Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem.pdfVIP

Applied Mathematics and Computation 282 (2016) 226–236 Contents lists available at ScienceDirect Applied Mathematics and Computation journal homepage: /locate/amc Generalized multi-synchronization viewed as a multi-agent leader-following consensus problem Rafael Martínez-Guerra?, Christopher D. Cruz-Ancona, Claudia A. Pérez-Pinacho Departamento de Control Automático, CINVESTAV-IPN, Av. IPN 2508, Col. San Pedro Zacatenco, Ciudad de México instead of D.F 07360, México article info Keywords: Generalized multi-synchronization Leader-following consensus Generalized Observability Canonical Form Multi-output Differential primitive element Dynamic consensus protocol abstract The work presents the generalized multi-synchronization of strictly different chaotic systems problem as a multi-agent leader-following consensus problem with ?xed and not strongly connected topology from a differential algebra point of view. This problem is solved by using the differential primitive element as a linear combination of state measurements and control inputs from which it is possible to construct a family of transformations to carry out the multi-agent systems to a Generalized Observability Canonical Form Multi-output (GOCFM). Moreover, a dynamic consensus protocol is designed such that the states of the followers asymptotically converge to the state of the leader. ? 2016 Elsevier Inc. All rights reserved. 1. Introduction In general, a group composed of multiple interacting dynamical systems (agents) is referred to as Multi-Agent Systems (MAS). It is required that from this interaction, agents coordinate their behavior or agree upon some variable of interest. In this framework, consensus means that MAS have reached an agreement on a variable of interest that depends on the state of all agents due to a speci?ed interaction algorithm for information exchange known as consensus protocol. The main objective of this protocol is to impose similar dynamics on the states of each agent. Consensus p