A fast iterative learning control scheme for linear time-variant continuous systems

In this paper, a fast iterative learning control (ILC) scheme is presented for linear time-variant continuous systems. It ensures that the whole desired output trajectory can be accurately tracked only after one learning trial. In this scheme, there are two types of ILC laws, i.e., the time-variant D-type ILC law and the fast ILC law. Based on two-dimensional (2-D) model, convergence of the both types of ILC laws is proved respectively, and sufficient conditions are derived. Motivated by this, two corresponding algorithms for ILC are proposed, which enable us to find the desired control inputs. Meanwhile, the 2-D linear continuous-discrete Roesser's type model is developed by extending the applications of ILC from time-invariant control systems to time-variant control systems. Two numerical simulation examples are included to illustrate the obtained results.