Generalized Nash equilibrium and its application to DC microgrids

This research project can roughly be divided into two parts, one part aims at designing an appropriate distributed algorithm for an aggregate game theoretic problem which contains the aggregate variables, global constrains and random variable, etc. Another part will focus on how to apply the designed algorithm to the direct current (DC) micro-grid control problem. Furthermore, since such distributed algorithm is applicable in a multi-agent systems (MAS) or complex dynamical networks setting, the mathematical models for a network topology, communication reliability and restricted bandwidth also are relevant topics in this research.