Robust Model Predictive Control Based on Polytopic LPV Model for Hypersonic Vehicles

Considering the air-breathing hypersonic vehicle (AHV) system with strong nonlinearity and external disturbance, an off-line robust model predictive controller (RMPC) is presented based on the polytopic LPV model under the effects of disturbances. Firstly, Jacobian linearization and tensor-product modeling method are used to approximately transform the nonlinear AHV system into a polytopic LPV model, which provides the condition to establish the RMPC controller by linear matrix inequality (LMI). Secondly, the application of normbounding technology makes the errors between real-time states with disturbance and the reference setpoint states restricted into an invariant ellipsoid. Simulation has demonstrated the effectiveness of the proposed approach.