DETSOC Transactions on Industry Applications


DETSOC Transactions on Industry Applications

A Robust Guaranteed Cost Formation Control for a Class of Uncertain Multi-Agent Systems for Event-Trigger-Based Variable Gain Controllers

Daiki Asada (Tokyo City University, Japan)
Hidetoshi Oya (Tokyo City University, Japan)
Shunya Nagai (National Institute of Technology (KOSEN), Niihama College, Japan)
Yoshikatsu Hoshi (Tokyo City University, Japan)
Publisher: Dubai Electro Technical Society
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Editor-in-Chief

Dr. Mohsen Imanieh 
editor-in-chief@detsoc.org


Abstract:

In this paper, we propose a design method for a new event-trigger-based variable gain robust controller which achieves both consensus and guaranteed cost performance for a class of uncertain multi-agent systems (MASs) with the leaderfollower structure. The proposed variable gain robust controller is composed of stabilizing state feedback laws, state feedback inputs for consensus, and compensation inputs with adjustable parameters, and is designed for giving consideration to relative positions explicitly. In this paper, we show that sufficient conditions for the existence of the proposed robust guaranteed cost formation controller are given in terms of Linear Matrix Inequalities (LMIs). Finally, a simple example is included.
Published in: Dubai Electro Technical Society Transactions on Industry Applications ( Volume: 01, Issue: 1, Sept. 2024)
Authors:
1. Daiki Asada (Tokyo City University, Japan)
2. Hidetoshi Oya (Tokyo City University, Japan)
3. Shunya Nagai (National Institute of Technology (KOSEN), Niihama College, Japan)
4. Yoshikatsu Hoshi (Tokyo City University, Japan)
References:
1. Y. Lia and C. Tan,”A survey of the consensus for multi-agent systems,”Systems Science & Control Engineering An Open Access Journal, Vol. 7, No. 1, pp. 468–482, 2019.
2. G. Zhai, S. Okuno, J. Imae, T. Kobayashi,”A matrix inequality based design method for consensus problems in multi–agent systems,” International Journal of Applied Mathematics and Computer Science, Vol. 19, No. 4, pp. 639–646, 2009.
3. W. Caoa, J. Zhang and W. Renb,”Leader–Follower Consensus of Linear Multi-Agent Systems with Unknown External Disturbances,”Systems & Control Letters, Vol. 82, pp.64-70, 2015.
4. X. Wang, S. Li, J. Lamc,”Distributed Active Anti-Disturbance Output Consensus Algorithms for Higher-Order Multi-Agent Systems with Mismatched Disturbances,” Automatica, Vol. 74, pp. 30-37, 2016.
5. Q. Wei, X. Wang, X. Zhon, N. Wu,”Consensus Control of LeaderFollowing Multi-Agent Systems in Directed Topology With Heterogeneous Disturbances,” IEEE/CAA Journal of automatica sinica, Vol. 8, No. 2, pp. 423-431, 2021.
6. S. Ito, K. Ohara, Y. Hoshi, H. Oya and S. Nagai, ”A Robust Formation Control Strategy for Multi Agent Systems with Uncertainties via Adaptive Gain Robust Controllers,” International Journal of Engineering and Technology Innovation, Vol. 11, No. 2, pp. 71-87, 2021.
7. J. Gao, D. Tian and J. Hu, ”Event-Triggered Cooperative Output Regulation for Heterogeneous Multi-Agent Systems With an Uncertain Leader,” IEEE Access, vol. 7, pp. 174270-174279, 2019.
8. X. Li and S. Hirche, ”Event-Triggered Consensus of Multi-Agent Systems on Strongly Connected Graphs,” Proc. of the 57th IEEE Conference on Decision and Control (CDC 2018), Miami Beach, FL, USA, Dec. 17-19, pp. 1311-1316, 2018.
9. DV. Dimarogonas, E. Frazzoli, and K. H. Johansson, ”Distributed EventTriggered Controlfor Multi-Agent Systems, ” IEEE Trans. Automat. Contr., Vol. 57, No. 5, pp. 1291-1297 (2012)
10. D. Asada, T. Nakagawa, Y. Hoshi and H. Oya, ”A Formation Control for Multi-Agent Systems for Event-Trigger-Based Variable Gain Controllers,” Proc. of the 49th Annual Conference of the IEEE Industrial Electronics Society (IECON2023), pp. 1-6, SINGAPORE, 2023.
11. S. Azuma, M. Nagahara, H. Ishii, N. Hayashi, K. Sakurama and T. Hatanaka, ”Control of multi-agent systems, ” CORONA PUBLISHING CO.,LTD, 2015. (In Japanese)
12. T. Namerikawa, ”Control Theoretical Approach to Multi-Agent Problems,” IEICE Tech-nical Report NC2008-1, pp. 1-6, 2008. (In Japanese)
13. S. Hayakawa, T. Nakagawa, K. Hasegawa, H. Oya and Y. Hoshi, “Synthesis of Adaptive Gain Robust Model-Following/Tracking Controllers for a Class of Uncertain Systems via Piecewise Lyapunov Gunctions,” Int. J. of Contr., pp. 1-8 (2023)
14. H. Oya, S. Hayakawa, S. Nagai and K. Nakano, ”A New LMI-Based Non-Iterative Design Method for Static Output Feedback Controllers for Linear Systems,” Proc. of the 25th Int. Conf. on Mechatronics Technology (ICMT2022), Hanoi, VIETNUM, pp. 1-4, 2022.
15. H. Oya, T. Nakagawa, S. Nagai and K. Nakano, ”LMI-Based NonIterative Design Strategies for Guaranteed Cost Static Output Feedback Control for Linear Systems,” Proc. of the 5th International Conference on Electrical, Control and Instrumentation Engineering (ICECIE2023), KualaLumpur, MALAYSIA, pp. 1-4, 2023.
Page(s): 24-30
Date of Publication: 19 September 2024
Publisher: DETSOC
ISSN: 3079-3025

Meet the Editor

Editor-in-Chief

Dr. Mohsen Imanieh 
editor-in-chief@detsoc.org