Design of variable structure controller for hypersonic coupled vehicle system

A correlational large-scale system model for coupled hypersonic vehicle system with mismatched uncertainties is given firstly. Then its sliding-mode and variable structure controller are designed based on Lyapunov stabilization theory and Riccati equation of the generalized correlational large-scale system. It is proved that the designed variable structure controller makes the sliding-mode satisfy the reachability condition, and the correlational large-scale system is global structural asymptotic stability. The selection algorithm for the controller is given by employing Frobenius-Perron theorem. The designed controller is used to simulate the given bank-to-turn command in hypersonic flight. The simulation results show that the control system can achieve the bank-to-turn motion and guarantee the stability of the hypersonic vehicle.