6 April 2009 Low energy multimodal semi-active control minimizing the number of transducers
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The new proposed method is the hybridization between SSDI techniques and active methods developed for modal active control such as time sharing control and modal observer in order to control several modes of a structure with a good performance but without operative energy. It is designed in order to minimize the number of control components. The principal application field is the transportation. It is based on several modal SSDI controllers which act on the same actuator voltage. They are synchronized on each extremum of the corresponding modal displacement. Modal displacements are reconstructed thanks to a modal model of the smart structure from a modal observer. In order to reduce the number of actuators, the time sharing method is adapted to SSDI techniques: all the modal SSDI are connected to the same piezoelectric actuator, but only one controller is selected to control the voltage inversion for each step time. In order to select modal SSDI controller having the most effective action for damping, a computation of modal energies is realized from the estimated modal state. A controller selector is used to connect the modal SSDI command, whose corresponding mode has the highest modal energy [6], to the switch trigger. An application on a smart clamped free beam including one actuator and two sensors is presented. Three modes are controlled and the modal responses are observed on five modes. The results show that the control reduces significantly the vibration of targeted modes. Moreover, the method is not subject to stability problems.
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L. Gaudiller, L. Gaudiller, S. Harari, S. Harari, C. Richard, C. Richard, "Low energy multimodal semi-active control minimizing the number of transducers", Proc. SPIE 7288, Active and Passive Smart Structures and Integrated Systems 2009, 72881X (6 April 2009); doi: 10.1117/12.812249; https://doi.org/10.1117/12.812249

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