Controlling chaotic trajectories to unstable limit cycles - a case study

Guanrong Chen

Controlling chaotic trajectories to unstable limit cycles - a case study

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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Abstract

In the last two years, we have developed some new ideas and techniques for the control of chaotic nonlinear systems using conventional feedback controllers design methods, for both discrete-time and continuous-time systems, where the target position is either an (unstable) equilibrium point or an (unstable) limit cycle of the chaotic system. In this paper, we further provide a rigorous mathematical theory to support these new ideas and techniques, for a particular yet representative case: the well-known continuous-time chaotic Duffing system.

Original language	English
Title of host publication	American Control Conference
Publisher	IEEE
Pages	2413-2414
ISBN (Print)	780308611
Publication status	Published - 1993
Externally published	Yes
Event	Proceedings of the 1993 American Control Conference - San Francisco, CA, USA Duration: 2 Jun 1993 → 4 Jun 1993

Conference

Conference	Proceedings of the 1993 American Control Conference
City	San Francisco, CA, USA
Period	2/06/93 → 4/06/93

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title = "Controlling chaotic trajectories to unstable limit cycles - a case study",

abstract = "In the last two years, we have developed some new ideas and techniques for the control of chaotic nonlinear systems using conventional feedback controllers design methods, for both discrete-time and continuous-time systems, where the target position is either an (unstable) equilibrium point or an (unstable) limit cycle of the chaotic system. In this paper, we further provide a rigorous mathematical theory to support these new ideas and techniques, for a particular yet representative case: the well-known continuous-time chaotic Duffing system.",

author = "Guanrong Chen",

year = "1993",

language = "English",

isbn = "780308611",

pages = "2413--2414",

booktitle = "American Control Conference",

publisher = "IEEE",

address = "United States",

note = "Proceedings of the 1993 American Control Conference ; Conference date: 02-06-1993 Through 04-06-1993",

}

TY - GEN

T1 - Controlling chaotic trajectories to unstable limit cycles - a case study

AU - Chen, Guanrong

PY - 1993

Y1 - 1993

N2 - In the last two years, we have developed some new ideas and techniques for the control of chaotic nonlinear systems using conventional feedback controllers design methods, for both discrete-time and continuous-time systems, where the target position is either an (unstable) equilibrium point or an (unstable) limit cycle of the chaotic system. In this paper, we further provide a rigorous mathematical theory to support these new ideas and techniques, for a particular yet representative case: the well-known continuous-time chaotic Duffing system.

AB - In the last two years, we have developed some new ideas and techniques for the control of chaotic nonlinear systems using conventional feedback controllers design methods, for both discrete-time and continuous-time systems, where the target position is either an (unstable) equilibrium point or an (unstable) limit cycle of the chaotic system. In this paper, we further provide a rigorous mathematical theory to support these new ideas and techniques, for a particular yet representative case: the well-known continuous-time chaotic Duffing system.

UR - http://www.scopus.com/inward/record.url?scp=0027335239&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0027335239&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 780308611

SP - 2413

EP - 2414

BT - American Control Conference

PB - IEEE

T2 - Proceedings of the 1993 American Control Conference

Y2 - 2 June 1993 through 4 June 1993

ER -

Controlling chaotic trajectories to unstable limit cycles - a case study

Abstract

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