Robust convergence analysis of iterative learning control for impulsive Riemann-Liouville fractional-order systemsReport as inadecuate




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Advances in Difference Equations

, 2016:256

First Online: 11 October 2016Received: 14 July 2016Accepted: 27 September 2016

Abstract

In this paper, we explore P-type learning laws for impulsive Riemann-Liouville fractional-order controlled systems \0<\alpha<1\ with initial state offset bounded to track the varying reference accurately by using a few iterations in a finite time interval. By using the Gronwall inequality and fundamental inequalities, we obtain open-loop and closed-loop P-type robust convergence results in the sense of \PC {1-\alpha}, \lambda\-norm \\|\cdot\| {PC {1-\alpha},\lambda}\. Finally, numerical examples are given to illustrate our theoretical results.

Keywordsimpulsive fractional-order system iterative learning control robust convergence weighted norm MSC34A37 93C15 93C40  Download fulltext PDF



Author: Zijian Luo - Wei Wei - JinRong Wang

Source: https://link.springer.com/



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