A linear continuous feedback control of Chua's circuit

Chi Chuan Hwang; Jin Yuan Hsieh; Rong Syh Lin

doi:10.1016/S0960-0779(96)00150-6

A linear continuous feedback control of Chua's circuit

Chi Chuan Hwang, Jin Yuan Hsieh, Rong Syh Lin

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

119 Citations (Scopus)

Abstract

A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a limit cycle. The stability region of Chua's circuit with control is determined via the Routh-Hurwitz criterion. Some numerical simulations are given to demonstrate the effect of the control design.

Original language	English
Pages (from-to)	1507-1515
Number of pages	9
Journal	Chaos, solitons and fractals
Volume	8
Issue number	9
DOIs	https://doi.org/10.1016/S0960-0779(96)00150-6
Publication status	Published - 1997 Sept

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

Access to Document

10.1016/S0960-0779(96)00150-6

Cite this

@article{6ffc1fdea5294d07ba7ec0dd2666a85b,

title = "A linear continuous feedback control of Chua's circuit",

abstract = "A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a limit cycle. The stability region of Chua's circuit with control is determined via the Routh-Hurwitz criterion. Some numerical simulations are given to demonstrate the effect of the control design.",

author = "Hwang, {Chi Chuan} and Hsieh, {Jin Yuan} and Lin, {Rong Syh}",

year = "1997",

month = sep,

doi = "10.1016/S0960-0779(96)00150-6",

language = "English",

volume = "8",

pages = "1507--1515",

journal = "Chaos, solitons and fractals",

issn = "0960-0779",

publisher = "Elsevier Limited",

number = "9",

}

TY - JOUR

T1 - A linear continuous feedback control of Chua's circuit

AU - Hwang, Chi Chuan

AU - Hsieh, Jin Yuan

AU - Lin, Rong Syh

PY - 1997/9

Y1 - 1997/9

N2 - A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a limit cycle. The stability region of Chua's circuit with control is determined via the Routh-Hurwitz criterion. Some numerical simulations are given to demonstrate the effect of the control design.

AB - A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua's circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a limit cycle. The stability region of Chua's circuit with control is determined via the Routh-Hurwitz criterion. Some numerical simulations are given to demonstrate the effect of the control design.

UR - http://www.scopus.com/inward/record.url?scp=0031237459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031237459&partnerID=8YFLogxK

U2 - 10.1016/S0960-0779(96)00150-6

DO - 10.1016/S0960-0779(96)00150-6

M3 - Article

AN - SCOPUS:0031237459

SN - 0960-0779

VL - 8

SP - 1507

EP - 1515

JO - Chaos, solitons and fractals

JF - Chaos, solitons and fractals

IS - 9

ER -

A linear continuous feedback control of Chua's circuit

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this