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@@ -162,7 +162,9 @@ Elevator control on the other hand is energy conservative, and is thus used for
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$$\dot{B} = \gamma - \frac{\dot{V_T}}{g}$$
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## Fixed-Wing Attitude Controller
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### Setpoint modificaiton
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Most fixed-wing aircraft cannot generate a sustained yaw rate using the rudder alone. As a result, the yaw component of the quaternion attitude error should be removed before computing the control action.
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This is achieved by premultiplying the setpoint quaternion with a rotation about the global down axis. The additional rotation cancels the yaw component of the attitude error while preserving the roll and pitch components.
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@@ -219,7 +221,7 @@ In order to keep a constant rate, this damping can be compensated using feedforw
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### Turn coordination
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The yaw rate setpoint is generated using the turn coordination constraint in order to minimize lateral acceleration, generated when the aircraft is slipping.
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The yaw rate setpoint is generated using the turn coordination constraint in order to minimize lateral acceleration, generated when the aircraft is slipping.
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$$r_{sp} = \frac{2g}{V_T}\left(q_0 q_1 + q_2 q_3\right)$$
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