Game-Based Feedback Control Design Toward Dynamic Energy Market

In the modern power grids, the energy market has been developing rapidly, along with the growth of multi-energy combined tradings. Consequently, studies of interactions behaviours between various agents (e.g., game theory) in the energy market becomes prevalent to properly analyze and regulate the energy market. However, most of existing works have been focusing on the equilibria analysis of static games, and little works have been done regarding designing feedback control on dynamic games, particularly when the system dynamics changes under disturbances. In this paper, a novel game-based feedback control design method is proposed using semi-tensor product (STP) of matrices. The state-space equations of the dynamic game is firstly derived considering the decision logics and interactive correlations between various agents in the energy market. Then, a novel set of mathematical derivations has been proposed to implement control on some agents such that the price of the energy market can be regulated despite of randomly changing states and potential disturbances to the decision making. Finally, a simulated energy market using the proposed STP game-based control is demonstrated, where the results are discussed and the effectiveness of the proposed method is validated.