Modified exact linearization control for chaotic oscillators

Li Qun Chen; Yan Zhu Liu

doi:10.1023/A:1008312908664

Modified exact linearization control for chaotic oscillators

Li Qun Chen
, Yan Zhu Liu

Shanghai Jiao Tong University

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

23 Scopus citations

Abstract

The control of chaotic oscillations is investigated in this paper. A control methodology, termed input-output linearization, is modified by locally linearizing the nonlinear control law in the small neighborhood of the control goal. Its suitability for controlling chaotic oscillators is analyzed. The forced Duffing oscillator is treated as a numerical example of controlling chaotic motion to a given fixed point and a given period-2 motion. The control signals and time needed to achieve the desired goals of the modified method are compared with those of the original method. The robustness of the control law is demonstrated.

Original language	English
Pages (from-to)	309-317
Number of pages	9
Journal	Nonlinear Dynamics
Volume	20
Issue number	4
DOIs	https://doi.org/10.1023/A:1008312908664
State	Published - Dec 1999
Externally published	Yes

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title = "Modified exact linearization control for chaotic oscillators",

abstract = "The control of chaotic oscillations is investigated in this paper. A control methodology, termed input-output linearization, is modified by locally linearizing the nonlinear control law in the small neighborhood of the control goal. Its suitability for controlling chaotic oscillators is analyzed. The forced Duffing oscillator is treated as a numerical example of controlling chaotic motion to a given fixed point and a given period-2 motion. The control signals and time needed to achieve the desired goals of the modified method are compared with those of the original method. The robustness of the control law is demonstrated.",

author = "Chen, \{Li Qun\} and Liu, \{Yan Zhu\}",

year = "1999",

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doi = "10.1023/A:1008312908664",

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N2 - The control of chaotic oscillations is investigated in this paper. A control methodology, termed input-output linearization, is modified by locally linearizing the nonlinear control law in the small neighborhood of the control goal. Its suitability for controlling chaotic oscillators is analyzed. The forced Duffing oscillator is treated as a numerical example of controlling chaotic motion to a given fixed point and a given period-2 motion. The control signals and time needed to achieve the desired goals of the modified method are compared with those of the original method. The robustness of the control law is demonstrated.

AB - The control of chaotic oscillations is investigated in this paper. A control methodology, termed input-output linearization, is modified by locally linearizing the nonlinear control law in the small neighborhood of the control goal. Its suitability for controlling chaotic oscillators is analyzed. The forced Duffing oscillator is treated as a numerical example of controlling chaotic motion to a given fixed point and a given period-2 motion. The control signals and time needed to achieve the desired goals of the modified method are compared with those of the original method. The robustness of the control law is demonstrated.

UR - https://www.scopus.com/pages/publications/0033337383

U2 - 10.1023/A:1008312908664

DO - 10.1023/A:1008312908664

M3 - 文章

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SN - 0924-090X

VL - 20

SP - 309

EP - 317

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

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ER -

Modified exact linearization control for chaotic oscillators

Abstract

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