Robust Gain-Scheduling Control with Guaranteed Performance*

Robust Gain-Scheduling (RGS) control synthesis conditions are developed in this paper. Differently from most existing literature in gain-scheduling control, the derived conditions assume scheduling parameters are inexactly measured. This is a realistic assumption for practical control applications. Sufficient conditions in terms of Parametrized Bilinear Matrix Inequalities (PBMIs) for synthesizing dynamic output-feedback controllers with guaranteed H∞ performance are given. The resulting controller not only guarantees robust stability and H∞ performance but also ensures robustness against scheduling parameter uncertainties. An numerical example is presented to demonstrate the effectiveness of the developed approach and compare with existing approaches from literature.