The invention discloses an iterative learning trajectory tracking control and
robust optimization method for a two-dimensional motion
mobile robot. The method includes the steps that firstly, a kinetic equation of a two-dimensional motion
mobile robot discrete non-
linear motion system model is established; a discrete non-linear
state space expression is established; a P type open-
closed loop iterative
learning controller based on the
iterative learning control technology is established; then the robust convergence of the established discrete non-
linear control system is theoretically analyzed; then parameter item splitting is conducted on control gains of the P type controller, meanwhile, a quadratic
performance index function based on controller parameters is designed, and the purpose is to optimize the
control parameters; finally, monotone convergence characteristics of output errors and parameter selection conditions generated when a
control algorithm acts on a controlled
system are analyzed and optimized, and the two-dimensional motion
mobile robot can rapidly track an expected motion trajectory at high precision. The method has the advantages that the
robust optimization iterative
learning controller is suitable for tracking control in an ideal state and suitable for trajectory tracking tasks under the condition that interference exists outside. A designed iterative
algorithm is simple and efficient, introduction of a large number of additional parameter variables is not needed, and
engineering realization is easy.