Active Position Control of a Flexible Smart Beam Using Internal Model Control

Lee, Y.-S.; Elliott, Stephen J.

doi:10.1006/jsvi.2000.3379

Cited by 28 publications

(16 citation statements)

References 12 publications

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“…The desired poles are obtained using statespace equation of viscoelastic beam which is similar to Eq. (9). Here the main assumption is that all the state variables are measurable and available for feedback.…”

Section: Closed-loop Dynamic Stiffness Matrixmentioning

confidence: 99%

“…Earlier papers successfully adopted independent modal space control method in which negative feedback of the modal position and velocity were used [4,5,6] . In several studies, control algorithms to synthesize controllers with positive position feedback and strain rate feedback have been reported [7,8,9] . Adaptive and robust control methods have also been developed [10,11] .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Vadiraja

Mahapatra

2009

SPIE Proceedings

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In this paper we incorporate a novel approach to synthesize a class of closed-loop feedback control, based on the variational structure assignment. Properties of a viscoelastic system are used to design an active feedback controller for an undamped structural system with distributed sensor, actuator and controller. Wave dispersion properties of onedimensional beam system have been studied. Efficiency of the chosen viscoelastic model in enhancing damping and stability properties of one-dimensional viscoelastic bar have been analyzed. The variational structure is projected on a solution space of a closed-loop system involving a weakly damped structure with distributed sensor and actuator with controller. These assign the phenomenology based internal strain rate damping parameter of a viscoelastic system to the usual elastic structure but with active control. In the formulation a model of cantilever beam with non-collocated actuator and sensor has been considered. The formulation leads to the matrix identification problem of two dynamic stiffness matrices. The method has been simplified to obtain control system gains for the free vibration control of a cantilever beam system with collocated actuator-sensor, using quadratic optimal control and pole-placement methods.

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Section: Closed-loop Dynamic Stiffness Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators

Vadiraja

Mahapatra

2009

SPIE Proceedings

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“…Khulief [8] has proposed the control of a rotating beam mounted on a rigid hub using a linear quadratic regulator, which required the placement of the sensor and actuator on the rotating beam. Lee and Eillott [9], Yousefi-Koma and Vukovich [10], Zimmerman and Cudney [11], and Mallory and Miller [12] all have also suggested placing sensors at various locations along the span of the beam for monitoring and control purposes. However, their research has focused on either non-rotating beams or large space structures.…”

Section: Introductionmentioning

confidence: 97%

Optimal Vibration Estimation of a Non-Linear Flexible Beam Mounted on a Rotating Compliant Hub

El-Sinawi

Hamdan

2003

Journal of Sound and Vibration

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“…The flexibility of these structures often results in problems such as structural vibration and shape deformation [1][2][3][4][5][6][7]. Recently, a lot of active control methods have been developed to suppress the structural vibration to improve the structural performances, which show that it is a promising method to adopt smart materials to actively control the vibration.…”

Section: Introductionmentioning

confidence: 99%