4.11Case Study: Longitudinal Control of an Aircraft
The equations of motion for an aircraft are derived using a moving coordinate system fixed to the aircraft as shown in Figure 4.100. The x–y–z axes are referred to as body axes. The x-axis is aligned with the longitudinal axis of the airplane. The equations are based on Newton’s laws of motion for a rigid body in translation and rotation. The result is a system of six coupled nonlinear differential equations. Three of the six equations express accelerations in terms of body axis velocities u, v, w, angular velocities p, q, r, and external, aerodynamic, and gravitational forces acting on the plane. The remaining three equations relate the angular accelerations to p, q, r and ...
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