Exact controllability and boundary stabilization of torsional vibrations of an internally damped flexible space structure

Gorain, G. C. ; Bose, S. K. (1998) Exact controllability and boundary stabilization of torsional vibrations of an internally damped flexible space structure Journal of Optimization Theory and Applications, 99 (2). pp. 423-442. ISSN 0022-3239

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Official URL: http://www.springerlink.com/content/npq00474800x66...

Related URL: http://dx.doi.org/10.1023/A:1021778428222

Abstract

In this paper, we study the exact controllability and boundary stabilization of the torsional vibrations of a flexible space structure (such as a solar cell array) modeled by a rectangular panel, incorporating the material damping of the structure. The panel is hoisted at one end by a rigid hub and the other end is totally free. For the attachment of this hub on one side of the panel, the hub dynamics leads to a nonstandard boundary condition. To incorporate internal damping of the material, we assume Voigt-type viscoelasticity of the structure. Exact controllability theory is established using the Hilbert uniqueness method by means of a control torque applied only on the rigid hub of the panel. At the same time, uniform exponential energy decay rate is obtained directly for the solution of this problem.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Exact Controllability; Hilbert Uniqueness Method; Boundary Stabilization; Internally Damped Wave Equation; Exponential Energy Decay; Torsional Vibrations; Boundary Control; Adjoint System
ID Code:64469
Deposited On:12 Oct 2011 13:06
Last Modified:12 Oct 2011 13:32

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