Adaptive non-linear control of a clamped rectangular plate with PZT patches

Ma, Kougen

doi:10.1016/s0022-460x(02)01220-8

Cited by 29 publications

(16 citation statements)

References 14 publications

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“…The main control algorithms are used in the vibration control of smart piezoelectric cantilever beam are as followings: PD control based on optimal position feedback [12], robust control [13], adaptive control [14,15], fuzzy control [16], artificial neural network control [17], LQR control method [18][19][20][21] etc. The objective of active vibration control is to quickly suppress bending and torsional modal vibration.…”

Section: Introductionmentioning

confidence: 99%

Adaptive vibration control of piezoelectric cantilever beams with uncertainties

Cui

Liu

Jiang

et al. 2021

Preprint

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Considering the stiffness characteristics of piezoelectric layer, the bending stiffness of piezoelectric cantilever beam is obtained by applying the first-order shear deformation theory. The finite element model of piezoelectric cantilever beam is established by Hamilton variation principle. At the maximum strain point, the sensors/actuators are equipped in pairs. Based on the uncertain dynamic model of piezoelectric cantilever beam, an adaptive sliding mode controller (ASMC) is designed by using backstepping technique. The correctness of the finite element model of cantilever beam established is verified by comparing the calculation results of ANSYS software. The effectiveness and superiority of the proposed the ASMC method are verified by the numerical simulations, in comparison with traditional linear quadratic regulator (LQR) control method.

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Section: Introductionmentioning

confidence: 99%

Adaptive vibration control of piezoelectric cantilever beams with uncertainties

Cui

Liu

Jiang

et al. 2021

Preprint

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“…In the past two decades, the problem of nonlinear vibration control of flexible structure has attracted more and more attentions, and many research outcomes have been achieved. For example, Ma 4 studied the nonlinear dynamic behavior and vibration control of a clamped rectangular plate with piezoelectric actuators, where an adaptive nonlinear controller was proposed. Lee and Guo 5 studied the active control of nonlinear vibration of a composite plate under random excitation, and four control methods (velocity feedback, lead, lag, and H∞) were employed in their work.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration control of a membrane antenna structure

Liu

Cai

Peng³

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this paper, the active control of nonlinear vibration of a membrane antenna structure is investigated. Considering the geometric nonlinearity of large amplitude vibration of the membrane, the von Karman type geometrical nonlinear strain–displacement relationship is employed in this paper. Then, a nonlinear dynamic model of the membrane antenna structure is established by using the finite element method. It is assumed that the amplitude of vibration of the structure is relatively small when the controller in on, and then a [Formula: see text] robust controller is developed to control the undesired nonlinear vibration of the membrane antenna structure based on the linearized model of the structure. Active control of both the free vibration and forced vibration of the structure are investigated. Numerical simulations are presented to study the nonlinearity of the large amplitude vibration of the structure and the effectiveness of the presented controller.

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“…Both the larger and the smaller amplitude vibrations were suppressed effectively. Ma (2003) presented an adaptive nonlinear control scheme to investigate the vibration reduction of the clamped rectangular plate with bonded piezoelectric ceramic patches. This algorithm introduces a nonlinear function into the normal adaptive feedforward control algorithm to nonlinearize a reference signal.…”

Section: Introductionmentioning

confidence: 99%

Vibration control of two-connected piezoelectric flexible plate using nonlinear algorithm and T-S fuzzy controller

Qiu

Ling

Zhang

et al. 2014

Journal of Intelligent Material Systems and Structures

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This article focuses on the active vibration control of a kind of two-connected piezoelectric flexible plate. A finite element model of the connected plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional vibrations. In this model, two connected hinges are simplified as regular plate elements to facilitate the system. A modified optimization method based on the energy dissipation rate is used for the optimal placement of piezoelectric sensors and actuators. The bending and torsional vibrations of the two-connected plate can be decoupled on measurement and driving control, due to the appropriate placement of the lead zirconate titanate sensors and actuators. The proportional and derivative control, the proposed nonlinear controller, and T-S fuzzy control algorithms are applied to suppress the bending and torsional vibrations of the two-connected plate. The numerical simulation and experimental results demonstrate that the last two control algorithms can suppress the low-order bending and torsional vibration more effectively than that of the designed proportional and derivative control algorithm.

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Adaptive non-linear control of a clamped rectangular plate with PZT patches

Cited by 29 publications

References 14 publications

Adaptive vibration control of piezoelectric cantilever beams with uncertainties

Adaptive vibration control of piezoelectric cantilever beams with uncertainties

Nonlinear vibration control of a membrane antenna structure

Vibration control of two-connected piezoelectric flexible plate using nonlinear algorithm and T-S fuzzy controller

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