LQR Control of Thin Shell Dynamics: Formulation and Numerical Implementation

Rosario, Ricardo C.H. del; Smith, Ralph C.

doi:10.1177/1045389x9800900408

Cited by 9 publications

(5 citation statements)

References 18 publications

(25 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This approximation framework proved suitable for shells containing nonhomogeneities due to the smart material sensors and actuators and provided sufficient flexibility to encompass a variety of boundary conditions. Optimal feedback control methods employing these models and numerical techniques are reported in [13,14]. In these papers, it is illustrated that the computation of voltages to the piezoceramic through LQR theory provides strong attenuation in all three components of the shell displacement (longitudinal, circumferential and transverse).…”

Section: Structural Acoustic Systems and Smart Materials Actuatorsmentioning

confidence: 99%

Modeling and Control in Distributed Parameter Physical Systems.

Banks¹

1998

View full text Add to dashboard Cite

Public reporting burden for this collection of information is estimar.ec to average t hour per respons gathering and maintaining the data needed, and completing and reviewing the collection of mforma collection of information, including suggestions for reducing this burden, to Washington Headquarti Davis Highway. Suite 1201. Arlington, VA 22202-4302. and to the Office of Management and Budget. 38 3 3 data sources ' aspect of th.s' 1215 Jefferson 1. AGENCY USE ONLY (Leave blank) 2. REPORT DATE Approved for public release; distribution unlimited.

show abstract

Section: Structural Acoustic Systems and Smart Materials Actuatorsmentioning

confidence: 99%

Modeling and Control in Distributed Parameter Physical Systems.

Banks¹

1998

View full text Add to dashboard Cite

show abstract

“…While several researchers have studied the vibration control of shell-type structures without pressure, e.g. rings (Tzou et al, 1994;Tsai and Wang, 1996), cylindrical shells (Tzou, 1993;Qiu and Tani, 1996; del Rosario and Smith, 1998;Wang and \'aicaitis, 1998), spherical shells (Ghaedi and Misra, 1999;Zhou and Tzou, 2002), there has been perhaps no such study performed regarding a toroidal shell under internal pressure.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control of a Gossamer Structure Using Smart Materials

Jha

Inman

2004

Journal of Vibration and Control

View full text Add to dashboard Cite

Gossamer structures have been a subject of renewed interest for space applications because of their low weights, on-orbit deploying capabilities, and minimal stowage volumes. In this study, vibration suppression of an inflated structure using piezoelectric actuators and sensors has been attempted. These actuators and sensors can be suitably used for gossamer structures since they can conform to curved surfaces and provide distributed actuation and sensing capabilities. Using the natural frequencies and mode shapes of the system (structure, actuators, and sensors), a state-space model is derived. For designing a robust vibration controller, we used a sliding mode technique. The derivations of the sliding model controller and observer are presented in details. Finally, by means of numerical analysis, the method was demonstrated for an inflated torus considering Macro-Fiber Composite (MFC™) as actuators and Polyvinylidene Fluoride (PVDF) as sensors. The simulation studies show that the piezoelectric actuators and sensors are suitable for vibration suppression of an inflatable torus. The robustness properties of the controller and observer against the parameter uncertainty and disturbances are also studied.

show abstract

“…Defense Advanced Research Projects Agency,3701 North Fairfax Drive,Arlington,VA,22203-1714 8. PERFORMING ORGANIZATION REPORT NUMBER…”

Section: Performing Organization Name(s) and Address(es)mentioning

confidence: 99%

“…where the denominator results from the evaluation of C in (8). The likelihoods of switching from positive to negative, and conversely, are given by…”

Section: Polarization Kernel -Thermal Activationmentioning

confidence: 99%

“…We summarize here a spline-based Galerkin method developed in [7] for thin shells and direct the reader to that source for details regarding the construction of constituent matrices and convergence properties of the method. Details regarding the use of this approximation method for LQR control of shells utilizing PZT actuators can be found in [8].…”

Section: Cylindrical Actuator Modelmentioning

confidence: 99%

See 1 more Smart Citation

Model Development for Atomic Force Microscope Stage Mechanisms

Smith¹,

Hatch²,

De³

et al. 2005

View full text Add to dashboard Cite

In this paper, we develop nonlinear constitutive equations and resulting system models quantifying the nonlinear and hysteretic field-displacement relations inherent to lead zirconate titanate (PZT) devices employed in atomic force microscope stage mechanisms. We focus specifically on PZT rods utilizing d 33 motion and PZT shells driven in d 31 regimes, but the modeling framework is sufficiently general to accommodate a variety of drive geometries. In the first step of the model development, lattice-level energy relations are combined with stochastic homogenization techniques to construct nonlinear constitutive relations which accommodate the hysteresis inherent to ferroelectric compounds. Secondly, these constitutive relations are employed in classical rod and shell relations to construct system models appropriate for presently employed nanopositioner designs. The capability of the models to quantify the frequency-dependent hysteresis inherent to the PZT stages is illustrated through comparison with experimental data. i Report Documentation Page Form Approved OMB No. 0704-0188Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.

show abstract

LQR Control of Thin Shell Dynamics: Formulation and Numerical Implementation

Cited by 9 publications

References 18 publications

Modeling and Control in Distributed Parameter Physical Systems.

Modeling and Control in Distributed Parameter Physical Systems.

Sliding Mode Control of a Gossamer Structure Using Smart Materials

Model Development for Atomic Force Microscope Stage Mechanisms

Contact Info

Product

Resources

About