Miss Distance Analysis of Proportional Navigation Strategy with Acceleration and Body Rate Feedback using Adjoint Method

This paper presents analytical solution of miss distance of a proportional navigation (PN) modified with body rate and lateral acceleration feedback using adjoint method in the presence of radome effect and seeker noise. The control system dynamics is modeled by a first-order transfer function. Therefore, the transfer function from line-of-sight rate to lateral acceleration is derived as a first-order transfer function, for which the equivalent time constant and gain are obtained in terms of radome slope and guidance coefficients. Consequently, the miss distance relations due to radome slope and seeker noise are obtained in terms of the radome slope and the acceleration and its rate feedback. The resulting relations are verified using statistical analysis. Moreover, the guidance law coefficients are designed as variables to enhance the PN performance, thereby increasing the stability region and reducing the miss distance.