NDLI: Lqr control of thin shell dynamics: formulation and numerical implementation

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Lqr control of thin shell dynamics: formulation and numerical implementation

Content Provider	NASA Technical Reports Server (NTRS)
Author	Smith, R. C. delRosario, R. C. H.
Copyright Year	1997
Description	A PDE-based feedback control method for thin cylindrical shells with surface-mounted piezoceramic actuators is presented. Donnell-Mushtari equations modified to incorporate both passive and active piezoceramic patch contributions are used to model the system dynamics. The well-posedness of this model and the associated LQR problem with an unbounded input operator are established through analytic semigroup theory. The model is discretized using a Galerkin expansion with basis functions constructed from Fourier polynomials tensored with cubic splines, and convergence criteria for the associated approximate LQR problem are established. The effectiveness of the method for attenuating the coupled longitudinal, circumferential and transverse shell displacements is illustrated through a set of numerical examples.
File Size	1654150
Page Count	34
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19980017840
Archival Resource Key	ark:/13960/t6xw9c00r
Language	English
Publisher Date	1997-11-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Actuators Partial Differential Equations Control Systems Design Feedback Control Piezoelectric Ceramics Convergence Cylindrical Shells Thin Walled Shells Donnell Equations Dynamic Models Galerkin Method Polynomials Linear Quadratic Regulator Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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