NDLI: Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system

Content Provider	Springer Nature Link
Author	Zhao, Y. Y. Xu, J.
Copyright Year	2011
Abstract	In the present paper, the delayed feedback control is applied to suppress or stabilize the vibration of the primary system in a two degree-of-freedom dynamical system with parametrically excited pendulum. The case of a 1:2 internal resonance between pendulum and primary system is studied. The method of multiple scales is applied to obtain second-order approximations of the response of the system. The system stability and bifurcations of equilibrium point of the averaged equations are computed. It is shown that the delayed feedback control can be used to suppress the vibration or stabilize the system when the saturation control is invalid. The vibration of the primary system can be suppressed by the delayed feedback control when the original system is in the single-mode motion. The effect of gain and delay on the vibration suppression is discussed. As the delay varies at a fixed value of the gain, the vibration of the primary system can be suppressed at some values of the delay. The vibration suppression performance of the system is improved at a large value of the gain. The vibration of the primary system could be suppressed about 56% compared with the original system by choosing the appropriate values of gain and delay. The delayed feedback control also can be used to stabilize the system when the original system is unstable. The gain and delay could be chosen as the controlling parameters. Numerical simulation is agreement with the analytical solutions well.
Starting Page	735
Ending Page	753
Page Count	19
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	67
Issue Number	1
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2011-04-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Vibration suppression Delay Dynamical vibration absorber Delayed feedback control Mechanical Engineering Vibration, Dynamical Systems, Control Automotive Engineering Mechanics
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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