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By combining nonlinear model predictive static programming 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, where the negative profile solution provides relatively less control command magnitude at switch over time (i.e. time when the guidance is switched to dynamic inversion control) than guidance with the positive profile. However, the positive profile is more feasible for ballistic missile capability. The choice between the two 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 although the motor total impulse (i.e. the area under the thrust ~ time curve) is not constant, 2) it can be implemented online due to its closed form nature, with less computational difficulties. The numerical simulations demonstrate the advantages above.

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