This paper is concerned with modeling and control of a multicomponent distributed-parameter structure. General results from the theory of infinitedimensional systems are used to pose an LQR-control problem for the structure. Different variations of the structure are considered and, in particular, approximation schemes for two forms of the structure are presented in detail. Responses of the system to an elastic initial condition are presented. It is shown that convergent state feedback control laws can be obtained which result in significant suppression of vibrations and unwanted displacements throughout the structure.
Applied Mathematics and Optimization – Springer Journals
Published: May 1, 1997
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