Abstract

Abstract: 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.

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