Approximately bisimilar symbolic model for switched systems with unstable subsystems

被引：2

作者：

Liu, Yongzhuang ^{[1
]}

Song, Yang ^{[1
,2
]}

Gao, Wenshuai ^{[1
]}

机构：

[1] Shanghai Univ, Sch Mechatron Engn & Automat, Dept Automat, Shanghai 200444, Peoples R China

[2] Shanghai Key Lab Power Stn Automat Technol, Shanghai 200444, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE | 2022年 / 359卷 / 09期

基金：

上海市自然科学基金;

关键词：

STABILITY; STABILIZATION; CONTROLLERS; DISCRETE; DESIGN;

D O I：

10.1016/j.jfranklin.2022.04.013

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 deals with approximate bisimulation for the switched nonlinear system with mode-dependent dwell time. A criterion for incremental stability is presented for this switched nonlinear system by constructing incremental Lyapunov-like functions. Then for the case that all the subsystems are linear, a more solvable criterion is provided in terms of linear matrix inequalities. A symbolic model which is approximately bisimilar to the original switched nonlinear system is developed by using the grid-based approach, and the bisimilar precision is also given. Numerical examples are provided to show the application of the proposed results. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4393 / 4409

页数：17

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