A BMI Approach to Robust Controller Design for Systems with Real Parametric Uncertainties

In this work, we propose two robust controller design methods based on new iterative schemes for the systems with real parametric uncertainties. The methods are derived on the basis of a recently developed method for computing optimal stability multipliers. The salient property that there is no need to choose the poles of the multipliers a priori is retained. Beside the benefit of that the controller order would not increase without bounds, a hybrid combination of the proposed methods is possible. Comprehensive comparisons of the proposed methods and those designs which mimic the well known D-K iteration are made. A numerical example is given to illustrate the results.