General Autopilot Design for BTT Missile by Generalized Linear Quadratic Gaussian / Loop Transfer Recovery Method

Abstract

In this paper, a general autopilot design is originally proposed by using a generalized Linear Quadratic Gaussian and Loop Transfer Recovery (LQG/LTR) method for a Bank-To-Turn (BTT) missile. In a two-step design procedure the Kalman filter design for both minimum-phase and non-minimum phase systems is first unified in shaping the target loop function process. And then an optimal control law with both feedforward and state-feedback controllers is derived to minimize a generalized linear quadratic performance index for both minimum-phase system and non-minimum phase one as well. The proposed controllers have a prescribed degree of stability even in the case of nonminimum phase problem. Finally, the numerical simulations for a coordinated BTT missile demonstrate that the proposed method has better performance and good robustness in both time-domain and frequency-domain responses.