Output agreement in networks with unmatched disturbances and algebraic constraints
For control theorists and engineers, this work extends output agreement theory to more realistic network models with unmatched disturbances and algebraic constraints.
This paper addresses output agreement in heterogeneous networks with unmatched disturbances and algebraic constraints, showing that dynamic feedback controllers achieve output agreement on a desired vector, with application to a heterogeneous microgrid.
This paper considers a problem of output agreement in heterogeneous networks with dynamics on the nodes as well as on the edges. The control and disturbance signals entering the nodal dynamics are "unmatched" meaning that some nodes are only subject to disturbances, and are deprived of actuating signals. To further enrich our model, we accommodate (solvable) algebraic constraints in a subset of nodal dynamics. We show that appropriate dynamic feedback controllers achieve output agreement on a desired vector. We also investigate the case of an optimal steady-state control over the network. The proposed results are applied to a heterogeneous microgrid.