Optimal passive-damping design using a decentralized velocity-feedback H-Infinity approach

“Optimal passive-damping design using a decentralized velocity-feedback H-Infinity approach”

Authors: Francisco Palacios-Quiñonero, Josep Rubio-Massegu, Josep M. Rossell and Hamid Reza Karimi,
Affiliation: Universitat Politécnica de Catalunya and University of Agder
Reference: 2012, Vol 33, No 3, pp. 87-97.

Keywords: Decentralized control, Structural Vibration Control, static output-feedback

Abstract: In this work, a new strategy to design passive energy dissipation systems for vibration control of large structures is presented. The method is based on the equivalence between passive damping systems and fully decentralized static velocity-feedback controllers. This equivalence allows to take advantage of recent developments in static output-feedback control design to formulate the passive-damping design as a single optimization problem with Linear Matrix Inequality constraints. To illustrate the application of the proposed methodology, a passive damping system is designed for the seismic protection of a five-story building with excellent results.

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PDF (438 Kb) DOI: 10.4173/mic.2012.3.1

DOI forward links to this article:

[1] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2014), doi:10.1016/j.jfranklin.2013.08.011

[2] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2013), doi:10.1016/j.mechatronics.2013.08.001

[3] Josep Rubió-Massegú, Francisco Palacios-Quiñonero, Josep M. Rossell and Hamid Reza Karimi (2013), doi:10.1155/2013/907056

[4] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep M. Rossell and Hamid Reza Karimi (2014), doi:10.1155/2014/510236

[5] Falu Weng, Yuanchun Ding, Ji Ge, Liming Liang and Guoliang Yang (2014), doi:10.1260/0263-0923.33.3.245

[6] Francisco Palacios-Quiñonero, Josep Rubio-Massegu, Josep M. Rossell and Hamid Reza Karimi (2014), doi:10.4173/mic.2014.3.4

[7] Nien-Tsu Hu, Ter-Feng Wu, Sendren Sheng-Dong Xu and Pu-Sheng Tsai (2015), doi:10.1155/2015/150921

[8] Xiuting Sun and Xingjian Jing (2015), doi:10.1016/j.ymssp.2015.05.026

[9] Josep Rubió-Massegú, Josep M. Rossell, Francisco Palacios-Quiñonero and Hamid Reza Karimi (2014), doi:10.1049/iet-cta.2013.1129

[10] Francisco Palacios-Quinonero, Josep Rubio-Massegu, Josep M. Rossell and Hamid Reza Karimi (2014), doi:10.1109/ICMC.2014.7231988

[11] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep M Rossell and Hamid Reza Karimi (2016), doi:10.1088/1742-6596/744/1/012163

[12] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep Rossell and Hamid Karimi (2017), doi:10.3390/app7040323

[13] William Humberto Cuellar Sanchez, Tássio Melo Linhares, André Benine Neto, Eugênio Libório Feitosa Fortaleza and Ming Dao (2017), doi:10.1371/journal.pone.0183140

[14] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2017), doi:10.1016/j.proeng.2017.09.433

[15] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep Rossell and José Rodellar (2018), doi:10.3390/designs2010006

[16] ByungJin Park, YongJae Lee, MinJae Park and Young K. Ju (2018), doi:10.1016/j.engstruct.2018.04.074

[17] F. Palacios-Quiñonero, J. Rubió-Massegú, J.M. Rossell and H.R. Karimi (2018), doi:10.1016/j.engstruct.2018.05.075

[18] Xuan Bao Nguyen, Toshihiko Komatsuzaki, Yoshio Iwata and Haruhiko Asanuma (2018), doi:10.1016/j.jsv.2018.07.047

[19] Francisco Palacios-Quiñonero, Josep Rubió-Massegú, Josep M. Rossell and Hamid Reza Karimi (2020), doi:10.3390/app10072383

[20] Josep Rubio-Massegu, Francisco Palacios-Quinonero, Josep M. Rossell and Hamid Reza Karimi (2020), doi:10.3390/app10175859

[21] Xi Wang, Li Zhu, Hongwei Wang, Tao Tang and Kaicheng Li (2019), doi:10.1109/TITS.2019.2956162

[22] Haiying Wan, Xiaoli Luan, Hamid Reza Karimi and Fei Liu (2021), doi:10.1109/TAC.2020.2992564

[23] Tao Sheng, Gan-bin Liu, Xue-cheng Bian, Wei-xing Shi and Yue Chen (2022), doi:10.1016/j.engstruct.2021.113576

[24] Kou Miyamoto, Satoshi Nakano, Jinhua She, Daiki Sato, Yinli Chen and Qing-Long Han (2022), doi:10.1115/1.4053544

References:
[1] Agrawal, A. Yang, J. (1999). Design of passive energy dissipation systems based on LQR control methods, Journal of Intelligent Material Systems and Structures, 1.12:933--944 doi:10.1106/FB58-N1DG-ECJT-B8H4
[2] Balas, G., Chiang, R., Packard, A., Safonov, M. (2011). MATLAB Robust Control Toolbox 3, User´s Guide. The MathsWorks, Inc., 3 Apple Hill Drive. Natick, MA 01760--20, USA.
[3] Bharti, S., Dumne, S., Shrimali, M. (2010). Seismic response analysis of adjacent buildings connected with MR dampers, Engineering Structures, 3.8:2122--2133 doi:10.1016/j.engstruct.2010.03.015
[4] Bhaskararao, A. Jangid, R. (2006). Seismic response of adjacent buildings connected with friction dampers, Bulletin of Earthquake Engineering, .1:43--64 doi:10.1007/s10518-005-5410-1
[5] Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, Philadelphia, USA.
[6] Chen, Y., Zhang, W., Gao, H. (2010). Finite frequency H-Infinity control for building under earthquake excitation, Mechatronics, 2.1:128--142 doi:10.1016/j.mechatronics.2009.11.001
[7] Chopra, A. (2007). Dynamics of Structures, Theory and Applications to Earthquake Engineering. Prentice Hall, Upper Saddle River, New Jersey, USA, 3rd edition.
[8] Colwell, S. Basu, B. (2009). Tuned liquid column dampers in offshore wind turbines for structural control, Engineering Structures, 3.2:358--368 doi:10.1016/j.engstruct.2008.09.001
[9] Du, H. Lam, J. (2006). Energy-to-peak performance controller design for building via static output feedback under consideration of actuator saturation, Computers and& Structures, 8.31--32:2277--2290 doi:10.1016/j.compstruc.2006.08.032
[10] Gluck, N., Reinhorn, A., Gluck, J., Levy, R. (1996). Design of supplemental dampers for control of structures, Journal of Structural Engineering, 122(12):1394--1399 doi:10.1061/(ASCE)0733-9445(1996)122:12(1394)
[11] Ikeda, Y. (2009). Active and semi-active vibration control of buildings in Japan -- Practical applications and verification, Structural Control and Health Monotoring, 1.8:703--723 doi:10.1002/stc.315
[12] Kim, J., Ryu, J., Chung, L. (2006). Seismic performance of structures connected by viscoelastic dampers, Engineering Structures, 2.2:183--195 doi:10.1016/j.engstruct.2005.05.014
[13] Kurata, N., Kobori, T., Takahashi, M., Niwa, N., Midorikawa, H. (1999). Actual seismic response controlled building with semi-active damper system, Earthquake Engineering and Structural Dynamics, 2.11:1427--1447.
[14] Li, H. Huo, L. (2010). Advances in structural control in civil engineering in China, Mathematical Problems in Engineering, 1--23 doi:10.1155/2010/936081
[15] Li, H., Liu, H., Gao, H., Shi, P. (2012). Reliable fuzzy control for active suspension systems with actuator delay and fault, IEEE Transactions on Fuzzy Systems, 2.2:342--357 doi:10.1109/TFUZZ.2011.2174244
[16] Li, J., Zhang, Z., Chen, J. (2012). Experimental study on vibration control of offshore wind turbines usign a ball vibration absorber, Energy and Power Engineering, 4:153--157 doi:10.4236/epe.2012.43021
[17] Matsagar, V. Jangid, R. (2005). Viscoelastic damper connected to adjacent structures involving seismic isolation, Journal of Civil Engineering and Management, 1.4:309--322 doi:10.1080/13923730.2005.9636362
[18] Palacios-Quiñonero, F., Rossell, J., Karimi, H. (2011). Semi-decentralized strategies in structural vibration control, Modeling, Identification and Control, 3.2:57--77 doi:10.4173/mic.2011.2.2
[19] Palacios-Quiñonero, F., Rossell, J., Rubió-Massegú, J., Karimi, H. (2012). Structural vibration control for a class of connected multistructure mechanical systems, Mathematical Problems in Engineering, 1--23 doi:10.1155/2012/942910
[20] Palacios-Quiñonero, F., Rubió-Massegú, J., Rossell, J., Karimi, H. (2012). Discrete-time multioverlapping controller design for structural vibration control of tall buildings under seismic excitation, Mathematical Problems in Engineering, 1--20 doi:10.1155/2012/636878
[21] Palacios-Quiñonero, F., Rubió-Massegú, J., Rossell, J., Karimi, H. (2012). Semiactive-passive structural vibration control strategy for adjacent structures under seismic excitation, Journal of the Franklin Institute, 349:3003--3026 doi:10.1016/j.jfranklin.2012.09.005
[22] Rubió-Massegú, J., Palacios-Quiñonero, F., Rossell, J. (2012). Decentralized static output-feedback H-Infinity controller design for buildings under seismic excitation, Earthquake Engineering and Structural Dynamics, 41:1199--1205 doi:10.1002/eqe.1167
[23] Rubió-Massegú, J., Rossell, J., Karimi, H., Palacios-Quiñonero, F. (2012). Static output-feedback control under information structure constraints, Automatica, In press:1--4 doi:10.1016/j.automatica.2012.10.012
[24] 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)
[25] 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
[26] Yang, J., Lin, S., Kim, J.-H., Agrawal, A. (2002). Optimal design of passive energy dissipation systems based on H-Infinity and H-2 performances, Earthquake Engineering and Structural Dynamics, 3.4:921--936 doi:10.1002/eqe.130
[27] Yang, Z., Xu, Y., Lu, X. (2003). Experimental seismic study of adjacent buildings with fluid dampers, Journal of Structural Engineering, 129(2):197--205 doi:10.1061/(ASCE)0733-9445(2003)129:2(197)
[28] Zapateiro, M., Pozo, F., Karimi, H., Luo, N. (2012). Semiactive control methodologies for suspension control with magnetorheological dampers, IEEE/ASME Transactions on Mechatronics, 1.2:370--380 doi:10.1109/TMECH.2011.2107331
[29] Zhang, H., Shi, Y., Mehr, A. (2011). Robust non-fragile dynamic vibration absorbers with uncertain factors, Journal of Sound and Vibration, 33.4:559--566 doi:10.1016/j.jsv.2010.10.012
[30] Zhang, W., Chen, Y., Gao, H. (2011). Energy-to-peak control for seismic-excited buildings with actuator faults and parameter uncertainties, Journal of Sound and Vibration, 33.4:581--602 doi:10.1016/j.jsv.2010.09.001
[31] Zhu, H., Ge, D., Huang, X. (2011). Optimum connecting dampers to reduce the seismic responses of parallel structures, Journal of Sound and Vibration, 33.9:1931--1949 doi:10.1016/j.jsv.2010.11.016

BibTeX:
@article{MIC-2012-3-1,
  title={{Optimal passive-damping design using a decentralized velocity-feedback H-Infinity approach}},
  author={Palacios-Quiñonero, Francisco and Rubio-Massegu, Josep and Rossell, Josep M. and Karimi, Hamid Reza},
  journal={Modeling, Identification and Control},
  volume={33},
  number={3},
  pages={87--97},
  year={2012},
  doi={10.4173/mic.2012.3.1},
  publisher={Norwegian Society of Automatic Control}
};

Article

“Optimal passive-damping design using a decentralized velocity-feedback H-Infinity approach”