Finite-time Simultaneous-Arrival-To-Origin Sliding Model Control for Multi-missile Systems

This paper investigates the problem of multiple missiles attacking a fixed target coordinately. Different from the residual time cooperative control algorithm, direct relative distance control algorithm is designed in this paper. A finite-time simultaneous-arrival-to-origin (SATO) sliding mode control (SMC) algorithm for multi-missile systems (MMSs) is proposed. It is shown that the proposed algorithm can eliminate the singularity problem. Each missile under the algorithm can strike fixed targets simultaneously in finite-time. The stability of proposed algorithm is proved by Lyapunov approach. Besides, simulation results are given to demonstrate the effectiveness of proposed algorithm.