Robust LPV control design using the gap metric

A new robust linear parameter-varying (LPV) controller design method based on gap-metric was presented for the wide flight envelope and strong model parameters uncertainties of hypersonic vehicle. A new convex decomposition strategy with the optimal gap-metric was proposed. In order to reduce the conservativeness of the controller, self-scheduled LPV control was implemented using the new strategy. Vertex models of the polytopic LPV system were solved considering the model parameters uncertainties to improve the robustness of the controller nearby the vertex boundary. The new design approach was applied to the hypersonic vehicle. Simulation results show that this new method can reduce the conservativeness of traditional LPV controllers. The command tracking and robustness of the LPV control system are in satisfactory performances. The robust performance and stability of the system under strong parameters uncertainties are also guaranteed.