ROBUST SYNTHESIS VIA BILINEAR MATRIX INEQUALITIES

The mu/K-m-synthesis formulation for robust controller synthesis with frequency dependent scalings/multipliers is shown to be equivalent to a bilinear matrix inequality (BMI) feasibility problem. Formulating th e non-convex mu/K-m-synthesis problem as a BMI problem allows local jo int controller and multiplier synthesis using finite dimensional LMI-l ike optimization methods and also the application of global optimizati on techniques. The BMI approach improves on the standard D,G-K-iterati on, M-K-iteration approaches to mu/K-m-synthesis, and additionally all ows controller order and structure constraints.