Open AccessAdaptive boundary control for a class of inhomogeneous Timoshenko beam equations with constraints
Author(s) -
He Wei,
Zhang Shuang,
Ge Shuzhi Sam,
Liu Chang
Publication year - 2014
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.2013.0601
Subject(s) - control theory (sociology) , class (philosophy) , timoshenko beam theory , boundary (topology) , beam (structure) , mathematics , adaptive control , control (management) , distributed parameter system , computer science , mathematical analysis , engineering , differential equation , artificial intelligence , structural engineering
In this study, integral‐Barrier Lyapunov function (IBLF)‐based boundary controls are proposed for a class of inhomogeneous Timoshenko beam equations with boundary output constraints. An IBLF which depends explicitly on time, is employed to prevent the constraint violation. The adaption laws are designed to compensate for the system uncertainties. By using the proposed adaptive IBLF‐based boundary control, the vibration of the Timoshenko beam system is suppressed greatly, without any discretisation or simplification of the dynamics in the time and space. The proposed adaptive IBLF‐based boundary controls also guarantee that boundary outputs always remain in the constrained space, subject to significantly relaxed feasibility conditions. In the end, numerical simulations are displayed to illustrate the performance of the proposed control.