Chaotifying a stable LTI system by tiny feedback control

Xiao Fan Wang; Guanrong Chen

doi:10.1109/81.841926

Chaotifying a stable LTI system by tiny feedback control

Xiao Fan Wang
, Guanrong Chen

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

107 Citations (Scopus)

Abstract

The problem of making a stable linear time-invariant (LTI) system chaotic by using state-feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth or modulo function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. In fact, we mathematically prove that this controlled system is chaotic in the sense of Li and Yorke.

Original language	English
Pages (from-to)	410-415
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	47
Issue number	3
DOIs	https://doi.org/10.1109/81.841926
Publication status	Published - Mar 2000
Externally published	Yes

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abstract = "The problem of making a stable linear time-invariant (LTI) system chaotic by using state-feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth or modulo function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. In fact, we mathematically prove that this controlled system is chaotic in the sense of Li and Yorke.",

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AB - The problem of making a stable linear time-invariant (LTI) system chaotic by using state-feedback control of arbitrarily small magnitude is studied. The feedback controller used is a simple sawtooth or modulo function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, thereby yielding chaotic dynamics. In fact, we mathematically prove that this controlled system is chaotic in the sense of Li and Yorke.

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M3 - RGC 22 - Publication in policy or professional journal

SN - 1057-7122

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ER -

Chaotifying a stable LTI system by tiny feedback control

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