Robust Optimal Control Applied to a Composite Laminated Beam

Authors

  • Edson Hideki Koroishi Department of Mechanical Engineering, Federal Technological University of Paraná
  • Fabian Andres Lara Molina Department of Mechanical Engineering, Federal Technological University of Paraná
  • Albert Willian Faria Department of Civil Engineering, Institute of Technology and Exact Sciences, Federal University of Triangulo Mineiro
  • Valder Steffen Jr School of Mechanical Engineering, Federal University of Uberlandia

Keywords:

Composite materials, PZT actuator, Robust control, Linear matrix inequalities.

Abstract

This paper proposes an active vibration control technique, which is based on linear matrix inequalities, that is applied to a piezoelectric actuator bonded to a composite structure, forming a so-called smart composite structure. Serendipity-type finite element based on first-order shear deformation theory with rectangular shape, eight nodes, five mechanical degrees of freedom (DOF) per node and eight electrical DOF per piezoelectric layer, is established for the composite structural model. Additionally, a mixed theory that uses a single equivalent layer for the discretization of the mechanical displacement field and a layerwise representation of the electrical field is adopted. Temperature effects are neglected. Simulation results illustrate the effectiveness of the proposed vibration control methodology for composite structures.

Author Biography

Edson Hideki Koroishi, Department of Mechanical Engineering, Federal Technological University of Paraná

Edson Hideki Koroishi is an Assistent Professor in the Department of Mechanical Engineering at the Federal Technological University of Paraná.

Edson completed his Ph.D. at Federal University of Uberlândia (2013). His research interests lie in the area of mechanical systems, with a focus on rotordynamics, identification, control and optimization.

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Published

2015-02-22

Issue

Vol. 7 No. 1 (2015): JAN/MAR

Section

Original Papers

License

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