IHB method for response computation of a class of second-order hysteretic nonlinear control systems under a sinusoidal excitation

Rui Xiong*, Xiang Dong Liu, Jie Geng, Guo Hui Lu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Aiming at a class of hysteretic nonlinear control systems, their hysteresis characteristics and linear characteristics could be separated, a model based on backlash neutral network was adopted to approach the hysteresis nonlinear characteristics of the systems. After the dynamic model was established. The incremental harmonic balance (IHB) method was used to solve the forced vibration response of this hysteretic control system with a proportional controller. Floquet theory was applied to analyze the stability of the periodic solution of the systems. The proposed approach was verified with Runge-Kutta numerical integration. The effects of the parameters of the controller on the system performance were analyzed.

Original languageEnglish
Pages (from-to)99-105
Number of pages7
JournalZhendong yu Chongji/Journal of Vibration and Shock
Volume32
Issue number13
Publication statusPublished - 15 Jul 2013

Keywords

  • Backlash neutral network model
  • Floquet theory
  • Hysteresis
  • Incremental harmonic balance (IHB)
  • Nonlinear control system

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