A Synthesis Method of LTI MIMO Robust Controllers for Uncertain LPV Plants

This technical note presents a complete methodology to design LTI dynamic controllers for Linear Parameter-Varying (LPV) plants, with time-varying (real-valued) parametric and complex-valued uncertainties, using Bilinear Matrix Inequalities (BMIs). These LPV/BMI controllers are able to provide stability- and performance-robustness guarantees against complex- and real-valued uncertainties on the model of the plant, and against time-variations of unmeasured parameters. A comparison between mixed-μ and LPV/BMI controllers is presented and the performance of this new approach is demonstrated in simulation.