Modeling and adaptive vibration control for variable-length strip rolling systems with actuator faults and output constraints

Cheng Qian, Changchun Hua, Liuliu Zhang, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review


In this study, a vibration suppression control strategy for flexible variable-length strip rolling systems is explored under time-varying actuator failures and output constraints. First, a new partial differential equation and ordinary differential equations of variable-length strip rolling systems are established by considering the variable tension difference, variable speed, and unknown nonlinear rolling force in the rolling process. Then, in order to achieve the displacement constraints of the strip and avoid the initial value requirement of the system, an adaptive barrier Lyapunov function is put forward by introducing a shifting function. Additionally, the effect of the nonlinear rolling force of the system is eliminated by adopting the radial basis function neural network, and the adaptive technique is employed to approximate the unknown parameters. Next, a boundary vibration control law for the variable-length strip rolling system is proposed based on the backstepping approach to maintain the strip vibration displacement in a small neighborhood around zero. Finally, the applicability of the control algorithm is verified using numerical simulations, and the influence rule for the tension difference change in vibration displacement is implemented to confirm the correctness of the theoretical analysis.

Original languageEnglish
Pages (from-to)995-1009
Number of pages15
JournalNonlinear Dynamics
Issue number2
Publication statusPublished - 2024 Jan

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature B.V.


  • Actuator fault
  • Adaptive control
  • Radial basis function neural network (RBF NN)
  • Time-varying output constraints
  • Variable-length strip rolling system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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