Glossary term
Yaw Rate
The angular velocity of a vehicle or body rotating about its vertical or body-z axis, used in stability and navigation control.
Definition
quantityYaw rate is the angular velocity of a vehicle or body about its vertical or body-z axis, usually measured by inertial sensors or estimated in motion models.
Yaw rate is a dynamic quantity used in aircraft, road vehicles, ships, robots, and drones to describe turning motion. It is measured by rate gyroscopes or estimated from motion data, and it is central to stability control, attitude estimation, path following, and manoeuvre analysis.
Yaw rate is the time derivative of yaw angle. It describes how quickly a body is rotating about its vertical or body-z axis:
where r is commonly used for yaw rate in vehicle and flight dynamics, and psi is yaw angle. The sign of r depends on the coordinate convention, so it must be interpreted with the chosen frame.
Engineering use
Yaw rate is used in electronic stability control, aircraft yaw dampers, autopilots, ship manoeuvring models, mobile robots, drones, inertial navigation systems, and driver-assistance functions. It provides fast dynamic information that is often more useful for control than yaw angle alone.
Rate gyroscopes can measure yaw rate directly, but sensor bias, scale-factor error, temperature drift, vibration, mounting misalignment, and filtering affect the signal. Integrating yaw rate gives yaw angle, but any bias accumulates into heading drift unless corrected by other measurements. Sampling rate and anti-alias filtering matter because vibration and road or airframe dynamics can be folded into the control bandwidth.
Common mistakes
A common mistake is treating yaw rate as a clean derivative of heading. Real sensors include bias, noise, delay, saturation, and cross-axis sensitivity. Another mistake is comparing yaw-rate values from different coordinate frames without checking sign convention and axis definition. A strong yaw-rate specification states sensor location, axis orientation, units, bandwidth, sampling rate, filtering, calibration, bias stability, temperature range, and how the signal is fused with other measurements.