. [DOI:10.1109/JSYST.2022.3215853]
16. [16] C. Altafini, "Consensus problems on networks with antagonistic interactions," IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 935-946, 2012. [DOI:10.1109/TAC.2012.2224251]
17. [17] S. P. Bhat and D. S. Bernstein, "Continuous finite-time stabilization of the translational and rotational double integrators," IEEE Transactions on Automatic Control, vol. 43, no. 5, pp. 678-682, 1998. [DOI:10.1109/9.668834]
18. [18] Y. Shen and Y. Huang, "Uniformly observable and globally lipschitzian nonlinear systems admit global finite-time observers," IEEE Transactions on Automatic Control, vol. 54, no. 11, pp. 2621-2625, 2009. [DOI:10.1109/TAC.2009.2029298]
19. [19] W. Ford, Numerical Linear Algebra With Applications: Using MATLAB, Academic Press, 2014.
20. [20] H. K. Khalil, Nonlinear Systems, 3rd ed., Patience Hall, 2002.
21. [21] Y. Feng, X. Yu, and Z. Man, "Non-singular terminal sliding mode control of rigid manipulators," Automatica, vol. 38, no. 12, pp. 2159-2167, 2002. [DOI:10.1016/S0005-1098(02)00147-4]

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