The invention relates to a water ship trajectory tracking control method for
actuator asymmetric saturation. The method comprises steps: 1, an expected tracking trajectory is given, an expected plane position (x<d>, y<d>) is given, an expected
yaw angle psi<d> is given, and the expected trajectory is presented to be eta<d>=[ x<d>, y<d>, psi<d>]<T>; 2, a trajectory
tracking error is calculated, and the error, z1=eta - eta<d>, between the actual trajectory and the expected trajectory is calculated; 3, an expected speed is calculated, and the expected speed alpha needed for eliminating the error between the expected trajectory and the actual trajectory is calculated; 4, a neural network is designed, an uncertainty
delta in a kinetic equation uses the neural network
delta=W<*T> phi(theta) + epsilon to be approximately expressed; 5, an auxiliary
control system is designed, a Gauss
error function is used, and a smooth asymmetric saturation
actuator model is designed; and 6, a
model control law is calculated, a control quantity tau needed for eliminating the error between the expected trajectory and the actual trajectory is calculated. The method can approximate a model uncertainty, suppress external disturbance influences,
resist asymmetric saturation of an actuating mechanism, track any expected trajectory and ensure gradual stability of the
system.