Stabilization of vibration systems via delayed state difference feedback

Z. H. Wang; H. Y. Hu

doi:10.1016/j.jsv.2006.02.013

Stabilization of vibration systems via delayed state difference feedback

Z. H. Wang^*, H. Y. Hu

^*Corresponding author for this work

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

45 Citations (Scopus)

Abstract

This paper presents a study of the stabilization problem, via delayed state feedback of Pyragas type, for unstable vibration systems that have even number of characteristic roots with positive real parts. On the basis of stability switches with respect to the time delay, a new stabilization criterion is established, and an effective procedure for determining the admissible values of the feedback gains and the delay is given. Two examples are given in detail to demonstrate the efficiency of the theory.

Original language	English
Pages (from-to)	117-129
Number of pages	13
Journal	Journal of Sound and Vibration
Volume	296
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2006.02.013
Publication status	Published - 12 Sept 2006
Externally published	Yes

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10.1016/j.jsv.2006.02.013

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title = "Stabilization of vibration systems via delayed state difference feedback",

abstract = "This paper presents a study of the stabilization problem, via delayed state feedback of Pyragas type, for unstable vibration systems that have even number of characteristic roots with positive real parts. On the basis of stability switches with respect to the time delay, a new stabilization criterion is established, and an effective procedure for determining the admissible values of the feedback gains and the delay is given. Two examples are given in detail to demonstrate the efficiency of the theory.",

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AU - Hu, H. Y.

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Y1 - 2006/9/12

N2 - This paper presents a study of the stabilization problem, via delayed state feedback of Pyragas type, for unstable vibration systems that have even number of characteristic roots with positive real parts. On the basis of stability switches with respect to the time delay, a new stabilization criterion is established, and an effective procedure for determining the admissible values of the feedback gains and the delay is given. Two examples are given in detail to demonstrate the efficiency of the theory.

AB - This paper presents a study of the stabilization problem, via delayed state feedback of Pyragas type, for unstable vibration systems that have even number of characteristic roots with positive real parts. On the basis of stability switches with respect to the time delay, a new stabilization criterion is established, and an effective procedure for determining the admissible values of the feedback gains and the delay is given. Two examples are given in detail to demonstrate the efficiency of the theory.

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U2 - 10.1016/j.jsv.2006.02.013

DO - 10.1016/j.jsv.2006.02.013

M3 - Article

AN - SCOPUS:33745200928

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VL - 296

SP - 117

EP - 129

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

Stabilization of vibration systems via delayed state difference feedback

Abstract

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