SCIENCE CHINA Information Sciences, Volume 60, Issue 1: 012204(2017) https://doi.org/10.1007/s11432-015-1031-6

## Iterative learning control for one-dimensional fourth order distributed parameter systems

• AcceptedJun 3, 2016
• PublishedNov 22, 2016
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### Abstract

This paper addresses the problem of iterative learning control algorithm for high order distributed parameter systems in the presence of initial errors. And the considered distributed parameter systems are composed of the one-dimensional fourth order parabolic equations or the one-dimensional fourth order wave equations. According to the characteristics of the systems, iterative learning control laws are proposed for such fourth order distributed parameter systems based on the P-type learning scheme. When the learning scheme is applied to the systems, the output tracking errors on $L^2$ space are bounded, and furthermore, the tracking errors on $L^2$ space can tend to zero along the iteration axis in the absence of initial errors. Simulation examples illustrate the effectiveness of the proposed method.

### Funded by

National Natural Science Foundation of China(11371013)

### Acknowledgment

Acknowledgments

This work was supported by National Natural Science Foundation of China (Grant No. 11371013). And the authors would like to express their gratitude to the anonymous referees for their valuable suggestions that have greatly improved the quality of the paper.

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