Integrated guidance and control system design for laser beam riding missiles with relative position constraints

A finite time disturbance observer-based barrier Lyapunov function integrated guidance and control law (FTDO-BLF) is proposed for laser beam riding missiles with relative position constraints in this paper. Firstly, the laser beam riding missile's model is formulated, in which the mismatched uncertainties including disturbances and system perturbations are considered. Secondly, the relative position constraints are introduced to design the barrier Lyapunov function integrated guidance and control law (BLF), and the finite time disturbance observer (FTDO) is utilized for estimating and compensating the mismatched uncertainties to the BLF. Thirdly, the stability of FTDO-BLF is proved, and its superiority is demonstrated by the simulation completed under different cases. Consequently, the proposed FTDO-BLF attenuates the disturbances effectively and is robust against white noise without violating the relative position constraints.