Stability of a Class of Nonlinear Repetitive Processes with Application to Iterative Learning Control

被引：2

作者：

Emelianova, Julia

Emelianov, Mikhail ^{[1
]}

Pakshin, Pavel ^{[1
,2
]}

机构：

[1] RE Alekseev Nizhny Novgorod State Tech Univ, Arzamas Polytech Inst, 19 Kalinina St, Arzamas 607227, Russia

[2] Lobachevsky State Univ Nizhny Novgorod, Prospekt Gagarina 23, Nizhnii Novgorod 603950, Russia

来源：

IFAC PAPERSONLINE | 2016年 / 49卷 / 13期

基金：

俄罗斯基础研究基金会;

关键词：

2D systems; repetitive processes; exponential stability; stabilization; iterative learning control; STABILIZATION; SYSTEMS; MODELS;

D O I：

10.1016/j.ifacol.2016.07.949

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper considers a discrete repetitive process described by the state-space model with static nonlinearity satisfying quadratic constraints (in particular, the SISO case with the sector bounded nonlinearity). Based oil the vector Lyapunov function approach developed by the authors, sufficient conditions of pass profile exponential stability are obtained in the form of linear matrix inequalities. These conditions are then applied to the design of an iterative learning control law for a simple nonlinear mechanical system. (C) 2016, IFAC (international Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：187 / 192

页数：6

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