利用时滞反馈控制自参数振动系统饱和控制减振频带

赵艳影; 杨如铭

doi:10.7498/aps.60.104304.2

摘要

研究了采用时滞反馈来控制自参数振动系统中饱和控制的减振频带的分布问题.在原始的无时滞自参数振动系统中,饱和控制的减振频带在某些内共振解谐参数范围内出现不稳定区域,饱和控制的减振频带分布不合理.通过引进时滞反馈可以控制减振频带的分布.主要分析了反馈增益系数和时滞量两控制参数对饱和控制减振频带分布的影响.研究结果表明,通过调节反馈增益系数和时滞量两参数,可以消除饱和控制减振频带中的不稳定区域,同时能够保证减振频带的宽度不变窄,从而控制和改善了饱和控制减振频带的分布.

关键词:

时滞 /
饱和控制 /
反馈 /
内共振解谐

Abstract

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.

Keywords:

作者及机构信息

1.
南昌航空大学飞行器工程学院,南昌 330063

基金项目: 国家自然科学基金青年科学基金(批准号:10802035)资助的课题.

Authors and contacts

1.
School of Aircraft Engineering, Nanchang Hangkong University, Nanchang 330063, China

参考文献

[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

施引文献

[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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