LQG Control of the Smart Truss with the Piezoelectric Active Members

Abstract:

A truss is one of the most important parts of different structures applied in several areas of the contemporary industry. One of the most often appeared problems is the undesirable truss vibration activated, for example by the wind. The limitation of the undesired vibration is possible by the increase of the truss dimensions, but it leads to the increasing of the truss mass. The other way of the vibration damping is possible by the introduction of active elements, which generate the control forces acting on selected nodes of the truss. The piezoelectric actuators can be applicable elements to generate such control forces. Special active members are designed in order to introduce the piezoelectric actuators in the truss structure. A project of the control algorithm steering such members is a difficult task, because the truss with active members is MIMO control object. This article presents the results of the simulation research of LQG control system installed in exemplary truss with one, two or three piezoelectric active members. On the basis of the conducted simulation research one can claim that LQG control system could influence the increase of the vibration damping of such piezoelectric smart truss structure, without the increase of the truss mass.

• Periodical: Solid State Phenomena (Volume 208)
• Pages: 125-133
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.208.125
• Online since: September 2013
• Authors: Dariusz Grzybek
• Keywords: Optimal Control, Piezoelectric Actuator, Smart Truss, Vibration

References

[1] R. Lewandowski: Wydawnictwo Politechniki Poznańskiej. Poznań (2006) (in Polish)

[2] J. Kowal: Gutenberg. Kraków (1996) (in Polish)

[3] D. Bueno, C. Marqui, R. Santos, C. Neto, V. Lopes: Experimental active vibration control in truss structures considering uncertainties in system parameters. Mathematical Problems in Engineering (2008)

DOI: 10.1155/2008/754951

[4] G. L. C. Abreu, V. Lopes: H2 Optimal control for smart truss structure. Procedings of the 9th Brazilian Conference on Dynamics Control and their Applications (2010), pp.961-966.

[5] G. Song, J. Vlattas, S. E. Johnson, B. N. Agraval: Active vibration control of a space truss using a lead zirconate stack actuator. Proceedings of the Institution of Mechanical Engineers Vol. 215 (2001), pp.355-361

DOI: 10.1243/0954410011533356

[6] E. H. Anderson, D. M. Moore, J. L. Fanson: Development of an active truss element for control of precision structures. Optical Engineering Vol. 29 (1990), pp.1333-1341

[7] K. Zheng, Y. Zhang, Y. Yang, S. Yan, L. Dou, J. Chen: Active vibration control of adaptive truss structure using fuzzy neutral network. Proceedings of Chinese Control and Decision Conference (2008)

DOI: 10.1109/ccdc.2008.4598254

[8] J.-B. Li, Sh.-B. Xiong: Experimental studies of vibration control of a space truss structure. Proceedings of the 16th International Modal Analysis Conference Vol. 3243 (1998)

[9] S.-B. Choi, Y.-M. Han: Piezoelectric Actuators. Control Applications of smart materials. CRC Press. New York (2010)

[10] http://www.innotics.com/products/piezomechanik/datasheet/bipolar_piezo_actuator.pdf

[11] D. Bryja: Prace Naukowe Instytutu Inżynierii Lądowej Politechniki Wrocławskiej (2005) (in Polish)

[12] D. Grzybek: Czasopismo Techniczne (2011), pp.51-59. (in Polish)

[13] E. Lefeuvre, G. Sebald, D. Guyomar, M. Lallart, C. Richard: Materials, structures and power interfaces for efficient piezoelectric energy harvesting. Journal of Electroceram (2009), pp.171-179.

DOI: 10.1007/s10832-007-9361-6

[14] J. Qiu, H. Jiang, H. Ji, K. Zhu: Comparison between four piezoelectric energy harvesting circuits. Front. Mech. Eng. China (2009), pp.153-159.

DOI: 10.1007/s11465-009-0031-z

[15] D. Xue, Y. Chen, D. Atherton: Linear Feedback Control. Analysis and Design with MATLAB. Society for Industrial and Applied Mathematics. Philadelphia (2007)

[16] M. Wysocki: Oficyna Wydawnicza Politechniki Rzeszowskiej (2004) (in Polish)