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H∞-control of random structural vibrations with piezoelectric actuators

✍ Scribed by Kurt Schlacher; Andreas Kugi; Hans Irschik

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
295 KB
Volume
67
Category
Article
ISSN
0045-7949

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✦ Synopsis

A straight composite beam under the action of lateral forces is considered. A piezoelectric layer is used to control the excited motion of the beam. A nonlinear initial-boundary-value problem for the de¯ection is derived, which is approximated by a set of nonlinear ordinary dierential equations. The controller design is based on the H I -design for AI-systems by extending this method to the case of Hamiltonian AI-systems. A special solution of the Hamilton Jacobi Isaacs inequality is presented for the case of a single input single output system. Finally numerical simulations show the good behavior of the proposed control system.

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