An Online Optimal Explicit Guidance Scheme for Long Range Missiles with Solid Motors

By combining nonlinear model predictive static programming (MPSP) with dynamic inversion control, a hybrid robust explicit guidance scheme is developed for long range missiles with solid motors. The developed guidance technique can produce two successful guidance command profiles: a positive profile and a negative profile. The negative profile solution provides relatively less control command magnitude than guidance with the positive profile at the switch over time, where the guidance is switched from MPSP to dynamic inversion control. However, the drawback of dynamic inversion control is the high amount of control command magnitude at the switch over time. The choice between the positive and negative profiles will depend on the constraints of the missile capability and mission requirement. The advantages of the developed guidance method are: 1) it is insensitive to energy uncertainties (variable burnout time and fluctuation in the total impulse); 2) it can be implemented online due to its less computational difficulties. The numerical simulations demonstrate the advantages above.