Monotonically convergence of 2D uncertain linear systems with considerable disturbances

The control of 2D linear systems with parameters uncertainties will be studied here, using an H∞ approach and linear matrix inequalities LMI techniques. Robust monotonically convergence will be demonstrated with designing robust iterative learning control ILC. D type iterative controller will be presented by decreasing the errors from iteration to iteration until becomes zero. The robust stability of the 2D systems will be also demonstrated in the next of this paper. An illustrative example is presented to show the applicability of the proposed results.