2009
DOI: 10.1177/1077546308091217
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Vibration Suppression of a Principal Parametric Resonance

Abstract: Abstract:In this paper, a control method that combines linear and nonlinear-velocity feedback control is proposed to suppress the principal parametric resonance in a flexible cantilever beam structure. Linearvelocity feedback is employed for bifurcation control, and cubic-velocity feedback is employed to suppress high-amplitude vibration. A unified bifurcation parameter 1 that includes both the excitation frequency and amplitude is defined for the stability analysis, so that bifurcations under quasi-stationary… Show more

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Cited by 21 publications
(20 citation statements)
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“…A common practice is to maximize the inherited robustness of a controller by careful parameter design and tuning [5], [6]. Further robustness improvement can be achieved via advanced techniques such as nonlinear control [7]- [9], H ∞ or optimized loop-shaping robust control [10]- [12], and adaptive intelligent control [13], [14]. A more attractive approach distinguished from the aforementioned comes with the concept of unknown-input estimation, which brings disturbance rejection to a higher level, as demonstrated by various industrial applications [15]- [22].…”
Section: Introductionmentioning
confidence: 99%
“…A common practice is to maximize the inherited robustness of a controller by careful parameter design and tuning [5], [6]. Further robustness improvement can be achieved via advanced techniques such as nonlinear control [7]- [9], H ∞ or optimized loop-shaping robust control [10]- [12], and adaptive intelligent control [13], [14]. A more attractive approach distinguished from the aforementioned comes with the concept of unknown-input estimation, which brings disturbance rejection to a higher level, as demonstrated by various industrial applications [15]- [22].…”
Section: Introductionmentioning
confidence: 99%
“…Vibration energy of a linear master structure is absorbed to suppress undesired oscillations by coupling a time delay to a master mass. To broaden a valid range in frequency for suppression of vibrations, Zhao and Xu [18] proposed a delayed-resonator vibration absorber with nonlinear master and slave structures, and then a linear timedelayed active absorber was realized in relative experiment [19,20]. The slave structure in this study has geometrical nonlinearity, which can expand the frequency range so that vibration energy could be absorbed easily in engineering practice.…”
Section: Introductionmentioning
confidence: 94%
“…In terms of control methods for suppressing LCOs, various algorithms apply [2], [3]. Due to the time-varying nature and nonlinear characteristics of an aeroelastic system and the increasing demand on wider operation range beyond the flutter boundary, adaptive and robust control has become a major focus in recent studies for active suppression of airfoil flutter (ASAF).…”
Section: Introductionmentioning
confidence: 99%