Impact angle control guidance law using lyapunov function and PSO method

New guidance law, based on Lyapunov stability theory and applied parameter optimization method, is proposed, which can minimize miss distance and adjust impact angle to predefined value. Using LOS angle and predefine impact angle, we define the state variables and propose a lyapunov function candidate for driving structure of the guidance law and conditions of gain parameters. The PSO algorithm is used for selecting the guidance gains, which satisfies the necessary condition of stability of the guidance loop. This new guidance law has simple structure, shows robustness about different engagement conditions, and provides wider capture area than conventional algorithm considering impact angle only.