Iterative Learning Control For Some Classes Of Discrete Systems

This paper discuss the problems of iterative learning control for three kinds of systems,which are general 2-D model of a class of continuous-discrete linear system,a class of singular regular linear discrete-time system and a class of second order hyperbolic distributed parameter system based on finite differential respectively.The details are as follows:In chapter 1,the historical background of iterative learning control are described and the significance and goal of the research are given.In chapter 2,we consider the problem of iterative learning control algorithm for the general 2-D model of a class of continuous-discrete linear systems.By constructing a new computing method of the vector and matrix,according to the property of iterative convergence,we prove that the output of the system converges to the desired output.In chapter 3,we discuss the problem of iterative learning control for a class of singular regular linear discrete-time system in this paper.Based on the singular value decomposition method,the systems are transformed into the difference-algebraic systems.Using the property of the spectral radius of the iterative matrix is less than one,we get a necessary and sufficient condition for the output of the system converge to the desired output.In chapter 4,the iterative learning control problem for a class of two order hyperbolic distributed parameter systems based on finite difference method is studied.By constructing the relationship between the exact solution of the system state and the finite difference method,and with the help of convergence of finite difference solution along the iteration axis,thus it illustrates that the state of the system converges to the state of the desired trajectory along the iteration axis.In chapter 5,the conclusion and further work are discussed.