scholarly journals Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation

2010 ◽  
Vol 17 (2) ◽  
pp. 187-203 ◽  
Author(s):  
Li Jun
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
Damping Ratio ◽  
High Amplitude ◽  
Control Technique ◽  
Feedback Gain ◽  
Flexible Beam ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Amplitude Vibration

The application of active linear absorber based on positive position feedback control strategy to suppress the high-amplitude response of a flexible beam subjected to a primary external excitation is developed and investigated. A mathematical nonlinear model that describes the single-mode dynamic behavior of the beam is considered. The perturbation method of multiple scales is employed to find the general nonlinear response of the system and four first-order differential equations governing the amplitudes and phases of the responses are derived. Then a stability analysis is conducted for the open- and closed-loop responses of the system and the performance of the control strategy is analyzed. A parametric investigation is carried out to investigate the effects of changing the damping ratio of the absorber and the value of the feedback gain as well as the effect of detuning the frequency of the absorber on the responses of the system. It is demonstrated that the positive position feedback control technique is effective in reducing the high-amplitude vibration of the model and the control scheme possesses a wide suppression bandwidth if the absorber's frequency is properly tuned. Finally, the numerical simulations are performed to validate the perturbation solutions.

scholarly journals Fuzzy logic aided PPF controller design to active vibration control of a flexible beam

2021 ◽  
Vol 4 (3) ◽  
pp. 184-195
Author(s):  
Erdi Gülbahçe ◽  
Mehmet Çelik
Keyword(s):  
Fuzzy Logic ◽  
Active Vibration Control ◽  
Free Vibrations ◽  
Flexible Beam ◽  
Linear Strain ◽  
Loop Control ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Close Loop Control ◽  
Tip Displacement

This paper presents a fuzzy-logic-based observer and a positive position feedback controller to reduce a standard beam's free vibrations using a piezoelectric actuator. It is aimed that fuzzy-logic-based observer is used as feed-through and improves the overall performance of the PPF controller. For this aim, the cantilever beam and a piezoelectric patch are initially numerically modeled using the finite element method considering the close loop control algorithm. The displacement and strain responses results are compared with the experimental model. Then, two controllers are applied to the designed system: positive position feedback (PPF) and fuzzy-logic-based positive position feedback (FLBPPF). The uncontrolled and controlled system responses are investigated and compared in terms of the linear strain and tip displacement results. Using the FLBPPF controller, the settling times of controlled systems are decreased by about 20.7% and 41.6% regarding the linear strain and tip displacement response compared to the PPF controller.

Adaptive robust attitude control and active vibration suppression of flexible spacecraft

2016 ◽  
Vol 231 (6) ◽  
pp. 1076-1087 ◽  
Author(s):  
Z Yu ◽  
Y Guo ◽  
L Wang ◽  
L Wu
Keyword(s):  
Feedback Control ◽  
Attitude Control ◽  
Control Method ◽  
Large Angle ◽  
Flexible Spacecraft ◽  
Positive Position Feedback ◽  
Flexible Appendage ◽  
Position Feedback ◽  
Feedback Control Method ◽  
Active Vibration

This paper presents the large angle attitude manoeuvre control design of a single-axis flexible spacecraft system that consists of a central rigid body and a cantilever beam with bonded piezoelectric sensor/actuator pairs as a flexible appendage. The proposed control strategy combines the attitude controller designed by the adaptive robust control technique with the active vibration controller designed by the positive position feedback control method. The desired angular position of the spacecraft is planned and an adaptive robust attitude control approach based on a projection type adaptation law is proposed to track the planned path and to achieve precise attitude manoeuvre control. Meanwhile, the positive position feedback control method is applied to actively increase the damping of the flexible appendage and to suppress the residual vibration induced by manoeuvre. Improved transient and steady state performance during and after large angle attitude manoeuvre can be both achieved by integration of the technical merits of all these control methods. Analytical and numerical results illustrate the effectiveness of this approach.

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