Finite frequency property-based robust control analysis and synthesis

This work derives two linear matrix inequality (LMI) conditions for robust control analysis based on finite frequency properties (FFP) and proposes robust control synthesis based on FFP. Solvability conditions of the synthesis problem are derived in the form of LMI condition adding a rank condition. The conditions are still non-convex due to the existence of the rank condition. However, we can solve the problem by using a more efficient proposed method from the viewpoint of computation.