The prescribed-time observer-based control for the group consensus problems of multi-agent systems is first investigated in this paper. Distributed observers are designed to estimate the state information in any predefined time of physical allowance when the agent is assumed to be not available or unmeasurable. The prescribed-time control protocols including a group projective parameter are presented to achieve group consensus within a predetermined time, which is independent of system parameters and initial values. Based on algebraic graph theory, Lyapunov stability and matrix theory, sufficient conditions of the designed parameters are established to realize prescribed time group consensus under both undirected and directed topology networks. The effectiveness of the proposed approaches is confirmed by simulation verifications.
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This work was supported by the National Natural Science Foundation of China under Grant Nos. 61973137 and 61807016, the Natural Science Foundation of Jiangsu Province under Grant Nos. BK20181342 and BK20171142. The authors express their gratitude to the referee for valuable comments.
Lingfei Dai received his B.S. degree in mathematics and applied mathematics from Jiangsu University, Zhenjiang, China, in 2020. Now, he is a postgraduate student at Jiangnan University. His research interests include the consensus of linear and nonlinear multiagent systems and its applications.
Xin Chen received her B.S. degree in information and computing science from the Jiangnan University, Wuxi, China, in 2020. Now, she is a postgraduate student at Jiangnan University. Her research interests include the consensus of linear and nonlinear multiagent systems and its applications.
Liuxiao Guo received her B.S. and M.S. degrees in mathematics and applied mathematics from the Soochow University, Suzhou, China, in 1997 and 2000, respectively, and her Ph.D. degree in control theory and engineering from the Jiangnan University, Wuxi, China, in 2009. Her research interests include complex dynamical system and control.
Jiancheng Zhang received his Ph.D. degree in control theory and control engineering from Tongji University, Shanghai, China, in 2017. After graduation, he joined Jiangnan University, Wuxi, China, where he is currently a Lecturer. His research interests include biomathematics, network dynamics, unknown input observer design, observer-based fault detection and fault reconstruction, and observer designs for switched systems and T-S fuzzy systems.
Jing Chen received his B.Sc. degree from the School of Mathematical Science and an M.Sc. degree from the School of Information Engineering, Yangzhou University, in 2003 and 2006, respectively, and a Ph.D. degree from the School of Internet of Things Engineering, Jiangnan University in 2013. He is currently a Professor in the School of Science, Jiangnan University. His research interests include processing control and system identification.
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Dai, L., Chen, X., Guo, L. et al. Prescribed-time Group Consensus for Multiagent System Based on a Distributed Observer Approach. Int. J. Control Autom. Syst. 20, 3129–3137 (2022). https://doi.org/10.1007/s12555-021-0834-1
- Distributed observer approach
- group consensus
- multiagent system
- prescribed-time consensus