The embodiment of the present application relates to the technical field of
spacecraft, and particularly relates to a rate damping control method and device under the condition of gyro saturation. The method comprises the following steps: establishing a gyro matrix according to the installation coordinates of three gyros; establishing a
first relationship between the
angular velocity of the three gyros and the
angular velocity of a control coordinate
system according to the gyro matrix; establishing a second relationship between the moment and the gyro
angular velocity according to the
first relationship and a
dynamic equation; establishing a
Lyapunov function representing the velocity according to the gyro angular velocity, the
moment of inertia and the gyro matrix, and deriving to obtain a velocity derivative expression; establishing a velocity damping control law between the
damping matrix, the gyro angular
velocity measurement value and the moment; establishing a third relationship for expressing the velocity derivative by using the gyro angular
velocity measurement value and the
damping matrix according to the velocity derivative expression and the velocity damping control law; and determining the
damping matrix according to the third relationship so that the velocity derivative is a non-positive number. According to the scheme, the rate damping control can be performed under the condition of gyro saturation.