Open AccessVibration control of a Timoshenko beam system with input backlash
Author(s) -
He Wei,
Liu Chang
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0974
Subject(s) - backlash , control theory (sociology) , boundary (topology) , mathematics , disturbance (geology) , vibration , timoshenko beam theory , controller (irrigation) , observer (physics) , boundary value problem , beam (structure) , computer science , control (management) , engineering , mathematical analysis , physics , artificial intelligence , structural engineering , paleontology , agronomy , quantum mechanics , biology
In this study, a novel boundary control algorithm is designed for a class of Timoshenko beams with unknown external disturbance and uncertain input backlash non‐linearity. The Timoshenko beam is described by partial differential equations as governing equations and ordinary differential equations as boundary conditions. The representation of input backlash is modified as a desired control input associated with input non‐linear error, which will be transformed into the external disturbance. The unknown ‘disturbance‐like’ item is defined based on input error and disturbance, and the boundary of this unknown ‘disturbance‐like’ item will be estimated by a disturbance observer. The unknown backlash can be handled and the ultimately uniform stability of the closed‐loop system is ensured. Numerical simulations are provided to verify the performance of the author's proposed control.