Fixed-Time Guidance Law for Multiple Missiles with Impact Angle Constraint Against Maneuvering Target

For the problem of coordinated interception of maneuvering targets by multiple missiles in three-dimensional space, this paper proposed a consensual control method based on the theory of fixed-time convergence. The method combines the generalized consensus error and Integral sliding mode control to effectively deal with the target acceleration interference and realize the convergence of the Time-to-go of the formation members in fixed time. In the direction normal to the line of sight, a fixed-time non-singular fast terminal sliding control approach is designed to solve the terminal-guidance problem with an impact angle constraint, and the convergence of the system is proved by Lyapunov stability theory. It is verified by simulation that the algorithm demonstrates fastness and accuracy in three-dimensional cooperative interception, which can make the system converge in fixed time for both the time-to-go time and the line-of-sight angle.