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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Bibliography

Peng, C., Zhou, X., Wei, T., Ren, Y., High precision synchronous vibration suppression for a msfw subject to phase lag influence. Mech. Syst. Signal Process. 120 (2019), 408–421, 10.1016/j.ymssp.2018.10.017.
Liua, C., Jing, X., Daley, S., Li, F., Recent advances in micro-vibration isolation. Mech. Syst. Signal Process. 56–57 (2015), 55–80, 10.1016/j.ymssp.2014.10.007.
Alencar, G., De Jesus, A., Santos da Silva, J.G., Calçada, R., Fatigue cracking of welded railway bridges: a review. Eng. Fail. Anal. 104 (2019), 154–176, 10.1016/j.engfailanal.2019.05.037.
Al-Bahkali, E.A., Elkenani, H., Souli, M., Failure and fatigue life estimate of a pre-stressed aircraft seat support tube. Eng. Fail. Anal. 54 (2015), 120–130, 10.1016/j.engfailanal.2015.04.001.
Panda, K.C., Dealing with noise and vibration in automotive industry. Procedia Eng. 144 (2016), 1167–1174, 10.1016/j.proeng.2016.05.092.
Daniel, J., Automotive wheel and tyre design for suppression of acoustic cavity noise through the incorporation of passive resonators. J. Sound Vib., 467, 2020, 15037, 10.1016/j.jsv.2019.115037.
Gupta, V., Sharma, M., Thakur, N., Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review. J. Intell. Mater. Syst. Struct. 21:12 (2010), 1147–1156, 10.1177/1045389X10381659.
Maghami, P., Joshi, S., Sensor/actuator placement for flexible space structures. American Control Conference, vol. 2, 1990, 1941–1948.
Williams, T., Transmission-zero bounds for large space structures, with applications. J. Guid. Control Dyn. 12:1 (1989), 33–38, 10.2514/3.20365.
Hac, A., Liu, L., Sensor and actuator location in motion control of flexible structures. J. Sound Vib. 167:2 (1992), 239–261, 10.1006/jsvi.1993.1333.
Bruant, I., Proslier, L., Optimal location of actuators and sensors in active vibration control. J. Intell. Mater. Syst. Struct. 16:3 (2005), 197–206, 10.1177/1045389X05047989.
Sadri, A., Wright, J., Wynne, R., Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithms. Smart Mater. Struct. 8 (1999), 490–498, 10.1088/0964-1726/8/4/306.
Peng, F., Ng, A., Hu, Y.-R., Actuator placement optimization and adaptive vibration control of plate smart structures. J. Intell. Mater. Syst. Struct. 16:3 (2005), 263–271, 10.1177/1045389X05050105.
Lim, K., Method for optimal actuator and sensor placement for large flexible structures. J. Guid. Control Dyn. 15:1 (1992), 49–57, 10.2514/3.20800.
W. Gawronski, Advanced Structural Dynamics and Active Control of Structures, Mechanical Engineering Series, Springer-Verlag New York, 2004. doi:10.1007/978-0-387-72133-0.
S. Moheimani, T. Ryall, Considerations on placement of piezoceramic actuators that are used in structural vibration control, in: 38th IEEE Conference on Decision and Control, vol. 2, 1999, pp. 1118–1123. doi:10.1109/CDC.1999.830077.
Halim, D., Moheimani, S., An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate. Mechatronics 13:1 (2003), 27–47, 10.1016/S0957-4158(01)00079-4.
Liu, W., Hou, Z., Demetriou, M., A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial h_2 measures. Mech. Syst. Signal Process. 20:4 (2006), 881–895, 10.1016/j.ymssp.2005.08.030.
Devasia, S., Meressi, T., Paden, B., Bayo, E., Piezoelectric actuator design for vibration suppression – placement and sizing. J. Guid. Control Dyn. 16:5 (1993), 859–864, 10.2514/3.21093.
Kang, Y., Park, H., Hwang, W., Han, K., Optimum placement of piezoelectric sensor/actuator for vibration control of laminated beams. AIAA J. 34:9 (1996), 1921–1926, 10.2514/3.13326.
Bendine, K., Boukhoulda, F., Haddag, M., Nouari, B., Active vibration control of composite plate with optimal placement of piezoelectric patches. Mech. Adv. Mater. Struct. 26:4 (2017), 341–349, 10.1080/15376494.2017.1387324.
Daraji, A., Hale, J., Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structures. Smart Mater. Struct., 23(9), 2014, 095013, 10.1088/0964-1726/23/9/095013.
Kumar, K.R., Narayanan, S., The optimal location of piezoelectric actuators and sensors for vibration control of plates. Smart Mater. Struct. 16:6 (2007), 2680–2691, 10.1088/0964-1726/16/6/073.
Martin, G.D., On the Control of Flexible Mechanical Systems. Ph.D. thesis, 1978, Stanford University.
A. Preumont, Vibration Control of Active Structure, An Introduction, thrid ed., Springer, 2011. doi:10.1007/978-94-007-2033-6.
Miu, D., Physical interpretation of transfer function zeros for simple control systems with mechanical flexibilities. J. Dyn. Syst. Meas. Contr. 113:3 (1991), 419–424, 10.1115/1.2896426.
Williams, T., Constrained modes in control theory: transmission zeros of uniform beams. J. Sound Vib. 156:1 (1992), 170–177, 10.1016/0022-460X(92)90819-J.
Wolovich, W., On determining the zeros of state-space systems. IEEE Trans. Autom. Control 18:5 (1973), 542–544, 10.1109/TAC.1973.1100379.
Davison, E., Wang, S., Properties and calculation of transmission zeros of linear multivariable systems. Automatica 10:6 (1974), 643–658, 10.1016/0005-1098(74)90085-5.
Emami-Naeini, A., Van Dooren, P., Computation of zeros of linear multivariable systems. Automatica 18:4 (1982), 415–430, 10.1016/0005-1098(82)90070-X.
Fleming, F.M., The effect of structure, actuator, and sensor on the zeroes of controlled structures. Ph.D. thesis, 1991, Massachusetts Institute of Technology.
E. Balmes, Structural dynamics toolbox 7.1 (for use with matlab), 1991.
Boashash, B., Time-Frequency Signal Analysis and Processing, A Comprehensive Reference. second ed., 2016, Academic Press.
Levine, W., The Control Handbook in Two Volumes. 1999, CRC Press.

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