APPLICATION OF AUTO-TUNING ZIEGLER-NICHOLS PID CONTROL IN CHAOTIC VIBRATION SUPPRESSION OF A BEAM WITH NONLINEAR BOUNDARY CONDITIONS
DOI:
https://doi.org/10.52292/j.laar.2015.394Keywords:
actuator/sensor, smart structure, chaos, system identificationAbstract
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.
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