# American Institute of Mathematical Sciences

January  2011, 7(1): 175-181. doi: 10.3934/jimo.2011.7.175

## 2-D analysis based iterative learning control for linear discrete-time systems with time delay

 1 Department of Computer, Chongqing University, Chongqing 400044, China, China 2 Texas A&M University at Qatar, Doha, P.O.Box 5825

Received  December 2009 Revised  October 2010 Published  January 2011

This paper investigates an iterative learning controller for linear discrete-time systems with state delay based on two-dimensional (2-D) system theory. It shall be shown that a 2-D linear discrete Roessor's model can be applied to describe the ILC process of linear discrete time-delay systems. Much less restrictive conditions for the convergence of the proposed learning rules are derived. A learning algorithm is presented which provides much more effective learning of control input, which enables us to obtain a control input to drive the system output to the desired trajectory quickly. Numerical examples are included to illustrate the performance of the proposed control procedures.
Citation: Chuandong Li, Fali Ma, Tingwen Huang. 2-D analysis based iterative learning control for linear discrete-time systems with time delay. Journal of Industrial & Management Optimization, 2011, 7 (1) : 175-181. doi: 10.3934/jimo.2011.7.175
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