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

Chuandong Li; Fali Ma; Tingwen Huang

doi:10.3934/jimo.2011.7.175

Article Contents

2011, Volume 7, Issue 1: 175-181. Doi: 10.3934/jimo.2011.7.175

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

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

Received: November 30, 2009

Revised: September 30, 2010

Published: December 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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