Pass profile exponential and asymptotic stability of nonlinear repetitive processes

被引：1

作者：

Pakshin, Pavel ^{[1
,2
]}

Emelianova, Julia

Emelianov, Mikhail ^{[1
]}

Galkowski, Krzysztof ^{[3
]}

Rogers, Eric ^{[4
]}

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

[3] Univ Zielona Gora, Inst Control & Computat Engn, Ul Szafrana 2, PL-65516 Zielona Gora, Poland

[4] Univ Southampton, Dept Elect & Comp Sci, Southampton SO17 1BJ, Hants, England

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Nonlinear repetitive processes; pass profile exponential stability; pass profile asymptotic stability; vector Lyapunov functions; LEARNING CONTROL DESIGN; ROESSER MODELS; STABILIZATION; SYSTEMS;

D O I：

10.1016/j.ifacol.2017.08.801

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers discrete and differential nonlinear repetitive processes using the state-space model setting. These processes are a particular class of 2D systems that have their origins in the modeling of physical processes. Their distinguishing characteristic is that one of the two independent variables needed to describe the dynamics evolves over a finite interval and therefore they are defined over a subset of the upper-right quadrant of the 2D plane. The current stability theory for nonlinear dynamics assumes that they operate over the complete upper-right quadrant and this property may be too strong for physical applications, particulary in terms of control law design. With applications in mind, the contribution of this paper is the use of vector Lyapunov functions to characterize a new properties termed pass profile exponential stability and pass profile asymptotic stability. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：4138 / 4143

页数：6

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