Fractional Calculus Guidance Law for Intercepting Hypersonic Weapons

Abstract

Aiming at intercepting hypersonic weapons in near space, a novel guidance law was designed to avoid the flaws of the conventional extended proportional guidance law. The definitions of fractional calculus were outlined, difference definition of the fractional differential was introduced in the line with conventional definitions of integer order derivatives of continuous function. On the basis of non-linear proportional and differential guidance law, the fractional calculus guidance law was proposed. According to the motion characteristics of hypersonic weapons and the interception requirements, the quantitative values were proposed for the parameters and the system stability was analyzed. Experimental results demonstrate that the novel guidance law effectively reduces the miss distance. A stronger robustness is displayed comparing to the nonlinear proportional and differential guidance law through experiments under noise condition.