Robust adaptive multivariable bi-limit homogeneous higher-order sliding mode flight control for AHVs with actuator faults

This paper presents an adaptive multivariable bilimit homogeneous higher-order sliding mode control (HOSMC) for the longitudinal model of an air-breathing hypersonic vehicle (AHV) under system uncertainties and actuator faults. First, a bi-limit homogeneous finite-Time control law is designed for a chain of integrators. Second, based on the input/output feedback linearization technique, the system uncertainties and external disturbances are modeled as additive uncertainty, while the actuator faults are modeled as multiplicative uncertainty. By using the proposed bi-limit homogeneous finite-Time control law, a robust multivariable HOSMC is designed for the AHV with actuator faults. Finally, adaptive laws are proposed for the adaptation of the parameters within the robust multivariable HOSMC context. Thus, the bounds of the uncertainties are no longer needed in the control system design. Simulation results show the effectiveness of the proposed robust adaptive bi-limit homogeneous multivariable HOSMC.