Resumen: A key problem in multi-agent systems is the distributed estimation of the localization of agents in a common reference from relative measurements. Estimations can be referred to an anchor node or, as we do here, referred to the weighted centroid of the multi-agent system. We propose a Jacobi Over—Relaxation method for distributed estimation of the weighted centroid of the multi-agent system from noisy relative measurements. Contrary to previous approaches, we consider relative multidimensional measurements with general covariance matrices not necessarily diagonal. We prove our weighted centroid method converges faster than anchor-based solutions. We also analyze the method convergence and provide mathematical constraints that ensure avoiding ringing phenomena. Idioma: Inglés DOI: 10.1109/TCNS.2020.2972595 Año: 2020 Publicado en: IEEE Transactions on Control of Network Systems 7, 3 (2020), 1272-1282 ISSN: 2325-5870 Factor impacto JCR: 3.502 (2020) Categ. JCR: COMPUTER SCIENCE, INFORMATION SYSTEMS rank: 61 / 161 = 0.379 (2020) - Q2 - T2 Categ. JCR: AUTOMATION & CONTROL SYSTEMS rank: 24 / 63 = 0.381 (2020) - Q2 - T2 Factor impacto SCIMAGO: 1.956 - Computer Networks and Communications (Q1) - Signal Processing (Q1) - Control and Systems Engineering (Q1) - Control and Optimization (Q1)