Robust H∞ performance analysis framework for a missile terminal guidance system

In this paper, robust H_infin-like performance of a missile terminal guidance system that incorporates non-zero initial conditions and terminal constraints is analyzed over a finite horizon. This is done by defining a worst-case performance measure. Necessary and sufficient conditions, which guarantee that the above mentioned performance measure is less than a prespecified value, are given in terms of solvability of differential linear matrix inequalities (DLMI). Finally, based on the new H_infin metric, many uncertainties such as target maneuvers, heading error, and parameter variations in the missile terminal guidance are fully considered. Therefore, a more accurate performance prediction is obtained in contrast to covariance analysis.