Robust zero miss distance guidance for missiles with parametric uncertainties

This paper presents a robust guidance law, which renders zero miss distance (ZMD) against deterministically or randomly maneuvering targets for all missile parametric uncertainties. The structured uncertainties in missile dynamics are, modeled by interval transfer functions. It is shown that for the nominal case, when the total missile transfer function is positive real, ZMD can be obtained. When uncertainties are considered, the problem converges to the design of a guidance controller which renders a family of transfer functions positive real. A new algorithm for the design of such a controller is proposed. An example illustrating a typical design procedure is given, showing the simplicity and effectiveness of the proposed guidance