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We investigate the band of the saturation control in an auto-parametric dynamical system by using the delayed feedback. In an original system without delay feedback, some unstable regions may occur in the band of the saturation control for some internal resonance detuning parameters. The band of the saturation control is distributed unreasonably. The delay feedback control is used to control the distribution of the band for saturation control. The effects of the gain and delay on the band of the saturation control are studied. The results show that the unstable regions of the saturation control can be eliminated by choosing the values of the gain and delay appropriately. Moreover, the bandwidth of the saturation control does not narrow. Consequently, the distribution band of the saturation control can be improved by using the delay feedback control.
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Keywords:
- delay /
- saturation control /
- feedback /
- internal resonance detuning
[1] Nayfeh A, Mook D, Marshall L 1973 Journal of Hydronautics 7 145
[2] Haddow A, Barr A, Mook D 1984 Journal of Sound and Vibration 97 451
[3] Banerjee B, Bajaj A K, Davies P 1993 International Journal of Non-linear Mechanics 31 21
[4] Bajaj A K, Chang S I, Johnson M J 1994 Nonlinear Dynamics 5 433
[5] Song Y, Sato H, Iwata Y, Komatsuzaki T 2003 Journal of Sound and Vibration 259 747
[6] Wang H P, Li J 2007 Acta Phys. Sin. 56 2504 (in Chinese)[王洪坡、李 杰 2007 物理学报 56 2504]
[7] Qian C Z, Tang J S 2006 Acta Phys. Sin. 55 617 (in Chinese)[钱长照、唐驾时 2006 物理学报 55 617]
[8] Liu S, Liu B, Zhang Y K, Wen Y 2010 Acta Phys. Sin. 59 38 (in Chinese)[刘爽、刘 彬、张业宽、闻 岩 2010 物理学报 59 38]
[9] Olgac N, Holm-Hansen B T 1996 Journal of Sound and Vibration 176 93
[10] Olgac N, Jalili N 1998 Journal of Sound and Vibration 218 307
[11] Jalili N, Olgac N 1999 Journal of Sound and Vibration 223 567
[12] Filipovic D, Olgac N 2002 Mechatronics 12 393
[13] Zhao Y Y, Xu J 2007 Journal of Sound and Vibration 308 212
[14] Zhao Y Y, Xu J, Yan Z G 2010 Acta Mechanica Sinica 42 747 (in Chinese)[赵艳影、徐 鉴、严志刚 2010 力学学报 42 747]
[15] Wirkus S, Rand R 2002 Nonlinear Dynamics 30 205
[16] Pai P, Schulz M 2000 International Journal of Mechanical Sciences 42 537
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[1] Nayfeh A, Mook D, Marshall L 1973 Journal of Hydronautics 7 145
[2] Haddow A, Barr A, Mook D 1984 Journal of Sound and Vibration 97 451
[3] Banerjee B, Bajaj A K, Davies P 1993 International Journal of Non-linear Mechanics 31 21
[4] Bajaj A K, Chang S I, Johnson M J 1994 Nonlinear Dynamics 5 433
[5] Song Y, Sato H, Iwata Y, Komatsuzaki T 2003 Journal of Sound and Vibration 259 747
[6] Wang H P, Li J 2007 Acta Phys. Sin. 56 2504 (in Chinese)[王洪坡、李 杰 2007 物理学报 56 2504]
[7] Qian C Z, Tang J S 2006 Acta Phys. Sin. 55 617 (in Chinese)[钱长照、唐驾时 2006 物理学报 55 617]
[8] Liu S, Liu B, Zhang Y K, Wen Y 2010 Acta Phys. Sin. 59 38 (in Chinese)[刘爽、刘 彬、张业宽、闻 岩 2010 物理学报 59 38]
[9] Olgac N, Holm-Hansen B T 1996 Journal of Sound and Vibration 176 93
[10] Olgac N, Jalili N 1998 Journal of Sound and Vibration 218 307
[11] Jalili N, Olgac N 1999 Journal of Sound and Vibration 223 567
[12] Filipovic D, Olgac N 2002 Mechatronics 12 393
[13] Zhao Y Y, Xu J 2007 Journal of Sound and Vibration 308 212
[14] Zhao Y Y, Xu J, Yan Z G 2010 Acta Mechanica Sinica 42 747 (in Chinese)[赵艳影、徐 鉴、严志刚 2010 力学学报 42 747]
[15] Wirkus S, Rand R 2002 Nonlinear Dynamics 30 205
[16] Pai P, Schulz M 2000 International Journal of Mechanical Sciences 42 537
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