Active structural vibration control: Robust to temperature variations

Gupta, Vivek; Sharma, Manu; Thakur, Nagesh

doi:10.1016/j.ymssp.2012.07.009

Cited by 37 publications

(17 citation statements)

References 39 publications

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“…Finally, closed-loop control is done using negative velocity feedback method (Gupta et al, 2012;Sharma et al, 2015b). External voltage applied on the piezoelectric actuator is calculated as…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…Variation of piezoelectric coefficient e 31 and permittivity 2 33 with change in AC electric field can be included in constitutive equations using curve fit method and AVC of smart piezo structure can be done by including these equations in Kalman estimator. AVC of a cantilevered plate using piezoelectric patches can be done at elevated temperatures without loss in performance by considering augmented constitutive equations of piezoelectricity (Gupta et al, 2011(Gupta et al, , 2012. Where augmented constitutive equations in e-form are given as (2009) and Wang et al (2003) and 2 33 is calculated from value of 2 33 /2 0 given by Wang et al (1998Wang et al ( , 2003.…”

Section: Introductionmentioning

confidence: 99%

“…Augmented constitutive equations can be incorporated in finite element model and Kalman estimator and subsequently vibrations can be controlled using negative velocity feedback (Gupta et al, 2011(Gupta et al, , 2012. This technique of doing temperature compensation in a piezo smart structure requires online updation with temperature to be done of values of piezoelectric coefficient and permittivity in the Kalman observer.…”

Section: Introductionmentioning

confidence: 99%

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Temperature compensation in a smart structure by application of DC bias on piezoelectric patches

Sharma

Vig

Kumar

2016

Journal of Intelligent Material Systems and Structures

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A novel technique is presented to maintain closed-loop performance of a smart piezo structure at an elevated temperature. Square cantilevered plate instrumented with a piezoelectric sensor and a piezoelectric actuator is taken as a test structure. Finite element model of the smart plate is developed using Hamilton's principle. Finite element model is reduced to first three modes using modal truncation and subsequently a model in state space is derived. First three modal displacements and velocities are observed by a Kalman observer. Negative first modal velocity feedback is employed to control structural vibrations. Performance of the smart structure in open loop as well as in closed-loop changes appreciably at elevated temperature because piezoelectric strain coefficient as well as permittivity increases with increase in temperature. This change in performance is successfully suppressed by application of suitable DC bias on piezoelectric patches. DC bias applied on sensor is blocked from entering signal conditioner by a DC blocker circuit. DC blocker circuit is simulated in LTspice Ò software to verify its performance.

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Section: Mathematical Modellingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Temperature compensation in a smart structure by application of DC bias on piezoelectric patches

Sharma

Vig

Kumar

2016

Journal of Intelligent Material Systems and Structures

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“…In fact, many practical control problems involve the systems whose dynamics depend on some measurable exogenous parameters. For example, many vibration control systems are required to function across a variety of different temperatures, however, the variation of ambient temperature can change the structural natural frequencies and piezoelectric stress and permittivity coefficients, thus the applied control effort has to consider such temperature dependence (Hegewald and Inman, 2001;Chettah et al, 2009;Gupta et al, 2012). This kind of control problem is readily to be handled with the proposed quantitative robust LPV H ∞ control method which considers the time-varying temperature as the scheduled variable.…”

Section: Quantitative Robustness Analysis Of the Closed-loop Systemmentioning

confidence: 99%

Quantitative robust linear parameter varying H_∞ vibration control of flexible structures for saving the control energy

Zhang

Scorletti

Ichchou

et al. 2014

Journal of Intelligent Material Systems and Structures

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Quantitative robust linear parameter varying H∞ vibration control of flexible structures for saving the control energy. Abstract In this article, a general and systematical quantitative robust linear parameter varying (LPV) control method is proposed for active vibration control of LPV flexible structures such that a complete set of control objectives can be considered, especially, the reduction of necessarily required control energy. To achieve this goal, phase and gain control policies are employed in LPV H ∞ control designs for suitable selection of weighting functions. The designed parameter-dependent H ∞ controller allows us to explicitly consider the time-varying parameters of the dynamical models for saving the control energy and achieving other control objectives such as the specification of vibration reduction and qualitative robustness properties to both parametric and dynamic uncertainties. Then, various reliable robustness analyses are conducted to quantitatively verify the robustness properties of the closedloop system. The design processes and the effectiveness of the proposed control method are illustrated by active vibration control of a non-collocated piezoelectric cantilever beam excited by an external position-varying forcewhich is the disturbance to be rejected. This plant has typical positiondependent dynamics and is modeled as an LPV system whose time-varying parameter is the actual position of the disturbance. The numerical simulations demonstrate that, compared to the classical H ∞ control and the acceleration feedback control, the proposed control method allows to compute a quantitatively robust parameter (force position) dependent controller whose benefit is to require less control energy and smaller control input, while satisfying the same control objectives in the frequency domain. KeywordsLPV H ∞ control, phase and gain control policies, saving the control energy, parametric and dynamic uncertainties Problem statementSince lightweight components are widely used in practical structures for miniaturization and efficiency, these structures become more flexible and more susceptible to vibrations, which may cause significant noises, harmful

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“…In the literature on active vibration control, methods have first been developed to design SISO controllers to control one resonant mode with a collocated sensor-actuator pair [1,3,4,5,6]. To control more resonant modes, techniques have also been developed to combine these SISO controllers in parallel [1,7].…”

Section: Introductionmentioning

confidence: 99%

Active vibration control in specific zones of smart structures

Wang

Korniienko

Bombois

et al. 2019

Control Engineering Practice

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Smart structures are light structures with integrated sensing and actuating capabilities (smart materials). In this paper, the use of such smart materials for active vibration control is considered, in the case where the vibration covers a large frequency band and the vibration has to be reduced in a region where neither actuation nor sensing is possible. An accurate model combining physical and data-based modeling is developed. A multi-variable H ∞ controller achieving the desired control objective and taking into account the robustness issues is computed. The validity of the proposed approach is verified on an experimental setup.

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Active structural vibration control: Robust to temperature variations

Cited by 37 publications

References 39 publications

Temperature compensation in a smart structure by application of DC bias on piezoelectric patches

Temperature compensation in a smart structure by application of DC bias on piezoelectric patches

Quantitative robust linear parameter varying H_∞ vibration control of flexible structures for saving the control energy

Active vibration control in specific zones of smart structures

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