Parametric Robust H1 Controller Synthesis: Comparison and Convergence Analysis

Recent papers have demonstrated the e ectiveness of our iterative algorithm using linear matrix inequalities (LMI's) on several parametric robust H1 control designs. This paper presents two additional important components to the discussion on the behavior of the new LMI-based iterative algorithm: a comparison study between the LMI synthesis technique and the existing iterative approaches of the complex and mixed =Km synthesis, and a convergence analysis of this new algorithm. The results indicate that the Popov H1 controller synthesis provides a viable alternative for designing real parametric robust controllers and exhibits properties similar to the D{K and D,G{K iteration of the complex and mixed =Km synthesis. The key potential advantage of using the LMI approach is the elimination of the curvetting for the D and G scaling functions.