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Simultaneous Optimal Design of the Lyapunov-Based Semi-Active Control and the Semi-Active Vibration Control Device: Inverse Lyapunov Approach

[+] Author Affiliations
Kazuhiko Hiramoto

Niigata University, Niigata, Japan

Taichi Matsuoka

Meiji University, Kawasaki, Japan

Akira Fukukita

Shimizu Corporation, Tokyo, Japan

Katsuaki Sunakoda

Akita University, Akita, Japan

Paper No. PVP2010-25883, pp. 213-221; 9 pages
doi:10.1115/PVP2010-25883
From:
  • ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference
  • ASME 2010 Pressure Vessels and Piping Conference: Volume 8
  • Bellevue, Washington, USA, July 18–22, 2010
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 978-0-7918-4927-9 | eISBN: 978-0-7918-3878-5
  • Copyright © 2010 by ASME

abstract

We address a simultaneous optimal design problem of a semi-active control law and design parameters in a vibration control device for civil structures. The Vibration Control Device (VCD) that is being developed by authors is used as the semi-active control device in the present paper. The VCD is composed of a mechanism of a ball screw with a flywheel for the inertial resistance force and an electric motor with an electric circuit for the damping resistance force. A new bang-bang type semi-active control law referred to as Inverse Lyapunov Approach is proposed as the semi-active control law. In the Inverse Lyapunov Approach the Lyapunov function is searched so that performance measures in structural vibration control are optimized in the premise of the bang-bang type semi-active control based on the Lyapunov function. The design parameters to determine the Lyapunov function and the design parameters of the VCD are optimized for the good performance of the semi-active control system. The Genetic Algorithm is employed for the optimal design.

Copyright © 2010 by ASME

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