Smart Structures and Systems

  • 제28권5호
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  • Pages.605-615
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  • 2021
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Controller and sensor placement for a 3D irregular building based on Hankel norm

  • Wang, Yumei (Earthquake Engineering Research and Test Center, Guangzhou University) ;
  • Dyke, Shirley J. (Department of Mechanical Engineering and Civil Engineering, Purdue University)
  • 투고 : 2021.01.09
  • 심사 : 2021.06.12
  • 발행 : 2021.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

Placing controllers and sensors properly is important in structural health monitoring and control. Many optimization methods require much computation efforts. This paper used Hankel norms to develop the placement rules, because they involve the input and output gains and thus could be shaped by the locations. In modal form, their computations are relatively simple. The location and mode influences on norms were arranged in rows and columns, respectively, to form a matrix, and was normalized by the column (mode) root mean square. The optimization goal is to choose locations with higher index values and lower correlations to ensure higher controllability and observability, and with less effort to be compensated for by gains. Hankel norm is compatible with the LQR control objectives in that they are both 2-norm, so the methodology is appropriate to be applied to the base isolation benchmark building for structural control, which is an eight-story irregular building with ninety-two candidate locations for controllers and thirty-six locations for sensors. Following the method, ten controller locations and eighteen sensor locations were determined. Earthquake time history analysis using LQG technique validated the effectiveness of thus determined subset of locations by comparing with other subset of locations.

키워드

과제정보

The research described in this paper was financially supported by the Mid-America Earthquake Center in part through NSF grant EEC-9701785, and its final completion and publication owed to the Natural Science Foundation of China #51578517.

참고문헌

  1. Bigoni, C., Zhang, Z-Y. and Hesthaven, J.S. (2020), "Systematic sensor placement for structural anomaly detection in the absence of damaged states", Comput. Methods Appl. Mech. Eng., 371, 113315. https://doi.org/10.1016/j.cma.2020.113315
  2. Bopardikar, S.D. (2021), "A randomized approach to sensor placement with observability assurance", Automatica, 123, 109340. https://doi.org/10.1016/j.automatica.2020.109340
  3. Boyd, S.P. and Barratt, C.H. (1991), Linear Control Design, Prentice Hall, Englewood Cliffs, NJ, USA.
  4. Casciati, F. and Faravelli, L. (2014), "Sensor placement driven by a model order reduction (MOR) reasoning", Smart Struct. Syst., Int. J., 13(3), 343-352. https://doi.org/10.12989/sss.2014.13.3.343
  5. Choi, J.W., Park, U.S. and Lee, S.B. (2000), "Measures of modal controllability and observability in balanced coordinates for optimal placement of sensors and actuators: a flexible structure application", Proceedings of SPIE's 7th Annual International Symposium on Smart Structures and Materials, Volume 3984, pp. 425-436, Newport Beach, CA, USA. https://doi.org/10.1117/12.388787
  6. Gawronski, W.K. (1998), Dynamics and Control of Structures: A Modal Approach, Springer-Verlag Inc., New York, USA.
  7. He, J., Xu, Y.L., Zhang, C.D. and Zhang, X.H. (2015), "Optimum control system for earthquake-excited building structures with minimal number of actuators and sensors", Smart Struct. Syst., Int. J., 16(6), 981-1002. https://doi.org/10.12989/sss.2015.16.6.981
  8. Kang, S. and Shin, S. (2016), "Determination of optimal accelerometer locations for bridges using frequency-domain Hankel matrix", J. Korea Inst. Struct. Maint. Inspection, 20(4), 27-34. https://doi.org/10.11112/jksmi.2016.20.4.027
  9. Kaur, A., Kumar, P. and Gupta, G.P. (2019), "A weighted centroid localization algorithm for randomly deployed wireless sensor networks", J. King Saud Univ. - Comput. Info. Sci., 31(1), 82-91. https://doi.org/10.1016/j.jksuci.2017.01.007
  10. Le, V., Li, X., Li, Y., Cao, Y. and Le, C. (2016), "Optimal placement of TCSC using controllability Gramian to damp power system oscillations", Int. Transact. Electr. Energy Syst., 26(7), 1493-1510. https://doi.org/10.1002/etep.2159
  11. Leyder, C., Dertimanis, V., Frangi, A. and Lombaert, G. (2018), "Optimal sensor placement methods and metrics - comparison and implementation on a timber frame structure", Struct. Infrastruct. Eng., 14(7), 997-1010. https://doi.org/10.1080/15732479.2018.1438483
  12. Lu, L., Wang, X., Liao, L., Wei, Y., Huang, C. and Liu, Y. (2015), "Application of model reduction technique and structural subsection technique on optimal sensor placement of truss structures", Smart Struct. Syst., Int. J., 15(2), 355-373. https://doi.org/10.12989/sss.2015.15.2.355
  13. Majumder, S. and Khaparde, S.A. (2016), "Revenue and ancillary benefit maximization of multiple non-collocated wind power producers considering uncertainties", IET Gener. Transm. Dis., 10(3), 789-797. https://doi.org/10.1049/iet-gtd.2015.0480
  14. Moore, B.C. (1981), "Principle component analysis in linear systems: controllability, observability, and model reduction", IEEE Transact. Automatic Control, 26(1), 17-32. https://doi.org/10.1109/TAC.1981.1102568
  15. Narasimhan, S., Nagarajaiah, S., Johnson, E.A. and Gavin, H.P. (2002), "Benchmark problem for control of base isolated buildings", Proceedings of the 3rd World Conference on Structural Control, Columbia University, New York, NY, USA, June.
  16. Reichert, I., Olney, P. and Lahmer, T. (2020), "Combined approach for optimal sensor placement and experimental verification in the context of tower-like structures", J. Civil Struct. Health Monitor., 11(1), 223-234. https://doi.org/10.1007/s13349-020-00448-7
  17. Silva, S.D., Lopes Jr., V. and Assuncao, E. (2004), "Robust control to parametric uncertainties in smart structures using linear matrix inequalities", J. Brazil Soc. Mech. Sci. Eng., 26(4), 430-437. https://doi.org/10.1590/S1678-58782004000400008
  18. Soman, R.N., Onoufrioua, T., Kyriakidesb, M.A., Votsisc, R.A. and Chrysostomou, C.Z. (2014), "Multi-type, multi-sensor placement optimization for structural health monitoring of long span bridges", Smart Struct. Syst., Int. J., 14(1), 55-70. https://doi.org/10.12989/sss.2014.14.1.055
  19. Tong, K.H., Bakhary, N., Kueh, A.B.H. and Yassin, A.Y. (2014), "Optimal sensor placement for mode shapes using improved simulated annealing", Smart Struct. Syst., Int. J., 13(3), 389-406. https://doi.org/10.12989/sss.2014.13.3.389
  20. Yang, S.M. (1997), "Stability analysis of linear structural control systems with noncolocated feedback", Comput. Struct., 62(4), 685-690. https://doi.org/10.1016/S0045-7949(96)00265-9