A GAME THEORETICAL CONTROL TO MULTIMACHINE INTERCONNECTED SYSTEM

摘要

This paper investigates a game theoretical approach to solve a synchronization problem in a multimachine interconnected system. A non-cooperative nonzero sum is considered with the interconnected system viewed as a multiplayer system where each player optimizes his/her cost function. A non-linear stochastic finite-horizon system, with full-state feedback is analyzed through higher-order cost function optimization using Hamilton-Jacobi-Bellman (HJB) equations. The necessary condition for the existence of equilibrium condition and the optimal player strategy are stated and derived. The effectiveness of the proposed method is illustrated by solving a three-machine interconnected power system.