This paper addresses the problem of formation control and tracking a of desired trajectory by an Euler-Lagrange multi-agent systems. It is inspired by recent results by and adopts an event-triggered control strategy to reduce the number of communications between agents. For that purpose, to evaluate its control input, each agent maintains estimators of the states of the other agents. Communication is triggered when the discrepancy between the actual state of an agent and the corresponding estimate reaches some threshold. The impact of additive state perturbations on the formation control is studied. A condition for the convergence of the multi-agent system to a stable formation is studied. Simulations show the e ectiveness of the proposed approach.
This paper is focused on the formation control of multi-agent systems (MAS). A new control law based on event-driven strategies is presented. The agents with any initial position can reach the desired formation and target under such control law. Formability of MAS depends on several key factors: the agents' dynamic structures, the connectivity topology, the properties of the desired formation and the admissible control set. The control actuation updates considered in this paper are event-driven, depending on the ratio of a certain measurement error with respect to the norm of a function of the state. Existing results on distance-based rigid formation stabilization commonly require continuous measurements and control update. In this paper, we consider an event-triggered scheme for distance-based formation control problem. We prove the local exponential stability of this event-driven system for stabilizing formations which are infinitesimally and minimally rigid. Furthermore, we prove that Zeno-behavior does not exist and obtain a strict positive lower bound in the inter-event time. Simulations are also provided to verify the proposed controller. This paper discusses generalized controllers for rigid formation shape stabilization. We provide unified analysis to show convergence using different controllers reported in the literature, and further prove an exponential stability of the formation system when using the general form of shape controllers. We also show that different agents can use different controllers for controlling different distances to achieve a desired rigid formation, which enables the implementation of heterogeneous agents in practice for formation shape control. We further propose an event-triggered rigid formation control scheme based on the generalized controllers. The triggering condition, event function and convergence analysis are discussed.