Fault-Tolerant Control for Flexible Air-Breathing Hypersonic Vehicle Based on Tube Robust Model Predictive Control

This paper adopts Tube robust model predictive control (RMPC) approach to achieve the trajectory tracking control for flexible air-breathing hypersonic vehicle (FAHV) with lose efficiency fault of actuator. First of all, Jacobian linearization and tensor-product transformation are used to build the polytopic linear parameter varying (LPV) model for FAHV. Then, the FAHV faulty model is obtained by transforming lose efficiency fault of actuator into the additional disturbance term. Thirdly, fault-tolerant control is realized by composite control law. The error system is obtained by the difference between the actual and the nominal system. By designing the minimum robust positive invariant set (mRPI), the error system state is limited to the mRPI set. The additional disturbance term in mRPI set is suppressed by the auxiliary robust feedback control law. The nominal control law provides a reasonable trajectory for the actual system. And it is calculated by the convex optimization problem, which is constrained by linear matrix inequality (LMI). The fault-tolerant controller guarantees that the actual trajectory is located in the mRPI set all the time and centered on the nominal trajectory. Finally, the designed Tube RMPC controller is validated by simulation.