Optimal control of singular large-scale linear systems

This paper states the hierarchical strategy of singular large-scale linear system in which, the system is composed of] singular linear subsystems with interconnection. The two-level optimization conditions based on Interaction Prediction Method (IPM) are derived such that each isolated subsystem is optimized. Based on the classical optimization and relevant theories, a nonlinear state feedback controller is designed for each subsystem, such that the whole closed loop singular large-scale system is optimized. Finally, a numerical example is given to confirm the analytical results and illustrate the effectiveness of the proposed method.