Optimal control of a distributed parameter system with applications to beam vibrations using piezoelectric actuators

Küçük, İsmail; Sadek, Ibrahim; Yilmaz, Yalcin

doi:10.1016/j.jfranklin.2012.10.008

Cited by 19 publications

(9 citation statements)

References 13 publications

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“…To satisfy both global and local exploration abilities as to attain the optimum solution, a modified training algorithm using an enhanced DE technique to optimally identify all weighting values of MLPNN NARX. It means that to fine-tuning and evolving the weighting vectors of MLPNN NARX described in Equation ( 5) to minimize the fitness function expressed in Equation (6). In this study, an EDE is proposed by a modified mutation scheme and providing suggestions for selecting CR, F, and NP parameters.…”

Section: Mlpnn Narx Optimized By Edementioning

confidence: 99%

“…4 To precision control, many control approaches have been proposed. Some linear control approaches had been applied for PZT actuators such as Proportional-Integral-Derivative (PID) control, 5 optimal control, 6 H-infinity control. 7 Some robust control techniques have been applied to solve the uncertainties and nonlinearities such as sliding mode control (SMC), 8 back-stepping control.…”

Section: Introductionmentioning

confidence: 99%

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Hysteresis compensation and adaptive control based evolutionary neural networks for piezoelectric actuator

2021

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This manuscript introduces a new adaptive inverse neural (AIN) control method applied to precisely track the piezoelectric (PZT) actuator displacement.First, a 3-layer neural network optimized by the enhanced differential evolution technique which modifies a mutation scheme and provides suggestions for selecting mutant coefficient F, crossover coefficient CR, and population size NP, is used to identify the inverse nonlinearity hysteresis structure of the PZT actuator. Second, a feed-forward control based on the identified model is proposed to compensate for the PZT hysteresis effect. Third, the Lyapunov stability principle is used to design and implement an adaptive law-based neural sliding mode model plus the feed-forward compensator to ensure that the whole PZT plant is operated in asymptotical stability. The experiment results demonstrate the proposed AIN controller proves superiority in comparison with other advanced control methods. K E Y W O R D S adaptive inverse neural controller, back-propagation, enhanced differential evolution, hybrid adaptive inverse neural control, Lyapunov stability concept

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Section: Mlpnn Narx Optimized By Edementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hysteresis compensation and adaptive control based evolutionary neural networks for piezoelectric actuator

2021

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“…Employing the Euler–Bernoulli beam theory, the dynamic analysis of the laminated beams driven by distributed piezoelectric actuators was carried out by Maurini et al (2006). Kucuk et al (2014) used the variational approach and Galerkin method to discuss the vibration behavior of the smart beam systems controlled by distributed piezoelectric actuators. Tajeddini and Muliana (2015) analyzed the large deformation of the elastic and viscoelastic slender beams attached with distributed piezoelectric actuators through the nonlinear piezoelectric constitutive equations and finite deformation beam theory.…”

Section: Introductionmentioning

confidence: 99%

Least-squares method for laminated beams with distributed braided piezoelectric composite actuators

Zhou

Wang

et al. 2020

Journal of Intelligent Material Systems and Structures

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Piezoelectric ceramics are a very popular material in the field of actuator technology due to their unique piezoelectric properties. However, the brittle behavior of ceramics endangers the reliability of piezoelectric actuators. In this article, the three-dimensional braided piezoelectric composite is utilized to ameliorate the reliability and driving capability of piezoelectric actuators. The static analysis of laminated beam with the distributed braided piezoelectric composite actuator is presented to study its driving capability. Based on the piezoelectric constitutive equations and Euler–Bernoulli beam theory, the governing equation of the piezoelectric laminated beam is derived. The least-squares method for the piezoelectric laminated beam is established to solve the derived governing equation. The current approach is validated by comparison with published results and finite element results. In the numerical examples, the effects of the number and spacing of the three-dimensional braided piezoelectric composite patches, actuator central location, actuator length, actuator thickness ratio, cantilever beam thickness, applied voltage and fiber volume fraction on the driving capability of the distributed braided piezoelectric composite actuator are investigated. This study suggests the potential use of the distributed braided piezoelectric composite actuator in intelligent structures and provides useful guidance for the design and optimization of piezoelectric actuators.

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“…Shin et al (2013) proposed a filtered-velocity feedback control scheme to stabilize a clamped beam with a noncollocated sensor/actuator configuration. Kucuk et al (2014) investigated the active, optimal, vibration control of the beams' transverse modes. Moradi et al (2014) proposed a fuzzy controller to stabilize the vibrations of a nonlinear beam.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of carbon nanotube reinforced composite beams

Mirghaffari

Rahmani

2016

Transactions of the Institute of Measurement and Control

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In this paper, active vibration control of carbon nanotube reinforced composite beams subjected to a temperature rise is studied. For this purpose, piezoelectric patches are used as sensors to measure the displacement of the beam and as actuators to implement control forces. The governing equation of motion of this beam is derived from the Euler-Bernoulli theory and Hamilton's principle. Galerkin's method is utilized to obtain the temporal ordinary differential equations. An optimal observer-based output feedback controller is designed by the linear quadratic regulator (LQR) methodology to ensure closed-loop stability. Simulation studies demonstrate the effectiveness of the proposed method.

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Optimal control of a distributed parameter system with applications to beam vibrations using piezoelectric actuators

Cited by 19 publications

References 13 publications

Hysteresis compensation and adaptive control based evolutionary neural networks for piezoelectric actuator

Hysteresis compensation and adaptive control based evolutionary neural networks for piezoelectric actuator

Least-squares method for laminated beams with distributed braided piezoelectric composite actuators

Active vibration control of carbon nanotube reinforced composite beams

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