Fuzzy PID controller for 2D differential geometric guidance and control problem

A fuzzy set-point weighting proportional-integral-derivative (PID) controller is applied in the development of the flight control system for a two-dimensional differential geometric (DG) guidance and control system, whose function is to guarantee the achieved angle of attack (AOA) and track the commanded AOA efficiently. In particular, a Lyapunov stability criterion is introduced to study the relation between the stability and the output of the fuzzy inference system, and a genetic algorithm is utilised to tune the PID gains in the simulations so as to show the full potentiality of the proposed control scheme. The results demonstrate that the designed controller yields a fast-responding and stable system that is robust to parameter variations. Moreover, the DG guidance law is viable and effective in a realistic missile defence engagement.