Regional stabilization of nonlinear sampled-data control systems: A quasi-LPV approach *

被引：12

作者：

Palmeira, Alessandra H. K. ^{[1
]}

Gomes da Silva Jr, Joao M. ^{[1
]}

Flores, Jeferson, V ^{[1
]}

机构：

[1] Univ Fed Rio Grande do Sul UFRGS, Sch Engn, Porto Alegre, RS, Brazil

来源：

EUROPEAN JOURNAL OF CONTROL | 2021年 / 59卷

关键词：

Sampled-data control; Quasi-LPV control; Nonlinear systems; Regional stability; Linear matrix inequalities (LMI); STABILITY ANALYSIS; FEEDBACK-CONTROL;

D O I：

10.1016/j.ejcon.2020.11.001

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 addresses the asymptotic stabilization of a class of continuous-time nonlinear systems under a sampled-data control. The proposed approach is based on a quasi linear parameter varying (quasi-LPV) model for the nonlinear system and the use of a parameter dependent looped-functional to deal with the aperiodic sampling effects. Explicitly taking into account that the model parameters are functions of the state and therefore are bounded only in a given region of the state space, quasi-LMI conditions are proposed to compute a regional stabilizing nonlinear state feedback control law under aperiodic sampling. These conditions are then incorporated in convex optimization problems to compute the control law aiming at the maximization of an estimate of the region of attraction of the origin or the maximization of an upper bound on the intersampling time, with a guaranteed region of stability. (c) 2020 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页码：301 / 312

页数：12

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