Advanced feedback control of the chaotic Duffing equation

Zhong Ping Jiang

doi:10.1109/81.983872

Advanced feedback control of the chaotic Duffing equation

Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

Original language	English (US)
Pages (from-to)	244-249
Number of pages	6
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	49
Issue number	2
DOIs	https://doi.org/10.1109/81.983872
State	Published - Feb 2002

Keywords

Adaptive nonlinear control
Duffing equation
Exponential convergence
Global stability
Linear feedback

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/81.983872

Cite this

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title = "Advanced feedback control of the chaotic Duffing equation",

abstract = "This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.",

keywords = "Adaptive nonlinear control, Duffing equation, Exponential convergence, Global stability, Linear feedback",

author = "Jiang, {Zhong Ping}",

note = "Funding Information: Manuscript received December 5, 2000; revised September 26, 2001. This work has been supported in part by the U.S. National Science Foundation under Grant INT-9987317, Grant ANI-0081527, and Grant ECS-0093176. This paper was recommended by Associate Editor M. Di Bernardo.",

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AB - This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

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KW - Exponential convergence

KW - Global stability

KW - Linear feedback

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Advanced feedback control of the chaotic Duffing equation

Abstract

Keywords

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