Identification and Control of Mechanical Systems

Juang, Jer‐Nan; Phan, Minh Q.; Dewell, Larry

doi:10.1115/1.1470673

Cited by 42 publications

(54 citation statements)

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“…Instead, only relative changes of characteristic features are necessary for structural damage assessment. For this purpose, we propose to use a method based on the null subspace concept of the Hankel matrices [17]. Performing the singular-value decomposition (SVD) on the weighted Hankel matrix (3), we obtain…”

Section: Covariance-driven Hankel Matrixmentioning

confidence: 99%

Null subspace-based damage detection of structures using vibration measurements

Yan

Golinval

2006

Mechanical Systems and Signal Processing

101

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A damage detection method of mechanical system based on subspace identification concepts and statistical process techniques is presented. The aim is to propose a method that is sensitive to small-sized structural damages and suitable for on-line monitoring. Measured time-responses of structures subjected to artificial or environmental vibrations are assembled to form the Hankel matrix, which is further factorised by performing singular-value decomposition to obtain characteristic subspaces. It may be demonstrated that the structural responses are mainly located in the active subspace defined by the first principal components, which is orthonormal to the null subspace defined by the remaining principal components. If no structural damage occurs, the orthonormality relation between the subspaces remains valid with small residues when consecutive data sets are compared, and these residues may be evaluated by the proposed damage indicators. The method is validated using an experimental mock-up of an airplane subjected to different levels of damages simulated. It is also applied in environmental vibration testing of a street lighting device to monitor structural fatigue evolution. r

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Section: Covariance-driven Hankel Matrixmentioning

confidence: 99%

Null subspace-based damage detection of structures using vibration measurements

Yan

Golinval

2006

Mechanical Systems and Signal Processing

101

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“…The proposed numerical procedure is based on the use of the Eigensystem Realization Algorithm (ERA) in conjunction with the Observer/Kalman Filter Identification (OKID) method [70]. The ERA/OKID procedure is a system identification method based on the time domain that is capable of computing the discrete-time set of the system and the observer gain matrices employing the identified set of Markov parameters included in the matrix Γ k .…”

Section: State-space System Identification Numerical Proceduresmentioning

confidence: 99%

System Identification Algorithm for Computing the Modal Parameters of Linear Mechanical Systems

Pappalardo

Guida

2018

Machines

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Abstract:The goal of this investigation is to construct a computational procedure for identifying the modal parameters of linear mechanical systems. The methodology employed in the paper is based on the Eigensystem Realization Algorithm implemented in conjunction with the Observer/Kalman Filter Identification method (ERA/OKID). This method represents an effective and efficient system identification numerical procedure based on the time domain. The algorithm developed in this work is tested by means of numerical experiments on a full-car vehicle model. To this end, the modal parameters necessary for the design of active and semi-active suspension systems are obtained for the vehicle system considered as an illustrative example. In order to analyze the performance of the methodology developed in this investigation, the system identification numerical procedure was tested considering two case studies, namely a full state measurement and an incomplete state measurement. As expected, the numerical results found for the identified dynamical model showed a good agreement with the modal parameters of the mechanical system model. Furthermore, numerical results demonstrated that the proposed method has good performance considering a scenario in which the signal-to-noise ratio of the input and output measurements is relatively high. The method developed in this paper can be effectively used for solving important engineering problems such as the design of control systems for road vehicles.

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“…It is well-known [14], [24]- [27] that the multivariable transfer function matrix of this system can be expressed as (1) where is an vector, and . In practice, however, the integer is finite, but possibly a very large number which represents the number of modes that sufficiently describe the elastic properties of the structure under excitation [28], [29].…”

Section: Voltage-driven Piezoelectric Actuatorsmentioning

confidence: 99%

“…The proof included here is for the sake of completeness. Combining (29) and (30), the closed-loop system dynamics can be obtained (33) Now, a Lyapunov function, can be defined as…”

Section: Appendixmentioning

confidence: 99%

Resonant control of structural vibration using charge-driven piezoelectric actuators

Moheimani

Vautier

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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Abstract-Driving piezoelectric actuators by charge, or current rather than voltage is known to significantly reduce the hysteretic nature of these actuators. Although this feature of piezoelectric transducers has been known to the researchers for some time, still voltage amplifiers are being used as the main driving mechanism for piezoelectric devices. This is due to the perceived difficulty in building charge/current amplifiers capable of driving highly capacitive loads such as piezoelectric actuators. Recently, a new charge amplifier has been proposed which is ideal for driving piezoelectric loads used in applications such as active damping of vibration. Consequently, it is now possible to effectively, and accurately control the charge deposited on the electrodes of a piezoelectric transducer, and thereby avoid hysteresis altogether. This paper further investigates properties of piezoelectric transducers driven by charge sources when used with resonant controllers for structural vibration control applications. The paper reports experimental results of a multivariable resonant controller implemented on a piezoelectric laminate cantilever beam.

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Identification and Control of Mechanical Systems

Cited by 42 publications

References 0 publications

Null subspace-based damage detection of structures using vibration measurements

Null subspace-based damage detection of structures using vibration measurements

System Identification Algorithm for Computing the Modal Parameters of Linear Mechanical Systems

Resonant control of structural vibration using charge-driven piezoelectric actuators

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