Application of PID Controller to 2D Differential Geometric Guidance and Control Problem

This paper presents the application of the proportional-integral-derivative (PID) controller to the development of the flight control system (FCS) for two-dimensional (2D) differential geometric (DG) guidance and control problem. In particular, the performance of the designed FCS is investigated. To this end, the commanded angle-of-attack (AOA) is firstly developed in the time domain using the classical DG formulations. Then, the classical PID controller is introduced to develop a FCS so as to form the 2D DG guidance and control system, and the PID controller parameters are determined by the Ziegler-Nichols method as well as the Routh-Hurwitz stability algorithm to guarantee a fast convergence of the system error. The results demonstrate that the designed controller yields a fast responding FCS, and the resulting DG guidance and control system is viable and effective in a realistic missile defense engagement.