“Semi-decentralized Strategies in Structural Vibration Control”

Authors: Francisco Palacios-Quiñonero, Josep M. Rossell and Hamid Reza Karimi,
Affiliation: Universitat Politécnica de Catalunya and University of Agder
Reference: 2011, Vol 32, No 2, pp. 57-77.

Keywords: Decentralized control, Structural Vibration Control, Inclusion Principle

Abstract: In this work, the main ideas involved in the design of overlapping and multi-overlapping controllers via the Inclusion Principle are discussed and illustrated in the context of the Structural Vibration Control of tall buildings under seismic excitation. A detailed theoretical background on the Inclusion Principle and the design of overlapping controllers is provided. Overlapping and multi-overlapping LQR controllers are designed for a simplified five-story building model. Numerical simulations are conducted to asses the performance of the proposed semi-decentralized controllers with positive results.

PDF PDF (606 Kb)        DOI: 10.4173/mic.2011.2.2

DOI forward links to this article:
[1] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2012), doi:10.1016/j.jfranklin.2012.09.005
[2] F. Palacios-Quiñonero, J. Rubio-Massegu, J.M. Rossell and H.R. Karimi (2012), doi:10.4173/mic.2012.3.1
[3] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2014), doi:10.1016/j.jfranklin.2013.08.011
[4] Chen Ma and Xue-Bo Chen (2013), doi:10.1155/2013/190785
[5] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep M. Rossell and Hamid Reza Karimi (2014), doi:10.1155/2014/510236
[6] Francisco Palacios-Quiñonero, Josep M. Rossell, Josep Rubió-Massegú and Hamid R. Karimi (2012), doi:10.1155/2012/942910
[7] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep M. Rossell and Hamid Reza Karimi (2012), doi:10.1155/2012/636878
[8] Francisco Palacios-Quiñonero, Josep Rubio-Massegu, Josep M. Rossell and Hamid Reza Karimi (2014), doi:10.4173/mic.2014.3.4
[9] Xue-Bo Chen and Chen Ma (2013), doi:10.1109/ASCC.2013.6605992
[10] Benjamin D. Winter and R. Andrew Swartz (2016), doi:10.1109/ACC.2016.7526667
[11] Hamid R Karimi, Francisco Palacios-Quiñonero, Josep M Rossell and Josep Rubió-Massegú (2013), doi:10.1177/0959651812464026
[12] Benjamin D. Winter and R. Andrew Swartz (2017), doi:10.1002/stc.2025
[13] Saeid Aghajanian, Fereidoun Amini and Bijan Moaveni (2017), doi:10.1680/jstbu.16.00159
[14] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep Rossell and José Rodellar (2018), doi:10.3390/designs2010006
[15] Liang Cao, Simon Laflamme, Jonathan Hong and Jacob Dodson (2018), doi:10.1016/j.engstruct.2018.03.083
[16] A. H. Ghasemi, Jesse B. Hoagg and T. M. Seigler (2016), doi:10.1115/1.4032344
[17] Fereidoun Amini, Maryam Hassanali and Majd Javanbakht (2017), doi:10.1007/s13296-017-6020-x
[18] Dominik Pisarski, Robert Konowrocki and ukasz Jankowski (2020), doi:10.1002/stc.2502
[19] Dominik Pisarski, Tomasz Szmidt and Robert Konowrocki (2020), doi:10.1002/stc.2624
[20] Xiaofang Kang, Peipei Zhang, Yiwei Zhang, Dawei Man, Qinghu Xu, Xianzeng Shi, Yu Zhang, Guanghui Xia and M. Syed Ali (2021), doi:10.1155/2021/9964019
[21] Gang Liu, Wei Jiang, Qingshan Yang, Qi Wang and S.S. Law (2021), doi:10.1016/j.istruc.2021.10.079
[22] Xiaofang Kang, Jian Wu, Yewei Zhang, Guoliang Liu, Suhui Zhang, Xueting Tao, Guanghui Xia, Dawei Man, Qinghu Xu and Bing Zhang (2021), doi:10.1155/2021/9115938
[23] Xiaofang Kang, Shuai Li, Guanghui Xia, Qinghu Xu, Dawei Man, Xianzeng Shi, Houxu Huang, Ying Xu and Marco Filippo Ferrotto (2022), doi:10.1155/2022/5597410
[24] Qinghu Xu, Xuezhi Zhen, Xiang Ruan, Yutao Liu, Xianzeng Shi, Dawei Man, Xiaofang Kang, Guanghui Xia and Debiao Meng (2022), doi:10.1155/2022/1143374
[25] Zhao Li, Jianwei Tu and Jiarui Zhang (2022), doi:10.1177/10775463221074478
[26] Qinghu Xu, Yu Zhang, Xuezhi Zhen, Dawei Man, Xiaofang Kang, Guanghui Xia, Xianzeng Shi and Alfrendo Satyanaga (2022), doi:10.1155/2022/7218213
References:
[1] Åström, K., Albertos, P., Isidori, A., Shaufelberger, W., Sanz, R. (2011). Control of Complex Systems, Springer Verlag doi:10.1007/978-1-4471-0349-3
[2] Ataslar, B. Iftar, A. (1999). Decentralized routing controller design using overlapping decompositions, International Journal of Control, 7.13:1175--1192.
[3] Aybar, A., Iftar, A., Uzman, M. (1994). Decentralized routing control using overlapping decompositions, In Proceedings of the 7th Mediterranean Electrotechnical Conference, volume2. pp. 671--674.
[4] Bakule, L., Paulet-Crainiceanu, F., Rodellar, J., Rossell, J.M. (2005). Overlapping reliable control for a cable-stayed bridge benchmark, IEEE Transactions on Control Systems Technology, 1.4:663--669 doi:10.1109/TCST.2004.841678
[5] Bakule, L. Rodellar, J. (1995). Decentralized control and overlapping decomposition of mechanical systems, Part 1: System decomposition. Part 2: Decentralized stabilization. International Journal of Control, 6.3:559--587 doi:10.1080/00207179508921918
[6] Bakule, L., Rodellar, J., Rossell, J.M. (2000). Generalized selection of complementary matrices in the inclusion principle, IEEE Transactions on Automatic Control, 4.6:1237--1243 doi:10.1109/9.863615
[7] Bakule, L., Rodellar, J., Rossell, J.M. (2000). Structure of expansion-contraction matrices in the inclusion principle for dynamic systems, SIAM Journal on Matrix Analysis and Applications, 2.4:1136--1155 doi:10.1137/S0895479898340548
[8] Chen, X.-B. Stankovic, S. (2005). Decomposition and decentralized control of systems with multi-overlapping structure, Automatica, 4.10:1765--1772 doi:10.1016/j.automatica.2005.01.020
[9] Chen, X.-B. Stankovic, S. (2005). Structural control for overlapping interconnected power systems, In Preprints of the International Conference on Control and Automation.ICCA2005, volume2. Budapest, Hungary, pp. 391--396.
[10] Chopra, A.K. (2007). Dynamics of Structures, Theory and Applications to Earthquake Engineering. 3rd Edition. Prentice Hall.
[11] Chu, S., Soong, T., Reinhorn, A. (2005). Active, Hybrid and Semi-Active Structural Control, Wiley.
[12] Housner, G., Bergman, L., Caughey, T., Chassiakos, A. (1997). Structural control: Past, present, and future, Journal of Engineering Mechanics, 123(9):897--971 doi:10.1061/(ASCE)0733-9399(1997)123:9(897)
[13] Huang, C.-T. Chen, S.-S. (2000). Near-field characteristics and engineering implications of the 1999 Chi-Chi earthquake, Earthquake Engineering and Engineering Sysmology, .1:23--41.
[14] Iftar, A. Özgüner, U. (1990). Contractible controller design and optimal control with state and input inclusion, Automatica, 26(3):593--597 doi:10.1016/0005-1098(90)90031-C
[15] Ikeda, M. Siljak, D. (1986). Overlapping decentralized control with input, state, and output inclusion, Control-Theory and Advanced Technology, .2:155--172.
[16] Kurata, N., Kobobi, T., Takahashi, M., Niwa, N., Midorikawa, H. (1999). Actual seismic response controlled building with semi-active damper system, Earthquake Engineering and Estructural Dynamics, 2.11:1427--1447.
[17] Kurino, H., Matsunaga, Y., Yamada, T., Tagami, J. (2004). High performance passive hydraulic damper with semi-active characteristics, Paper No. 33. In 13th World Conference on Earthquake Engineering, Vancouver, B. C., Canada.
[18] Law, K., Lynch, J., Wang, Y. (2009). Decentralized control strategies with wireless sensing and actuation, In Proceedings of 2009 NFS CMMI Engineering Research and Innovation Conference, Honolulu, Hawaii.
[19] Li, K., Kosmatopoulos, E., Ioannou, E., Boussalis, H. (1999). Centralized, decentralized, and overlapping control design for a segment telescope, In Proceedings of the 1999 IEEE International Symposium on Intelligent Control/Intelligent Systems and Semiotics. Cambridge, MA, pages 173--178 doi:10.1109/ISIC.1999.796650
[20] Lynch, J., Wang, Y., Swartz, R., Lu, K., Loh, C. (2008). Implementation of a closed-loop structural control system using wireless sensor networks, Structural Control and Health Monitoring, 1.4:518--539 doi:10.1002/stc.214
[21] Ohtori, Y., Christenson, R., Spencer, B., Dyke, S. (2004). Benchmark control problems for seismically excited nonlinear buildings, Journal of Engineering Mechanics, 130(4):366--385 doi:10.1061/(ASCE)0733-9399(2004)130:4(366)
[22] Ou, J. Li, H. (2010). Analysis of capability for semi-active or passive damping systems to achieve the performance of active control systems, Structural Control and Health Monitoring, 1.7:778--794 doi:10.1002/stc.408
[23] Palacios-Quiñonero, F., Rodellar, J., Rossell, J.M. (2010). Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems, Journal of Applied Mathematics and Computation, 21.3:1170--1183 doi:10.1016/j.amc.2010.01.130
[24] Preumont, A. Seto, K. (2008). Active Control of Structures, Wiley, UK doi:10.1002/9780470715703
[25] Rossell, J.M., Palacios-Quiñonero, F., Rodellar, J. (2008). Semi-decentralized output feedback H-infinity control strategy for large building structures, In Proceedings of the 5th. World Conference on Structural Control and Monitoring. Shinjuku, Tokio.
[26] Siljak, D. (1991). Decentralized Control of Complex Systems, Academic Press, New York, USA.
[27] Siljak, D., Mladenovic, S., Stankovic, S. (1999). Overlapping decentralized observation and control of a platoon of vehicles, In Proceedings of the American Control Conference. San Diego, California, USA, pp. 4522--4526.
[28] Spencer, B. Nagarajaiah, S. (2003). State of the art of structural control, Journal of Structural Engineering, 129(7):845--856 doi:10.1061/(ASCE)0733-9445(2003)129:7(845)
[29] Stankovic, S., Stanojevic, M., Siljak, D. (2000). Decentralized overlapping control of a platoon of vehicles, IEEE Transactions on Control Systems Technology, .5:816--832.
[30] Stankovic, S. Siljak, D. (2001). Contractibility of overlapping decentralized control, Systems and& Control Letters, 4.3:189--199.
[31] Stipanovic, D., Inalhan,G., Teo, R. Tomlin, C. (2004). De-centralized overlapping control of a formation of unmanned aerial vehicles, Automatica, 4.8: 1285--1296 doi:10.1016/j.automatica.2004.02.017
[32] Swartz, R. Lynch, J. (2009). Strategic network utilization in a wireless structural control system for seismically excited structures, Journal of Structural Engineering, 135(5):597--608 doi:10.1061/(ASCE)ST.1943-541X.0000002
[33] USGS. (2011). Historic world earthquakes, http://earthquake.usgs.gov/earthquakes/world/.
[34] Wang, Y. (2011). Time-delayed dynamic output feedback H-infinity controller design for civil structures: A decentralized approach through homotopic transformation, Structural Control and Health Monitoring, 1.2: 121--139 doi:10.1002/stc.344
[35] Wang, Y., Lynch, J., Law, K. (2009). Decentralized H-infinity controller design for large-scale civil structures, Earthquake Engineering and Structural Dynamics, 3.3:377--401 doi:10.1002/eqe.862
[36] Wang, Y., Swartz, A., Lynch, J., Law, K., Lu, K.-C., Loh, C.-H. (2006). Wireless feedback structural control with embedded computing, In SPIE 13th Annual International Symposium on Smart Structures and Materials, San Diego, CA.
[37] Zecevic, A. Siljak, D. (2010). Control of Complex Systems, Structural Constraints and Uncertainty. Springer.


BibTeX:
@article{MIC-2011-2-2,
  title={{Semi-decentralized Strategies in Structural Vibration Control}},
  author={Palacios-Quiñonero, Francisco and Rossell, Josep M. and Karimi, Hamid Reza},
  journal={Modeling, Identification and Control},
  volume={32},
  number={2},
  pages={57--77},
  year={2011},
  doi={10.4173/mic.2011.2.2},
  publisher={Norwegian Society of Automatic Control}
};