Multiple-missile fixed-time integrated guidance and control design with multi-stage interconnected observers under impact angle and input saturation constraints

Abstract

In this paper, a novel three-dimensional fixed-time integrated guidance and control (IGC) scheme with multi-stage interconnected observers is proposed for cooperative attacks using multiple missiles against a maneuvering target under impact angle and input saturation constraints. External disturbances, modeling errors, and aerodynamic parameter variations are considered as system uncertainties and a three-channel fully coupled IGC model for multiple missiles is established. The IGC system is designed optimally based on fixed-time stability theory, sliding mode control, and the backstepping technique. Three inter-cascaded fixed-time disturbance observers based on an improved super-twisting algorithm are designed to estimate and compensate for system uncertainties. Second-order command filters are used to constrain virtual control signals, and additional filtering error subsystems are introduced to compensate for the tracking errors of filters. System stability and uniformly ultimately fixed-time boundedness of all states are proven using the Lyapunov stability theory. Finally, the limits of the acceleration components of the maneuvering target perpendicular to the line of sight direction are derived. The effectiveness of the designed IGC scheme and the ability of multi-stage interconnected observers to sense disturbances with each other are verified through simulations.