Active vibration optimal control of piezoelectric cantilever beam with uncertainties

Cui, Mingyue; Liu, Hongzhao; Jiang, Hualong; Zheng, Yang; Wang, Xing; Liu, Wei

doi:10.1177/00202940221091244

Cited by 11 publications

(5 citation statements)

References 39 publications

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“…For example, the structural vibrations for a long time can result in the fatigue failure, instability, or catastrophic failure Zorić et al (2014). Hence, the control of vibrations has become a technical challenge, and some vibration control strategies are applied in Khot et al (2012); Zhu et al (2017); Singh et al (2021); Cui et al (2022) to reduce the intensity of undesired vibrations in operational systems. In Singh et al (2021), an active vibration control of smart cantilever beam is proposed, in which, poling tuned piezoelectric actuator has been used.…”

Section: Introductionmentioning

confidence: 99%

“…In Singh et al (2021), an active vibration control of smart cantilever beam is proposed, in which, poling tuned piezoelectric actuator has been used. Considering the uncertain dynamic model of piezoelectric cantilever beam, the independent modal space control method based on linear quadratic regulator (LQR) control has been studied in Cui et al (2022) for the active vibration control of the smart beam structure.…”

Section: Introductionmentioning

confidence: 99%

“…According to the contents stated above, some authors have studied the methods of harvesting vibrational energy Salem et al (2021); Wu et al (2018); Zhang et al (2019); Peigney and Siegert (2020) and some others have investigated the purpose of controlling the vibrations of the structure Khot et al (2012); Zhu et al (2017); Singh et al (2021); Cui et al (2022). However, less research has been done on both vibration control and energy harvesting issues Yousefpour et al (2020).…”

Section: Introductionmentioning

confidence: 99%

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Adaptive tracking control of a new nonlinear energy harvester system based on the cantilever beam structure

Oveysi Sarabi,

Shooshtari

2023

Journal of Vibration and Control

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In this paper, an energy harvester consisting of a cantilever beam, magnets, and magnetic springs embedded on its structure is proposed to harvest electricity energy. In order to extract energy from the system permanently, an adaptive controller is proposed. With the help of the proposed controller, it is prevented from damping the oscillations of the beam or excessive increasing in the amplitude of these oscillations. Also, the use of the proposed controller provides the possibility that despite the presence of unknown external disturbances such as wind waves and sudden changes of sea waves, as well as the uncertainty of the parameters of the cantilever beam, a permanent energy is harvested from the proposed mechanism. The equations describing the electromechanical behavior of the proposed mechanism are derived from Lagrange equations. On the other hand, dynamic surface control technique is employed to design the adaptive and control laws. The stability of the closed-loop system is shown using Lyapunov stability theory, and the tracking error converges to a small neighborhood around the origin. Numerical simulation for cantilever beam is investigated to clarify the effectiveness of the proposed mechanism and controller.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive tracking control of a new nonlinear energy harvester system based on the cantilever beam structure

Oveysi Sarabi,

Shooshtari

2023

Journal of Vibration and Control

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“…Modern optimal controllers like Linear quadratic regulator (LQR), linear quadratic Gaussian (LQG), and H-infinity [16] are implemented in experimental investigations for active vibration control of cantilever beams. Simulation and experimental studies have highlighted the independent modal space optimal control techniques based on LQR [17] for the active control of the smart beam structure incorporating uncertainties. Fractional order model reference adaptive controllers have also been explored to achieve active vibration isolation of piezo actuated systems [18].…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Investigations on Robust Output Feedback Control for Active Vibration Attenuation of Flexible Smart System

Parameswaran,

Padmasali,

Gangadharan

2023

IEEE Access

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This paper investigates the prototyping and implementation of an output feedback-based robust controller on a field programmable gate array (FPGA) platform. The smart system under test (SSuT) in this submission is a flexible cantilever beam bonded with piezoelectric (PZT 5H) patches that act as a sensor as well as an actuator (perturbance creation as well as control actuation). For ease of modeling and subsequent controller design in the laboratory studies, the low-frequency dynamics of the smart system are approximated to only a single degree of freedom (SDOF) in terms of flexural vibrations. The smart system under study (SSuT) is modeled analytically through finite element modeling and experimentally through sub-space system identification process. The developed models' accuracy is compared with the experimental results of non -parametric modeling. The developed models are then used to conduct the simulation studies with the designed robust output feedback controller in the closed loop. Apart from the simulation studies, the designed controller was also prototyped on an FPGA platform using LabVIEW FPGA with the associated hardware in loop to carry out the experimental validation of its performance. The robustness and efficiency of the prototype controller to control the system vibrations in real-time were proved through extensive tests at single resonant frequencies and a range of frequencies encompassing the dominant resonant regions in the flexural mode. Findings from this study are further used to ensure satisfactory active vibration control of smart cantilever systems in various heavy/aerospace industries by approximating them to suitable benchmark systems in the laboratory.

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“…They were able to measure modal capacitance using system eigenfrequencies. Cui et al (2022) obtained the bending stiffness of piezoelectric beams by implementing the first-order shear deformation theory (FSDT) through FE models. In their study, the independent modal space control approach using linear quadratic regulator (LQR) control was applied based on the uncertain dynamic model of the system.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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The implementation of deterministic design approaches in the presence of uncertainty is an adequate design task. Probabilistic methods are then used in structural design procedures, offering structural safety predictions. In this study, reliability-based analysis of a piezoelectric laminated composite plate subjected to the mechanical loads was investigated, accounting for the epistemic source of uncertainty. Material properties of the plate were considered temperature-dependent. The sophisticated mesh-free finite volume approach was employed to actively control the vibration of the temperature-dependent piezoelectric laminated composite plate through the first-order shear deformation principles. The induced vibration was treated as a non-stationary random process, and the generalized failure index was estimated using the first-passage probability concept by adopting the novel asymptotic sampling technique. The veracity of the suggested model was corroborated by alternate approaches in the literature, comprising the finite element approach. Furthermore, the temperature-dependent piezoelectric laminated composite plate with different ply orientations was considered to assess the safety index variation against changes in the ambient temperature and the laminate stacking orientation. The obtained results revealed that with increasing temperature, the reliability of the composite plate reduced. It was also realized that the reliability index is directly correlated with the piezoelectric voltage.

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Active vibration optimal control of piezoelectric cantilever beam with uncertainties

Cited by 11 publications

References 39 publications

Adaptive tracking control of a new nonlinear energy harvester system based on the cantilever beam structure

Adaptive tracking control of a new nonlinear energy harvester system based on the cantilever beam structure

Numerical and Experimental Investigations on Robust Output Feedback Control for Active Vibration Attenuation of Flexible Smart System

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

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