A pole-zero based criterion for optimal placement of collocated sensor-actuator pair

Optimal placement; Optimization criterion; Pole-zero distance; Sensors-actuators; Transmission zero; Vibration control; Actuators; Cantilever beams; Computational efficiency; Damping; Microstrip devices; Nanocantilevers; Plates (structural components); Structural dynamics; Transmissions; Active control; Computationally efficient; Optimal placements; Optimization criteria; Sensor-actuator pairs; Simply supported plates; Structural vibrations; Transmission zeros; Poles

Abstract :

[en] A new and computationally efficient criterion is developed concerning the optimal placement of a collocated sensor-actuator pair for active control of structural vibrations with a low authority controller. The basic idea behind the proposed criterion is based on the maximization of the pole-zero distance in open-loop which has a direct link with the maximum achievable damping ratio once in closed-loop. Unlike poles, the determination of transmission zeros is computationally tedious because it depends upon the placement of the sensor-actuator pair. Therefore, a new approximation to reliably estimate the transmission zeros is also introduced which remarkably enhances the computational efficiency of the proposed optimization criterion. The effectiveness of the proposed criterion is demonstrated on a cantilever beam and a simply supported plate and is also compared with two other widely used criteria: the Gramian controllability and the spatial H2 norm. It is shown that the proposed criterion is pertinent and ensures higher damping values for the cantilever beam compared to the other two criteria. Nonetheless, the criterion requires adaptations to improve its reliability for structure with large modal density such as a simply supported plate. © 2021 Elsevier Ltd

Disciplines :

Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Piron, Dimitri ; Université Libre de Bruxelles - ULB > Ecole Polytechnique de Bruxelles > BEAMS

Pathak, S.; BEAMS Department, Université Libre de Bruxelles, Brussels, Belgium

Deraemaeker, A.; BATir Department, Université Libre de Bruxelles, Brussels, Belgium

Collette, Christophe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Active aerospace struct. and adv. mecha. systems

Language :

English

Title :

A pole-zero based criterion for optimal placement of collocated sensor-actuator pair

Publication date :

2021

Journal title :

Mechanical Systems and Signal Processing

ISSN :

0888-3270

eISSN :

1096-1216

Publisher :

Academic Press

Volume :

155

Peer reviewed :

Peer Reviewed verified by ORBi

Name of the research project :

IMpaCT, Integrated Mechatronics for Active vibration ConTrol

Funding text :

This research has been funded by the ARC consolidator research program (project: IMpaCT, Integrated Mechatronics for Active vibration ConTrol), Université Libre de Bruxelles, Brussels, Belgium.

Available on ORBi :

since 26 June 2021

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