Adaptive Critic Based Neural Network for ControlConstrained Agile Missile
This chapter uses the adaptive critic approach, which was introduced in Chapters 3 and 4, to steer an agile missile with bounds on the angle of attack (control variable) from various initial Mach numbers to a given final Mach number in minimum time while completely reversing its flight path angle. While a typical adaptive critic consists of a critic and controller, the agile missile problem needs chunking in terms of the independent control variable and, therefore, cascades of critics and controllers. Detailed derivations of equations and conditions on the constraint boundary are provided. For numerical experiments, the authors consider vertical plane scenarios. Numerical results demonstrate some attractive features of the adaptive critic approach and show that this formulation works very well in guiding the missile to its final conditions for this state constrained optimization problem from an envelope of initial conditions.