Abstract:The work was aimed to develop a robust virtual sensing design methodology for sensing and active control applications of vibro-acoustic systems. The proposed virtual sensor was designed to estimate a broadband acoustic interior sound pressure using structural sensors, with robustness against certain dynamic uncertainties occurring in an acoustic-structural coupled enclosure. A convex combination of Kalman sub-filters was used during the design, accommodating different sets of perturbed dynamic model of the vib… Show more
“…Radiation modal amplitudes are squared and multiplied to radiation efficiencies and added to obtain an estimate of the acoustic potential energy. Halim et al (2011a) proposed a strategy for virtual sensing of acoustic pressure by modelling the coupling between the structural and the acoustic domains directly through coupling of the structural and the acoustic modes. The strategy proposed in this work, as explained through Fig.…”
Section: Structural Sensing For Global Active Noise Controlmentioning
confidence: 99%
“…It is, however, seen that such a strategy may require a large number of sensors as cavities encountered in practice may have a large number of structural modes contributing to the noise that need to be sensed, making the system unduly complex and uneconomical. The literature also shows that a strategy for structural sensing utilizing Kalman filters has been recently developed for estimating acoustic pressure for local control (Halim et al, 2011a). The sensing strategy proposed by Petersen et al (2008) is based on Kalman filter and is for local control of purely acoustic systems.…”
Section: Introductionmentioning
confidence: 99%
“…The approach uses a model of the plant and helps to eliminate some of the assumptions like constancy of primary signal at the physical and virtual locations associated with some of the other virtual sensing methods. Halim et al (2011a) proposed an approach for structural sensing of acoustic pressure for local control in a two-way coupled vibro-acoustic system that is uncertain. A virtual sensor is constructed from a convex combination of Kalman sub-filters representing perturbed dynamic models of the system.…”
This paper proposes a method for structural sensing of acoustic potential energy for active control of noise in a structural-acoustic cavity. The sensing strategy aims at global control and works with a fewer number of sensors. It is based on the established concept of radiation modes and hence does not add too many states to the order of the system. Acoustic potential energy is sensed using a combination of a Kalman filter and a frequency weighting filter with the structural response measurements as the inputs. The use of Kalman filter also makes the system robust against measurement noise. The formulation of the strategy is presented using finite element models of the system including that of sensors and actuators so that it can be easily applied to practical systems. The sensing strategy is numerically evaluated in the framework of Linear Quadratic Gaussian based feedback control of interior noise in a rectangular box cavity with a flexible plate with single and multiple pairs of piezoelectric sensor-actuator patches when broadband disturbances act on the plate. The performance is compared with an "acoustic filter" that models the complete transfer function from the structure to the acoustic domain. The sensing performance is also compared with a direct estimation strategy.
“…Radiation modal amplitudes are squared and multiplied to radiation efficiencies and added to obtain an estimate of the acoustic potential energy. Halim et al (2011a) proposed a strategy for virtual sensing of acoustic pressure by modelling the coupling between the structural and the acoustic domains directly through coupling of the structural and the acoustic modes. The strategy proposed in this work, as explained through Fig.…”
Section: Structural Sensing For Global Active Noise Controlmentioning
confidence: 99%
“…It is, however, seen that such a strategy may require a large number of sensors as cavities encountered in practice may have a large number of structural modes contributing to the noise that need to be sensed, making the system unduly complex and uneconomical. The literature also shows that a strategy for structural sensing utilizing Kalman filters has been recently developed for estimating acoustic pressure for local control (Halim et al, 2011a). The sensing strategy proposed by Petersen et al (2008) is based on Kalman filter and is for local control of purely acoustic systems.…”
Section: Introductionmentioning
confidence: 99%
“…The approach uses a model of the plant and helps to eliminate some of the assumptions like constancy of primary signal at the physical and virtual locations associated with some of the other virtual sensing methods. Halim et al (2011a) proposed an approach for structural sensing of acoustic pressure for local control in a two-way coupled vibro-acoustic system that is uncertain. A virtual sensor is constructed from a convex combination of Kalman sub-filters representing perturbed dynamic models of the system.…”
This paper proposes a method for structural sensing of acoustic potential energy for active control of noise in a structural-acoustic cavity. The sensing strategy aims at global control and works with a fewer number of sensors. It is based on the established concept of radiation modes and hence does not add too many states to the order of the system. Acoustic potential energy is sensed using a combination of a Kalman filter and a frequency weighting filter with the structural response measurements as the inputs. The use of Kalman filter also makes the system robust against measurement noise. The formulation of the strategy is presented using finite element models of the system including that of sensors and actuators so that it can be easily applied to practical systems. The sensing strategy is numerically evaluated in the framework of Linear Quadratic Gaussian based feedback control of interior noise in a rectangular box cavity with a flexible plate with single and multiple pairs of piezoelectric sensor-actuator patches when broadband disturbances act on the plate. The performance is compared with an "acoustic filter" that models the complete transfer function from the structure to the acoustic domain. The sensing performance is also compared with a direct estimation strategy.
“…It is also of applied benefit for structural acoustics engineers interested in improvement of low-frequency sound radiation characteristics of thick piezo-composite smart circular plates in the face of uncertainties. 15,19,[41][42] These elements are of realistic concern in advancement of intelligent micro-electromechanical systems, 43,44 for which precise movement control is essential. It can readily be combined with the classical passive control methods 1,2,45,46 and/or expediently be augmented with multiple pairs of electroded piezoelectric actuator/sensor segments in a multi-input multi-output (MIMO) active control framework [47][48][49] to effectively deal with the medium-and high-frequency acoustic radiation problems.…”
A multi-objective mixed H 2 /H 1 robust output feedback control synthesis with regional pole placement constraints in a linear matrix inequalities framework is adopted for active low-frequency sound radiation control of an arbitrarily thick, rigidly baffled, simply supported, multi-layered piezo-composite circular panel. The adopted control system concurrently captures the benefits of both H 2 transient control performance and H 1 robust stability in the face of external disturbances and system uncertainties. Also, the implemented volumetric sensing/actuation configuration avoids the typical problems associated with conventional (spatially discrete) piezoelectric sensor/actuator patches, where the total volume velocity can be effectively cancelled with the main contribution being to the long wavelength acoustic power emission. The elasto-acoustic analysis is based on the spatial state-space method in the context of exact 3D elasticity theory along with the Rayleigh integral formula where Neumann's addition theorem is incorporated in the associated Hankel transform representation to arrive at a computationally efficient expression for the nonaxisymmetric pressure field within the acoustic half-space, valid in both near and far fields. Subspace system identification of the fully coupled structure-fluid interaction problem is performed, and the truncated modes are considered as multiplicative uncertainties in synthesis of the mixed-norm controller. Numerical simulations establish the ability of the implemented volumetric sensing/actuation methodology in cooperation with the multi-objective robust active control scheme for restraining low-frequency sound radiation from a Ba 2 NaNb 5 O 15 /steel/PZT4 circular piezo-laminated plate, without provoking instability of the closed-loop system. Also, superior bandwidth frequency and tracking performance in comparison to the H 2 and H 1 controllers are observed. This work is believed to be the first such attempt to exactly model (and actively control) the 3D nonaxisymmetric acousto-elastodynamic frequency response of an arbitrarily thick, smart piezo-laminated circular plate in heavy fluid loading condition (i.e. without using any kind of far-field, low-frequency, and/or light fluid coupling approximations), with straightforward extensibility for any arbitrary through-thickness variation of distributed material properties.
“…In the development of local active controllers there has also been considerable interest, for practical reasons, in monitoring the sound field within the region of control with sensors outside this region, as reviewed by Moreau et al 13 Originally a virtual microphone technique was proposed for the problem, [13][14][15][16][17] where the primary pressure was assumed to be the same at the sensor and in the control region. Later, systems were developed using the remote microphone technique, 13,18 which assumes a given transfer response between the sensor and control region.…”
A general formulation is presented for the optimum controller in an active system for local sound control in a spatially random primary field. The sound field in a control region is selectively attenuated using secondary sources, driven by reference sensors, all of which are potentially remote from this control region. It is shown that the optimal controller is formed of the combination of a leastsquares estimation of the primary source signals from the reference signals, and a least-squares controller driven by the primary source signals themselves. The optimum controller is also calculated using the remote microphone technique, in both the frequency and the time domains. The sound field under control is assumed to be stationary and generated by an array of primary sources, whose source strengths are specified using a spectral density matrix. This can easily be used to synthesize a diffuse primary field, if the primary sources are uncorrelated and far from the control region, but can also generate primary fields dominated by contributions from a particular direction, for example, which is shown to significantly affect the shape of the resulting zone of quiet.
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