## Abstract and Applied Analysis

### Robust Monotonically Convergent Iterative Learning Control for Discrete-Time Systems via Generalized KYP Lemma

#### Abstract

This paper addresses the problem of P-type iterative learning control for a class of multiple-input multiple-output linear discrete-time systems, whose aim is to develop robust monotonically convergent control law design over a finite frequency range. It is shown that the 2 D iterative learning control processes can be taken as 1 D state space model regardless of relative degree. With the generalized Kalman-Yakubovich-Popov lemma applied, it is feasible to describe the monotonically convergent conditions with the help of linear matrix inequality technique and to develop formulas for the control gain matrices design. An extension to robust control law design against systems with structured and polytopic-type uncertainties is also considered. Two numerical examples are provided to validate the feasibility and effectiveness of the proposed method.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 450241, 12 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412277022

Digital Object Identifier
doi:10.1155/2014/450241

Mathematical Reviews number (MathSciNet)
MR3216051

Zentralblatt MATH identifier
07022397

#### Citation

Ding, Jian; Yang, Huizhong. Robust Monotonically Convergent Iterative Learning Control for Discrete-Time Systems via Generalized KYP Lemma. Abstr. Appl. Anal. 2014 (2014), Article ID 450241, 12 pages. doi:10.1155/2014/450241. https://projecteuclid.org/euclid.aaa/1412277022

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