Robust control analysis and synthesis based on finite frequency properties

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