In a number of instances, aircraft that have suffered in-flight damage to their airframe or control system were brought safely to the ground using unconventional means of control. The success in these cases depended greatly on the pilot having had some exposure to unconventional control strategies. Control strategies are considered for cases of aircraft with damage only to the primary control system, as well as cases in which the vertical tail is lost. The piloting strategies are developed using optimal control theory, which optimizes the control law for a desired maneuver and a chosen aircraft configuration. The results show that, despite the loss of the primary control system or of the vertical tail, control of the aircraft is often possible, although it requires the use of unconventional control strategies, in particular, of differential thrust. Especially in the case without a vertical tail, the maneuver in which adverse yaw induces a rolling moment opposite to the intended yaw direction is somewhat surprising and, initially, counterintuitive.
Nomenclature= rolling moment coefficient, roll moment/ 1 2 ρV 2 ∞ Sb C m = pitching moment coefficient, pitch moment/ 1 2 ρV 2 ∞ Sc C n = yawing moment coefficient, yaw moment/ 1 2 ρV 2 ∞ Sb C Y = side force coefficient, side force/ 1 2 ρV 2 ∞ S c = mean aerodynamic chord H = weighting matrix (terminal) J = performance index K = Riccati matrix l = roll moment M = Mach number m = pitch moment n = yaw moment P = roll rate; positive when right wing moves down Q = pitch rate; positive when aircraft nose moves up Q = weighting matrix (tracking) R = yaw rate; positive when aircraft nose moves to right R = weighting matrix (control effort) r = desired state trajectory S = wing area s = command signal T = thrust U = forward velocity u = control vector V = side velocity; positive when aircraft moves to right V ∞ = flight speed W = downward velocity x = state vector α = angle of attack; positive when aircraft nose up β = sideslip angle; positive when aircraft moves to right δ A = aileron angle; positive when right aileron up δ E = elevator angle; positive when trailing edge up δ R = rudder angle; positive when trailing edge to left (negative yaw, but positive roll moment) = pitch angle; positive when aircraft nose up = bank angle; positive when left wing up = yaw angle; positive when aircraft nose points to right of flight path