2012/10/25 by Stefano Riverso, Marcello Farina, Riverso, Stefano +3
Engineering · Medicine · #Advanced Control Systems Optimization #Cardiovascular Function and Risk Factors #FOS: Electrical engineering #FOS: Mathematics #Fuel Cells and Related Materials #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1210.6927
openalex publication_date 2012/10/25 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In this paper we consider a linear system represented by a coupling graph\nbetween subsystems and propose a distributed control scheme capable to\nguarantee asymptotic stability and satisfaction of constraints on system inputs\nand states. Most importantly, as in Riverso et al., 2012 our design procedure\nenables plug-and-play (PnP) operations, meaning that (i) the addition or\nremoval of subsystems triggers the design of local controllers associated to\nsuccessors to the subsystem only and (ii) the synthesis of a local controller\nfor a subsystem requires information only from predecessors of the subsystem\nand it can be performed using only local computational resources. Our method\nhinges on local tube MPC controllers based on robust control invariant sets and\nit advances the PnP design procedure proposed in Riverso et al., 2012 in\nseveral directions. Quite notably, using recent results in the computation of\nrobust control invariant sets, we show how critical steps in the design of a\nlocal controller can be solved through linear programming. Finally, an\napplication of the proposed control design procedure to frequency control in\npower networks is presented.\n