This paper deals with large-scale interconnected systems with general network topology, affected by external disturbances, and with the possibility to ensure the overall stability when some sufficient conditions are met by each agent with respect to its neighbors. We introduce the notion of scalable Mesh Stability (sMS), that requires the existence of trajectory bounds that do not depend on the number of subsystems. The immediate consequence is that perturbations originating in a point of the interconnected system do not amplify through it. A numerical example on interconnection of microgrids shows the interest and the effectiveness of the theoretical result.
We investigate the possibility to use macroscopic information to improve control performance of a vehicular platoon composed of autonomous vehicles. A general mesoscopic traffic modeling is described, and a closed loop String Stability analysis is performed using Input-to-State Stability (ISS) results. Examples of mesoscopic control laws are provided and shown to ensure String Stability properties. Simulations are implemented in order to validate the control laws and to show the efficacy of the proposed approach.
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