Three-dimensional guidance law with terminal angle constraint based on multivariable super-twisting sliding mode
A three-dimensional guidance law for maneuvering targets based on super-twisting sliding mode control is proposed.Firstly,a novel multi-variable super-twisting sliding mode algorithm is proposed,and its finite-time stability is proved based on the Lyapunov stability theory.The quantitative analysis of the convergence time is also carried out.Secondly,the missile-target relative kinematics in a three-dimensional engagement scenario is established,and the guidance law design is transformed into a control problem of second-order multi-variable system.Thirdly,a three-dimensional guidance law with terminal angle constraint is designed based on the improved multi-variable super-twisting sliding mode algorithm.Finally,the effectiveness of the proposed method is verified through comparative simulations and Monte Carlo simulation.
three-dimensional guidanceterminal angle constraintsuper-twisting algorithmmultivariable sliding modeconvergence timemulti-variable system