Robust Model Predictive Control for hypersonic vehicle based on LPV

For the complicated aerodynamics characteristic and severely uncertainty of nonlinear model of a hypersonic vehicle, a novel Model Predictive Controller design methodology based on Linear Parameter-Varying was developed. Firstly, the nonlinear model was transformed into Linear Parameter- Varying form by Jacobian linearization of nonlinear plant about a family of equilibrium points. And then the ploytopic decomposition of LPV models was obtained by tensor-product model transformation method. So the robust controller can be calculated at every sampling time instant, by convex optimization involving LMIs in MPC. The control system of the hypersonic vehicle developed by this method not only avoided the complex design process of nonlinear method, but also restrained the effects of model parameter changes in complicated fight conditions. Therefore, it can provide the longitudinal stability for hypersonic vehicle. The numerical simulation results proved availability of the proposed method.