H_∞Optimal Load Frequency Control of Power System: A Novel Model-Free Approach

This brief addresses the model-free output feedback (OPFB) stability problem in load frequency control (LFC) of power system and proposes an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> optimal control scheme considering two-player zero-sum game. Firstly, a novel policy iteration algorithm is developed to determine the optimal control gain. The convergence of this algorithm can be established using Fréchet derivatives. Secondly, a model-free adaptive dynamic programming (ADP) algorithm is introduced, which leverages measured data to learn the optimal gain without relying on model parameters. Finally, simulation results confirm the feasibility of the proposed algorithm.