Positive position feedback (PPF) controller for suppression of nonlinear system vibration

El-Ganaini, W. A.; Saeed, Nasser A.; Eissa, M.

doi:10.1007/s11071-012-0731-5

Cited by 73 publications

(50 citation statements)

References 18 publications

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“…Therefore, it is important to tune the natural frequency ω 1 of the controller to near the excitation frequency Ω. This results are in excellent agreement with previous work [20]. Figure 19 shows the time history of the main system for the four cases …”

Section: Frequency-response Curvessupporting

confidence: 86%

Analysis of vibration suppression of master structure in nonlinear systems using nonlinear delayed absorber

Chen

Chung

et al. 2014

Int. J. Dynam. Control

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In this paper, a nonlinear delayed absorber is proposed by a delayed feedback loop and is utilized to absorb or suppress the vibration of a two-degree-of-freedom nonlinear system when the primary resonance and the 1:1 internal resonance occur simultaneously. To explain analytically mechanism of performance of the absorber, an integral equation method is provided to obtain the second order approximation and the amplitude equations. As a result, the feedback gain and time delay which make the amplitude of the main system equal to zero can be derived analytically. Optimal working conditions of the system are extracted from the time delay-response curves, the force-response curves and the frequency-response curves. In the illustrative example, the appropriate choice of feedback gains and time delays can reduce the amplitude of the main system by more than 98 % in comparison with the amplitude with no time delay. All analytical predictions are in excellent agreement with the numerical simulations.

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Section: Frequency-response Curvessupporting

confidence: 86%

Analysis of vibration suppression of master structure in nonlinear systems using nonlinear delayed absorber

Chen

Chung

et al. 2014

Int. J. Dynam. Control

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“…One of the methods that have been used for many vibration control purposes is the Positive Position Feedback (PPF) [17]. The PPF controller was later discussed and used for a nonlinear dynamic model [18,19]. Although unwanted vibrations are reduced to lower levels using the PPF controller, the closed-loop system becomes more flexible, leading to a larger steady-state error [20].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Omidi

Mahmoodi

2014

Nonlinear Dyn

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This paper introduces Nonlinear ModifiedPositive Position Feedback (NMPPF) control approach for nonlinear vibration suppression at primary resonance. Nonlinearity in the system is due to large deformations caused by high-amplitude disturbances, while this control approach is applicable to all types of nonlinearities in resonant structures. NMPPF controller consists of a resonant second-order nonlinear compensator, which is enhanced by a lossy integrating compensator. The two compensators create a combination of exponential and periodic control inputs, which needs innovative time scaling for using the Method of Multiple Scales to obtain the analytical solution of the closedloop system. The results of the analytical solution for the closed-loop NMPPF controller are presented and compared with the result of the conventional PPF controller. Effects of the control parameters on the system response are comprehensively studied by parameter variations. The approximate solution is then verified using numerical simulations. According to the results, the NMPPF controller provides a higher level of suppression in the overall frequency domain, as the peak amplitude at the neighborhood frequencies of the primary mode is reduced by 44 %, compared to the PPF method. The tunable control parameters also give more flexibility to create the expected type of system response.

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“…Let the state x 5 in (44) be the unmodeled dynamic (or modeling error), thus the nominal model for the positive position feedback (PPF) scheme [29][30][31][32][33][34] is…”

Section: Examplementioning

confidence: 99%

Second-order continuous characteristic model based adaptive control for a class of linear systems

Zhou

2017

Cluster Comput

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A novel second-order continuous characteristic model for a class of linear systems is proposed, which is different from the traditional discrete characteristic model. The proposed continuous characteristic model has convenient structure denoted by a second-order time-varying differential equation and is equivalent to its original plant in output for the same input. Then the continuous characteristic model is applied to a class of linear plants whose parameters are unknown bounded with bounded derivatives and output is affected by unknown bounded disturbances. As the characteristic parameters of the continuous characteristic model are usually fast time-varying, therefore, the robust adaptive dynamic surface control technique is combined with the continuous characteristic model. The design procedure of proposed adaptive control scheme is simple and the control law is easy to be implemented. With the continuous characteristic model, the state observer is not necessary and the plant system order and structure can be unknown. Finally, it has been proved that all the closed-loop signals are semi-globally uniformly ultimately bounded with the proposed adaptive control scheme. Simulation results have demonstrated that proposed adaptive control scheme has perfect performances.

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Positive position feedback (PPF) controller for suppression of nonlinear system vibration

Cited by 73 publications

References 18 publications

Analysis of vibration suppression of master structure in nonlinear systems using nonlinear delayed absorber

Analysis of vibration suppression of master structure in nonlinear systems using nonlinear delayed absorber

Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Second-order continuous characteristic model based adaptive control for a class of linear systems

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