On the explicit solution of communication topology design for distributed control of large-scale interconnected systems

Communication networks provide a larger flexibility for the control design of large-scale interconnected systems by allowing the information exchange between the local controllers of the subsystems. This paper presents explicit solutions on communication topology design for interconnected systems with certain class of physical interconnection topology, namely ring, star and line structure based on eigenvalue sensitivity analysis. First, the explicit solutions for the case of scalar subsystems with identical local dynamics and a single communication link are derived. Furthermore, it is investigated how the heterogeneity of the subsystem local dynamics affects the communication topology. Finally it is discussed how the results can be extended to the case of non-scalar subsystems and multiple communication links.