Simulation study of active control of vibro-acoustic response by sound pressure feedback using modal pole assignment strategy

Li, Sheng; Yu, Danzhu

doi:10.1177/0263092316659407

Cited by 9 publications

(11 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It can make the W 1 ð jwÞ present a peak shape in dominant frequency, thus the Sð jwÞ and the W 1 À1 ð jwÞ manifest themselves as a null in dominant frequency, which indicates that the entire feedback control system can highly suppress the disturbance signal containing the dominant frequency component. If only a dominant frequency is to be suppressed, W 1 can be selected as a single peak shape with the peak value located at the dominant frequency, as shown in formula (5) and (6)…”

Section: Selection Of the Weighting Functionmentioning

confidence: 99%

“…In equations (5) and (6), w d is the dominant frequency which needs suppressing; k and are regarded as adjustment parameters when selecting W 1 .…”

Section: Selection Of the Weighting Functionmentioning

confidence: 99%

“…However, this requires a lot of parameters and greatly affects the acceptability of the control effect. Harmonic control method 5 and the adaptive feed-forward control method based on recursive least square algorithm, 6 which has large steady-state error although it converges faster than LMS algorithm. These control algorithms utilize the reference signals and the error signals to adjust the controller parameters according to corresponding updating formulas in the control process, before calculating and outputting a control signal to achieve the purpose of active vibration control.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

Song

Xiao

et al. 2017

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

Reducing the vibration of marine power machinery can improve warships' capabilities of concealment and reconnaissance. Being one of the most effective means to reduce mechanical vibrations, the active vibration control technology can overcome the poor effect in low frequency of traditional passive vibration isolation. As the vibrations arising from operation of marine power machinery are actually the frequency-varying disturbances, the H 1 control method is adopted to suppress frequency-varying disturbances. The H 1 control method can solve the stability problems caused by the uncertainty of the model and reshape the frequency response function of the closed loop system. Two-input twooutput continuous transfer function models were identified by using the system identification method and are validated in frequency domain of which all values of best fit exceeds 89%. The method of selecting the weighting functions on the mixed sensitivity problem is studied. Besides, the H 1 controller is designed for a multiple input multiple output (MIMO) system to suppress the single-frequency-varying disturbance. The numerical simulation results show that the magnitudes of the error signals are reduced by more than 50%, and the amplitudes of the dominant frequencies are attenuated by more than 10 dB. Finally, the single excitation source dual-channel control experiments are conducted on the floating raft isolation system. The experiment results reveal that the root mean square values of the error signals under control have fallen by more 74% than that without control, and the amplitudes of the error signals in the dominant frequencies are attenuated above 13 dB. The experiment results and the numerical simulation results are basically in line, indicating a good vibration isolation effect.

show abstract

Section: Selection Of the Weighting Functionmentioning

confidence: 99%

“…In equations (5) and (6), w d is the dominant frequency which needs suppressing; k and are regarded as adjustment parameters when selecting W 1 .…”

Section: Selection Of the Weighting Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

Song

Xiao

et al. 2017

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

show abstract

“…Zhang et al [32][33][34] presented some algorithms to solve the partial eigenvalue assignment for high-order systems by single-input control or multi-input control. Many researchers [35][36][37] also studied this problem based on various feedback signals, such as the sound pressure signal, displacement feedback signal, and acceleration feedback signal.…”

Section: Introductionmentioning

confidence: 99%

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

Chen

Ouyang

et al. 2019

Applied Sciences

View full text Add to dashboard Cite

With the large-scale and complexity of ship propulsion shafting, it is more difficult to analyze and control the torsional vibration of shafting. Therefore, an effective control method for the torsional vibration of shafting is of great significance in the field of ship engineering. The main strategy of torsional vibration control adopted in this paper is to keep the natural frequency of a shaft system away from the excitation frequency through structural modifications. In addition, because the basic parameters of much of the equipment in engineering applications cannot be changed, this restriction cannot be ignored when seeking solutions related to structural modifications. This paper studies the partial eigenvalue assignment for the torsional vibration control of complex ship propulsion shafting using the gradient flow method, which can shift a “dangerous” natural frequency to a safe value, while satisfying complex physical constraints. The models of a ship propulsion system and a diesel generator set are established to demonstrate several different desired modification schemes and constraint conditions in practice. In particular, close frequencies are shifted. The numerical simulation results demonstrate that it is effective and feasible to make a partial frequency assignment of torsional vibration, which provides a reliable approach for the control of torsional vibration for complex shaft systems in practical engineering.

show abstract

“…Models with second-order di®erential equations are ubiquitous when modeling vibrating or oscillatory phenomena. Structures of buildings, highways, aircraft, spacecraft, tool machines and rotors, among others, [1][2][3][4][5][6][7] exhibit a rich description with second-order models obtained by¯nite element or lumped parameter analysis. Hence, the vibration modes, resonance or°utter prediction, and prevention using active control systems can be implemented easily.…”

Section: Introductionmentioning

confidence: 99%

No Spillover Eigenvalues Assignment of Second-Order Systems with Dense Force Actuators Matrices Using Brauer’s Theorem

Araújo

Santos

2019

Int. J. Str. Stab. Dyn.

View full text Add to dashboard Cite

This paper presents an approach for eigenvalue assignment in second-order linear systems with no spillover property. Second-order differential equations arise from dynamical modeling of vibrating structures by finite element or lumped parameter first principles approach in several practical problems. Certain structures can face practical issues when subjected to external perturbation forces, as resonance or flutter type vibrations. The control of excessive vibrations can be attempted by techniques of active vibration control using linear feedback. To change only a few eigenvalues and eigenvectors that cause excessive vibrations, the requirement of no spillover property is a somewhat attractive issue. Furthermore, only the part of the eigenstructure whose eigenvalues must be reassigned is necessary to be known for an efficient parametrization of the feedback matrices. Brauer’s theorem, a milestone result of linear algebra, as well as some recent related results, is applied here to achieve partial eigenvalue assignment using dense force actuator (influence) matrices. The proposal can be applied to general systems with no restriction on the mass, damping, and stiffness with symmetry or definiteness. The procedures to implement the proposal are synthesized in a step-by-step form, and some numerical examples are given to illustrate its application.

show abstract

Simulation study of active control of vibro-acoustic response by sound pressure feedback using modal pole assignment strategy

Cited by 9 publications

References 29 publications

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

No Spillover Eigenvalues Assignment of Second-Order Systems with Dense Force Actuators Matrices Using Brauer’s Theorem

Contact Info

Product

Resources

About

Simulation study of active control of vibro-acoustic response by sound pressure feedback using modal pole assignment strategy

Cited by 9 publications

References 29 publications

H∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

H∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

No Spillover Eigenvalues Assignment of Second-Order Systems with Dense Force Actuators Matrices Using Brauer’s Theorem

Contact Info

Product

Resources

About

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system

H_∞ active control of frequency-varying disturbances in a main engine on the floating raft vibration isolation system