Abstract:

In iterative learning control theory, in order to overcome the limitation of the fixation of the initial value or the consistency of the initial value and the desired initial value, iterative learning control for a class of nonlinear batch processes with state delay is studied. The initial expectation of the system is random variable in the expected initial value within a certain range, and there exist measurable repetitive disturbances. The open-loop PD-type learning algorithm with a forgetting factor is presented and the convergence condition of the spectral radius form is given,then the convergence of the learning algorithm is given based on operator theory, a simulation example of batch nonlinear control delay processes is given. The results of the research illustrate the effectiveness of the learning control method.