Self-adaptive modal control for time-varying structures

Deng, Fujin; Rémond, Didier; Gaudiller, Luc

doi:10.1016/j.jsv.2011.01.004

Cited by 9 publications

(4 citation statements)

References 21 publications

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“…When it comes to active modal control of complex smart structures, the identification stage can be simplified from an analytical or FE model approach as mentioned earlier to a curve-fitting problem where the frequency response functions (FRFs) of the PZT sensors to the actuators are considered as sums of n modal responses, described with 2nd order rational transfer functions. The modal parameters such as frequency and damping ratio are then estimated for each observed/controlled mode from the FRF and implemented into a state-space realization of the system [14,15].…”

Section: Introductionmentioning

confidence: 99%

Experimental modal identification of smart composite structure applied to active vibration control

Rodríguez¹,

Collet²,

Chesné³

2021

Smart Mater. Struct.

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This paper proposes an experimental modal identification method for vibration control of multi-actuators and multi-sensors complex smart structures. The general formulation avoids the difficulty of the coupling coefficients identification in electromechanical systems through a modal reduced-order model and uses first-order polynomials as phase correctors for the numerators of the identified transfer functions. Then, a frequency-shaped linear quadratic controller is designed to control multiple modes on a smart composite structure with integrated transducers. The experimental results obtained in terms of multi-modal vibration control were promising with attenuations up to 20 dB on the target modes, confirming the efficiency of the proposed identification and control method for future applications with more extended and complex composite smart structures.

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Section: Introductionmentioning

confidence: 99%

Experimental modal identification of smart composite structure applied to active vibration control

Rodríguez¹,

Collet²,

Chesné³

2021

Smart Mater. Struct.

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“…8,9 Combining real-time identification and adaptive modal control, a self-adaptive modal control was proposed to design an effective controller for time-varying structures. 10 In addition, an integrated structural health monitoring (SHM) and vibration control algorithm was proposed, in which the online SHM is applied to enhance the performance of the structural vibration control technique. 11 By combining a model-reference adaptive control algorithm with an interstory drift-based acceleration feedback method, a hybrid real-time SHM and control system was presented.…”

Section: Introductionmentioning

confidence: 99%

Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

Ghaderi

Goshtaei

2020

Adv Control Appl

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Although vibration control and health monitoring of structures have been treated separately in recent years, it will be beneficial to integrate these two systems and develop a smart structure with its own sensors, processors, and actuators. In this article, an integrated virtual synchronization method/linear‐quadratic regulator (VSM/LQR) approach for system identification and vibration control of structures with unknown physical parameters is proposed. First, based on the measured state of the structure, the unknown structural parameters are estimated using the VSM in a relatively short duration. The estimated parameters are then employed to determine optimal control forces for the purpose of the vibration control. The feasibility and effectiveness of the proposed approach are numerically examined through the time‐history analysis of two shear‐type frames with unknown stiffness coefficients. The results from the numerical investigation of the example structures demonstrate that the proposed method is effective in the vibration attenuation of structures with unknown parameters. Moreover, it was shown that the proposed VSM/LQR approach is more promising for addressing unknown structural parameters than the recursive least square method and conventional LQR method.

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“…The situation becomes worse if the systems are nonlinear. Therefore, much research effort has been devoted to the active control of PTV systems (Yanga et al, 2004;Deng et al, 2011;Zhang et al, 2012). Most of the control schemes are dependent on a mathematical or estimated model and cannot converge the moment the model is obtained.…”

Section: Introductionmentioning

confidence: 99%

An active vibration control system with decoupling scheme for linear periodically time-varying systems

Wang

Mak

2014

Journal of Vibration and Control

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For the active vibration control (AVC) of periodically time-varying systems, the filtered-x least mean squares (FXLMS) method is widely applied. Many AVC systems based on FXLMS employ two coupled adaptive processes – online modeling or identification and controller updating – to track the parametric change and realize the real-time updating of the control signal. Errors in one process can affect the other. When one process converges, it takes several steps for the other process to converge. After they both converge, it is difficult to tell whether the controller is optimal or not. Therefore, it is difficult to evaluate the influence of the coupling effect and perform a rigorous derivation. In this study, the new AVC system adopts adaptive identification and non-adaptive control to avoid the coupling effect, and the necessary condition for decoupling is obtained. This condition guarantees that the optimal controller can be obtained the moment the system identification process converges, and meanwhile boosts the convergence of the identification process. The robustness of the identification process with the self-tuning mechanism and the optimization of the controller are proved by rigorous derivation. A simple but representative numerical verification is presented to verify the effectiveness of the proposed AVC system.

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Self-adaptive modal control for time-varying structures

Abstract: International audienc

Cited by 9 publications

References 21 publications

Experimental modal identification of smart composite structure applied to active vibration control

Experimental modal identification of smart composite structure applied to active vibration control

Smart vibration control of structures with unknown structural parameters using integratedvirtual synchronization method/linear‐quadratic regulatorapproach

An active vibration control system with decoupling scheme for linear periodically time-varying systems

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