Abstract
This work presents a method based on the application of optimization theory to minimize time for consensus in multi-agent systems. More specifically, the Nelder–Mead algorithm, modified for constrained problems, is utilized to compute an optimum matrix gain that minimizes time in an objective function related to consensus time. The paper presents the problem formulation, simulations, and results that prove the efficiency of optimization methods for this class of application.
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Notes
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Acknowledgements
To SENAI Innovation Institute for Microelectronics, FAPEAM(PROTI MOBI-LIDADE 009/2017), INCT(CNPq 465755/2014-3) and FAPESP(2014/50851-0).
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dos Santos Junior, C.R.P., Carvalho, J.R.H., Savino, H.J. (2020). A Optimization Approach for Consensus in Multi-agent Systems. In: Jezic, G., Chen-Burger, YH., Kusek, M., Šperka, R., Howlett, R., Jain, L. (eds) Agents and Multi-agent Systems: Technologies and Applications 2019. Smart Innovation, Systems and Technologies, vol 148. Springer, Singapore. https://doi.org/10.1007/978-981-13-8679-4_7
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