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Nonlinear Adaptive Vibration Absorber for Linear Uncertain Systems Experiencing Unknown Sinusoidal Disturbances

[+] Author Affiliations
R. Derkhorenian, N. Jalili, D. M. Dawson

Clemson University, Clemson, SC

Paper No. IMECE2002-33536, pp. 363-372; 10 pages
doi:10.1115/IMECE2002-33536
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-3629-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

This paper describes the design and implementation of a nonlinear adaptive disturbance rejection approach for single-input-single-output (SISO) linear-time-invariant (LTI) uncertain systems subject to sinusoidal disturbances with unknown amplitude and frequency. The technique requires the construction of a set of stabilizing tuning functions utilizing a state estimate observer in a backstepping fashion to achieve asymptotic disturbance rejection. Utilizing only the system output, a virtual control input is used in place of non-measurable and unknown signals. The performance of the adaptation algorithm is demonstrated through simulations on a two-degree-of-freedom (2DOF) system, representing a mass-spring-damper vibration absorber setting appended on a single DOF (SDOF) primary system with unknown parameter.

Copyright © 2002 by ASME

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