%0 Conference Paper %1 heidingsfeld_gramian-based_2017 %A Heidingsfeld, Michael %A Rapp, Philipp %A Böhm, Michael %A Sawodny, Oliver %B 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), July 3-7, 2017, Munich %D 2017 %K Actuators, Controllability, Damping, Eigenvalues Gramian, Gramian-based Mathematical Measurement, Optimization, active actuator actuators, adaptive algebra, and control control, controllability controllability, criterion, damping, eigenfunctions, engineering external externally high-rise induced loads, matrix model, models, modes modification, optimal optimisation, optimization order placement, reduced reduction, response spillover spillover, structure, structures, supports, systems, truss vibration vibrations, %P 904--909 %R 10.1109/AIM.2017.8014133 %T Gramian-based actuator placement with spillover reduction for active damping of adaptive structures %X Adaptive structures are engineering structures with the ability to modify their response to external loads. This includes active damping of externally induced vibrations. The controller design is usually based on reduced order models that comprise the most important vibration modes of the structure. This can lead to unwanted excitation of the neglected modes, known as control spillover. One means to cope with this problem is by proper placement of the actuators. In this contribution, we present a method for optimal actuator placement for active damping of adaptive structures that explicitly considers spillover effects by optimizing the trade-off between controllability of the considered and neglected modes. The optimization criterion is based on the controllability Gramian. Under certain conditions, the globally optimal solution can be found. The proposed method is applied to a numerical example of a high-rise truss structure.

@inproceedings{heidingsfeld_gramian-based_2017, abstract = {Adaptive structures are engineering structures with the ability to modify their response to external loads. This includes active damping of externally induced vibrations. The controller design is usually based on reduced order models that comprise the most important vibration modes of the structure. This can lead to unwanted excitation of the neglected modes, known as control spillover. One means to cope with this problem is by proper placement of the actuators. In this contribution, we present a method for optimal actuator placement for active damping of adaptive structures that explicitly considers spillover effects by optimizing the trade-off between controllability of the considered and neglected modes. The optimization criterion is based on the controllability Gramian. Under certain conditions, the globally optimal solution can be found. The proposed method is applied to a numerical example of a high-rise truss structure.}, added-at = {2019-11-08T16:11:00.000+0100}, author = {Heidingsfeld, Michael and Rapp, Philipp and Böhm, Michael and Sawodny, Oliver}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/270cd658f5aeddea66235eee1a073bec1/mgeiger}, booktitle = {2017 {IEEE} {International} {Conference} on {Advanced} {Intelligent} {Mechatronics} ({AIM}), {July} 3-7, 2017, {Munich}}, doi = {10.1109/AIM.2017.8014133}, interhash = {53ad49f8e25468c63611b703749d7cd3}, intrahash = {70cd658f5aeddea66235eee1a073bec1}, keywords = {Actuators, Controllability, Damping, Eigenvalues Gramian, Gramian-based Mathematical Measurement, Optimization, active actuator actuators, adaptive algebra, and control control, controllability controllability, criterion, damping, eigenfunctions, engineering external externally high-rise induced loads, matrix model, models, modes modification, optimal optimisation, optimization order placement, reduced reduction, response spillover spillover, structure, structures, supports, systems, truss vibration vibrations,}, month = jul, pages = {904--909}, timestamp = {2019-11-08T15:14:53.000+0100}, title = {Gramian-based actuator placement with spillover reduction for active damping of adaptive structures}, year = 2017 }