Generating chaos for a class of linear switching control systems: A hybrid approach

被引：6

作者：

Zhang, Yuping ^{[1
,2
,4
]}

Shi, Peng ^{[2
,3
]}

Zhu, Hong ^{[1
]}

Hu, Jiangping ^{[1
]}

Zeng, Yong ^{[1
]}

机构：

[1] Univ Elect Sci & Technol, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China

[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia

[4] Zhejiang Tianhuang Sci & Technol Ind Co Ltd, Hangzhou 310030, Zhejiang, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 12期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

POSITIVE LYAPUNOV EXPONENTS; ATTRACTORS; CHAOTIFICATION; SYNCHRONIZATION;

D O I：

10.1016/j.jfranklin.2015.10.007

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 investigates a class of linear continuous-time "periodic" switching systems and proposes a new approach to generate chaos by designing a hybrid switching rule. First, Lyapunov exponents of the system are derived by extending the Floquet theorem to a class of linear continuous-time switching systems. Then, a novel switching rule is proposed to gain global boundedness property as well as the required placement of Lyapunov exponents for chaos. A numerical example is given to illustrate the chaotic dynamic behavior of the generated system. Furthermore, the corresponding bifurcation diagrams are sketched, which, together with other phase portraits, clearly verify the validity of the main result. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5853 / 5865

页数：13

共 50 条

[41] Occasional linear feedback approach to control chaos
Li, Guohui
Zhou, Shiping
Xu, Deming
Lai, Jianwen
Wuli Xuebao/Acta Physica Sinica, 2000, 49 (11): : 2123 - 2128
[42] Control for a class of hybrid systems
van Schuppen, JH
VERIFICATION OF DIGITAL AND HYBRID SYSTEM, 2000, 170 : 332 - 354
[43] Control of a Class of Hybrid Systems
Batis, Sonia
Alla, Hassane
2013 10TH IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL (ICNSC), 2013, : 65 - 70
[44] Robust switching design for linear hybrid systems
Sun, Zhendong
Su, Weizhou
Wang, Cong
2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1179 - +
[45] Theory and applications of discontinuous state feedback generating chaos for linear systems
Zhang Xiao-Dan
Wang Zhen
Zhao Pin-Dong
CHINESE PHYSICS LETTERS, 2008, 25 (02) : 397 - 400
[46] Generating Shilnikov chaos in 3D piecewise linear systems
Gonzalo Barajas-Ramirez, Juan
Franco-Lopez, Arturo
Gonzalez-Hernandez, Hugo G.
APPLIED MATHEMATICS AND COMPUTATION, 2021, 395
[47] H∞ Tracking Control of Uncertain Markovian Hybrid Switching Systems: A Fuzzy Switching Dynamic Adaptive Control Approach
Yang, Dong
Zong, Guangdeng
Su, Shun-Feng
IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (05) : 3111 - 3122
[48] Design of linear observers for a class of linear hybrid systems
de la Sen, M
Luo, NS
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (09) : 1077 - 1090
[49] Switching Control for Renewable Hybrid Systems
Wu, Zhou
Xia, Xiaohua
Tazvinga, Henerica
Zhu, Bing
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2517 - 2522
[50] Generating invariants for non-linear hybrid systems
Rebiha, Rachid
Moura, Arnaldo V.
Matringe, Nadir
THEORETICAL COMPUTER SCIENCE, 2015, 594 : 180 - 200

← 1 2 3 4 5 →