Using Iterative residual-based method for modular privacy-preserving requirement in hierarchical control framwork
Résumé
This paper investigates the use of fixed-point Anderson method (AM) to a recently proposed hierarchical control framework [1]. In the previous works, the synthesis of a filter that ensures the convergence of fixed-point iteration is made by using the mathematical knowledge of subsystems, which violates the privacy-preserving requirement for the coordinator at the upper layer. Due to its model-free property, the AM-based resulting hierarchical framework becomes more generic since no mathematical model of the subsystems at the lower layer is required at the upper coordinator layer. Numerical results are proposed to evaluate the effectiveness of this approach in showing that the AM could converge faster in some cases where the filter is not compatible with the model.