Open AccessAPPLICATION OF AUTO-TUNING ZIEGLER-NICHOLS PID CONTROL IN CHAOTIC VIBRATION SUPPRESSION OF A BEAM WITH NONLINEAR BOUNDARY CONDITIONS
Author(s) -
A. OVEISI,
M. GUDARZI
Publication year - 2015
Publication title -
latin american applied research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.123
H-Index - 23
eISSN - 1851-8796
pISSN - 0327-0793
DOI - 10.52292/j.laar.2015.394
Subject(s) - control theory (sociology) , vibration , nonlinear system , robustness (evolution) , pid controller , vibration control , actuator , chaotic , beam (structure) , boundary value problem , engineering , physics , computer science , mathematics , control engineering , acoustics , structural engineering , mathematical analysis , control (management) , temperature control , biochemistry , chemistry , electrical engineering , quantum mechanics , artificial intelligence , gene
This paper investigates the vibration control of an elastic beam with nonlinear boundary conditions using Macro Fiber Composite (MFC) actuators and an adaptive control strategy. This system is known as a chaotic system under external sinusoidal applied force. The beam is clamped at one end, and the other end is pinned for the tip displacements less than a fixed value and is free for displacements greater than this value. For certain values of forcing frequency and amplitude the periodic motion becomes unstable and non-periodic, bounded vibration results. Meanwhile, for control purposes an autotuning Ziegler-Nichols PID controller is implemented in order to investigate the robustness and vibration suppression performance of the closed-loop system. Finally, numerical simulations evaluate the effectiveness of this control strategy.