Linear quadratic optimization is applied to an ideal vehicle without kinematics linearization for exoatmospheric vector guidance interception. Adopting an idea from bounded control approach, a linear guidance law is presented, where time to go is calculated either open-loop or as the smallest positive real root of a quartic polynomial equation. In the later case, feeding the time to go back into the linear guidance law results in a nonlinear guidance law. As a consequence, a nonlinear closing speed is used, suitable even in case the range diverges for some limited period of time. Moreover, a dispersal surface is presented that separates “first-pass” interception (in which the range decreases throughout the flight) from “second-pass” interception (in which the range decreases, increases, and finally decreases).
Exoatmospheric Interception via Linear Quadratic Optimization
Journal of Guidance, Control, and Dynamics ; 42 , 3 ; 624-631
2019-01-22
8 pages
Article (Journal)
Electronic Resource
English
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