Design of a hierarchical fuzzy vibration absorber for a continuum with a moving oscillator

The aim of this work is to design a multi-time scale fuzzy vibration controller by taking a singular perturbation approach that involves an elastic continuum, carries a moving mass-sprung-damper oscillator. The proposed design of the controller involves a composite control strategy elucidated by the singular perturbation approach. A fuzzy logic compensator (FLC) is applied to the controller to solve the problem of the lack of full-state availability. Using this compensator, the vibration amplitude of an elastically supported continuum can be reduced and the performance of the dynamic system improved. A hierarchical fuzzy logic structure of a multi-input FLC is derived, leading to the implementation of faster controllers with a reduced memory demand. The broad range of problems associated with oscillators with moving loads, considered herein, arise in civil, mechanical, transport, marine, offshore, aviation and astronautical engineering.