LQR and PID Algorithms for Vibration Control of Piezoelectric Composite Plates

Ezzraimi, Madjid; Tiberkak, Rachid; Melbous, Abdelkader; Rechak, Saïd

doi:10.5755/j01.mech.24.5.20645

Cited by 14 publications

(10 citation statements)

References 13 publications

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“…Adjusting this type of controller is often a matter of experience. Its independence towards the model of the system is a guarantee of robustness when applied to known, linear, and little-variant systems [18].…”

Section: Pid and Lqr Controllersmentioning

confidence: 99%

A Comparative Study on Hybrid Vibration Control of Base-isolated Buildings Equipped with ATMD

Jaballah

Harzallah²,

Nail³

2022

Eng. Technol. Appl. Sci. Res.

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The vibration control for building structures using hybrid control (base isolators BI and Active Tuned Mass Dampers-ATMDs) has attracted the attention of researchers. This paper establishes a hybrid vibration control system of structure and compares structural response and active tuned mass damper performance among the structure using two different control algorithms (PID and LQR). Through simulation research, from the comparative analysis of performance indexes of structural response and ATMD performance, it is concluded that the LQR controller outperforms the PID controller in reducing the structural responses.

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Section: Pid and Lqr Controllersmentioning

confidence: 99%

A Comparative Study on Hybrid Vibration Control of Base-isolated Buildings Equipped with ATMD

Jaballah

Harzallah²,

Nail³

2022

Eng. Technol. Appl. Sci. Res.

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“…A reduced model is then used to examine the first ''nm'' modes. Therefore, the modal displacement vector is expressed as (Ezzraimi et al, 2018):…”

Section: Development Of the Space-state Equationsmentioning

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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“…These algorithms for active vibration control of plates are applied in [4, 7, 12, 15, 19, 22-24, 31, 36-41]. The Proportional-Integer-Derivative (PID) control algorithm for active vibration control of smart flexible structures is investigated in [16,[42][43][44]. Combination of the fractional calculus and the classical control algorithm results in the fractional order (FO) control.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…The FO positive position feedback compensator is studied in [48]. The optimal control algorithm such as the linear quadratic regulator (LQR) and the linear quadratic Gaussian (LQG) algorithms are also widely used for active vibration control of smart flexible plates [4,5,8,10,11,13,20,32,37,44,[49][50][51][52][53][54]. The major disadvantage of the LQR and the LQG algorithms is the fact that they require an exact mathematical model of the structure.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators

Zorić

Tomović

Obradović

et al. 2019

Journal of Sound and Vibration

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LQR and PID Algorithms for Vibration Control of Piezoelectric Composite Plates

Cited by 14 publications

References 13 publications

A Comparative Study on Hybrid Vibration Control of Base-isolated Buildings Equipped with ATMD

A Comparative Study on Hybrid Vibration Control of Base-isolated Buildings Equipped with ATMD

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

Active vibration control of smart composite plates using optimized self-tuning fuzzy logic controller with optimization of placement, sizing and orientation of PFRC actuators

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