Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

LQG modeling and GA control of structures subjected to earthquakes

  • Chen, ZY (Guangdong University of Petrochem Technol, Suh Sci) ;
  • Jiang, Rong (Guangdong University of Petrochem Technol, Suh Sci) ;
  • Wang, Ruei-Yuan (Guangdong University of Petrochem Technol, Suh Sci) ;
  • Chen, Timothy (Division of Engineering and Applied Science, California Institute of Technology)
  • Received : 2021.11.02
  • Accepted : 2022.03.07
  • Published : 2022.04.25
⟨ Previous Next ⟩

Abstract

This paper addresses the stochastic control problem of robots within the framework of parameter uncertainty and uncertain noise covariance. First of all, an open circle deterministic trajectory optimization issue is explained without knowing the unequivocal type of the dynamical framework. Then, a Linear Quadratic Gaussian (LQG) controller is intended for the ostensible trajectory-dependent linearized framework, to such an extent that robust hereditary NN robotic controller made out of the Kalman filter and the fuzzy controller is blended to ensure the asymptotic stability of the non-continuous controlled frameworks. Applicability and performance of the proposed algorithm shown through simulation results in the complex systems which are demonstrate the feasible to improve the performance by the proposed approach.

Keywords

Acknowledgement

The authors are grateful for the research grants given to Ruei-Yuan Wang from GDUPT talent introduction, Peoples R China under Grant No. 702-519208, the Projects of Talents Recruitment of GDUPT (NO. 2019rc098), and the research grants given to ZY Chen from the Projects of Talents Recruitment of GDUPT (NO. 2021rc002) in Guangdong Province, Peoples R China, RY Wang from the Projects of Talents Recruitment of GDUPT (NO. 2019rc098), and Guangdong Provincial Key Lab.of Petrochemical Equipment and Fault Diagnosis, School of Science, Guangdong University of Petrochemical Technology, Maoming, Guangdong 525000, China as well as to the anonymous reviewers for constructive suggestions.

References

  1. Adeli H. and Jiang XM. (2006), "Dynamic fuzzy wavelet neural network model for structural system identification", J. Struct. Eng. ASCE, 132(1), 102-111. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(102).
  2. Alam, Z., Sun, L., Zhang, C. and Samali, B. (2022), "Influence of seismic orientation on the statistical distribution of nonlinear seismic response of the stiffness-eccentric structure", Structures, 39, 387-404. http://dx.doi.org/10.1016/j.istruc.2022.03.042
  3. Battista, R.C. and Varela, W.D. (2019), "A system of multiple controllers for attenuating the dynamic response of multimode floor structures to human walking", Smart Struct. Syst., 23(5), 467-478. https://doi.org/10.12989/sss.2019.23.5.467.
  4. Che, H. and Wang, J. (2021), "A two-timescale duplex neurodynamic approach to mixed-integer optimization", IEEE Transact. Neural Networks Learning Syst., 32(1), 36-48. https://doi.org/10.1109/TNNLS.2020.2973760.
  5. Chen, C.W., Yeh, K. and Liu, K.F.R (2009), "Adaptive fuzzy sliding mode control for seismically excited bridges with lead rubber bearing isolation", Int. J. Uncertain. Fuzziness Knowl. Based Syst., 17(5), 705-727. https://doi.org/10.1142/S0218488509006224.
  6. Chen, Z., Liu, Z., Yin, L. and Zheng, W. (2022), "Statistical analysis of regional air temperature characteristics before and after dam construction", Urban Climate, 41. https://doi.org/10.1016/j.uclim.2022.101085.
  7. Chiang, W., Chen, C. and Hsiao, F. (2007), "Stability analysis of nonlinear interconnected systems via T-S fuzzy models", Int. J. Comput. Intell. Appl., 4(01), 41-55. https://doi.org/10.1142/S1469026804001033.
  8. Chiang, W., Chen, C., Lin, C., Tsai, C., Chen, C. and Yeh, K. (2007), "A novel delay-dependent criterion for time-delay T-S fuzzy systems using fuzzy Lyapunov Method", Int. J. Artif. Intell. Tools, 16, 545-552. https://doi.org/10.1142/S0218213007003400.
  9. Chiang, W., Tsai, C., Chen, C. and Wang, M. (2007), "Fuzzy Lyapunov Method for stability conditions of nonlinear systems", Int. J. Artif. Intell. Tools, 15, 163-172. https://doi.org/10.1142/S0218213006002618.
  10. Chiang, W., Yeh, K., Chen, C. and Chen, C. (2007), "Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method", Appl. Math. Comput., 205, 568-577. https://doi.org/10.1016/j.amc.2008.05.104.
  11. Chiang, W.L. (2007), "A new approach to stability analysis for nonlinear time-delay systems", Int. J. Fuzzy Syst., 4(2), 735-738.
  12. Dong, J., Deng, R., Quanying, Z., Cai, J., Ding, Y. and Li, M. (2021), "Research on recognition of gas saturation in sandstone reservoir based on capture mode", Appl. Radiat. Osotopes, 178, 109939. http://doi.org/10.1016/j.apradiso.2021.109939.
  13. Fan, C., Li, H., Qin, Q., He, S. and Zhong, C. (2020), "Geological conditions and exploration potential of shale gas reservoir in Wufeng and Longmaxi Formation of southeastern Sichuan Basin, China", J. Petroleum Sci. Eng., 191, 107138. http://doi.org/10.1016/j.petrol.2020.107138
  14. Hsaio, H.F. (2005), "Robust stabilization of nonlinear multiple time-delay large-scale systems via decentralized fuzzy control", IEEE Trans. Fuzzy Syst., 13(1), 152-163. https://doi.org/10.1109/TFUZZ.2004.836067.
  15. Hsaio, H.F. (2005), "Stability analysis of T-S fuzzy models for nonlinear multiple time-delay interconnected systems", Math. Comput. Simul., 66(6), 523-537. https://doi.org/10.1016/j.matcom.2004.04.001
  16. Hsaio, H.F. (2005), "Stability conditions of fuzzy systems and its application to structural and mechanical systems", Adv. Eng. Softw. 37(9), 624-629. https://doi.org/10.1016/j.advengsoft.2005.12.002.
  17. Hsaio, H.F. (2005), "T-S fuzzy controllers for nonlinear interconnected systems with multiple time delays", IEEE Transactions Circuits Syst. I: Regular Papers, 52(9), 1883-1893. https://doi.org/10.1109/TCSI.2005.852492.
  18. Hsaio, H.F. (2007), "A novel delay-dependent criterion for time-delay t-s fuzzy systems using fuzzy lyapunov method", Int. J. Artif. Intell. Tools, 16(3), 545-552. https://doi.org/10.1142/S0218213007003400.
  19. Hsaio, H.F. (2007), "Fuzzy lyapunov method for stability conditions of nonlinear systems", Int. J. Artif. Intell. Tools, 15(2), 163-172. https://doi.org/10.1142/S0218213006002618.
  20. Hsaio, H.F. (2007), "Modeling, H∞ control and stability analysis for structural systems using Takagi-Sugeno fuzzy model", J. Vib. Control, 13, 1519-1534. https://doi.org/10.1177/1077546307073690.
  21. Hsaio, H.F. (2007), "Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method", Appl. Math. Comput., 205(2), 568-577. https://doi.org/10.1016/j.amc.2008.05.104.
  22. Hsaio, H.F. (2009), "A stability criterion for time-delay tension leg platform systems subjected to external force", China Ocean Eng., 23(1), 49-57. https://doi.org/10.1142/S0218488505003461.
  23. Hsaio, H.F. (2009), "Modeling and control for nonlinear structural systems via a NN-based approach", Expert Syst. Appl., 36(3), 4765-4772. https://doi.org/10.1016/j.eswa.2008.06.062.
  24. Hsaio, H.F. (2009), "The stability of an oceanic structure with T-S fuzzy models", Math. Comput. Simul., 80, 402-426. https://doi.org/10.1016/j.matcom.2009.08.001.
  25. Huang, H., Xue, C., Zhang, W. and Guo, M. (2022), "Torsion design of CFRP-CFST columns using a data-driven optimization approach", Eng. Struct., 251. http://doi.org/10.1016/j.engstruct.2021.113479.
  26. Hung C.C. (2019) "Optimal fuzzy design of Chua's circuit system", J. Innovative Comput. Information Control, 15(6), 2355-2366. https://doi.org/10.24507/ijicic.15.06.2355.
  27. Hung C.C. (2019), "Modeling, control, and stability analysis for time-delay TLP systems using the fuzzy Lyapunov method", Neural Comput. Appl., 20(4), 527-534. https://doi.org/10.1007/s00521-011-0576-8.
  28. Hung C.C. (2019), "Stability analysis and robustness design of nonlinear systems: An NN-based approach", Appl. Soft Comput., 11(2), 2735-2742. https://doi.org/10.1016/j.asoc.2010.11.004.
  29. Hung C.C. (2019), "Stabilization of adaptive neural network controllers for nonlinear structural systems using a singular perturbation approach", J. Vib. Control, 17(8), 1241-1252. https://doi.org/10.1177/1077546309352827.
  30. Lan, M.Y., Zheng, M.B., Shi, T., Ma, C., Liu, Y. and Zhao, Z. (2022), "Crack resistance property of carbon nanotubes-modified concrete", Mag. Concrete Res., https://doi.org/10.1680/jmacr.21.00227.
  31. Li, A., Spano, D., Krivochiza, J., Domouchtsidis, S., Tsinos, C.G., Masouros, C. and Ottersten, B. (2020), "A tutorial on interference exploitation via symbol-level precoding: Overview, state-of-the-art and future directions", IEEE Commun. Surveys Tutorials, 22(2), 796-839. https://doi.org/10.1109/COMST.2020.2980570.
  32. Liu, H., Shi, Z., Li, J., Liu, C., Meng, X., Du, Y. and Chen, J. (2021), "Detection of road cavities in urban cities by 3D ground-penetrating radar", Geophysics, 86(3), A25-A33. https://doi.org/10.1190/geo2020-0384.1.
  33. Liu, Z., Fang, L., Jiang, D. and Qu, R. (2022), "A machine-learning based fault diagnosis method with adaptive secondary sampling for multiphase drive systems", IEEE Transact. Power Electron., 1. http://doi.org/10.1109/TPEL.2022.3153797.
  34. Liu, Z., Wu, S., Jin, S., Liu, Q., Ji, S., Lu, S. and Cheng, L. (2022), "Investigating pose representations and motion contexts modeling for 3D motion prediction", IEEE Transact. Pattern Anal. Machine Intell., http://doi.org/10.1109/TPAMI.2021.3139918.
  35. Lu, N., Wang, H., Wang, K. and Liu, Y. (2021), "Maximum probabilistic and dynamic traffic load effects on short-to-medium span bridges. Cmes-Comput. Modeling Eng. Sci., 127(1), 345-360. http://doi.org/10.32604/cmes.2021.013792.
  36. Luo, G., Yuan, Q., Zhou, H., Cheng, N., Liu, Z., Yang, F. and Shen, X.S. (2018), "Cooperative vehicular content distribution in edge computing assisted 5G-VANET", China Commun., 15(7), 1-17. https://doi.org/10.1109/CC.2018.8424578.
  37. Shen, W. (2014), "A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods", Nonlin. Dyn., 76(1), 23-31. https://doi.org/10.1007/s11071-013-0869-9.
  38. Shen, W. (2014), "Interconnected TS fuzzy technique for nonlinear time-delay structural systems", Nonlin. Dyn., 76(1), 13-22. https://doi.org/10.1007/s11071-013-0841-8.
  39. Shen, W., Zhu, S., Zhu, H. and Xu, Y.L. (2016), "Electromagnetic energy harvesting from structural vibrations during earthquakes", Smart Struct. Syst., 18(3), 449-470. https://doi.org/10.12989/sss.2016.18.3.449.
  40. Tsai, P.W., Hayat, T., Ahmad, B. and Chen, C.W. (2015), "Structural system simulation and control via NN based fuzzy model", Struct. Eng. Mech., 56(3), 385-407. https://doi.org/10.12989/sem.2015.56.3.385.
  41. Tsai, P.W., Pan, J.S., Liao, B.Y., Tsai, M.J. and Istanda, V. (2012), "Bat algorithm inspired algorithm for solving numerical optimization problems", Appl. Mech. Mater., 148, 134-137. https://doi.org/10.4028/www.scientific.net/AMM.148-149.134.
  42. Tsai, P.W., Pan, J.S., Liao, B.Y., Tsai, M.J. and Istanda, V. (2012), "A novel strategy to determine the insurance and risk control plan for natural disaster risk management", Natural Hazards, 64(2), 1391-1403. https://doi.org/10.1007/s11069-012-0305-3.
  43. Wei, J., Xie, Z., Zhang, W., Luo, X., Yang, Y. and Chen, B. (2021), "Experimental study on circular steel tube-confined reinforced UHPC columns under axial loading", Eng. Struct., 230, 111599. http://doi.org/10.1016/j.engstruct.2020.111599.
  44. Wu, C.C. (2010), "Application of Fuzzy-model-based control to nonlinear structural systems with time delay: An LMI method", J. Vib. Control, 16(11), 1651-1672. https://doi.org/10.1177/1077546309104185.
  45. Wu, C.C. (2010), "Fuzzy control for an oceanic structure: A case study in time-delay TLP system", J. Vib. Control, 16(1), 147-160. https://doi.org/10.1177/1077546309339424.
  46. Wu, C.C. (2010), "Modeling and fuzzy PDC control and its application to an oscillatory TLP structure", Math. Problems Eng., 2010, 1-13. https://doi.org/10.1155/2010/120403.
  47. Wu, C.C. (2010), "Stability analysis of an oceanic structure using the Lyapunov method", Eng. Comput., 27, 186-204. https://doi.org/10.1108/02644401011022364.
  48. Yin, L., Wang, L., Keim, B. D., Konsoer, K. and Zheng, W. (2022), "Wavelet analysis of dam injection and discharge in three gorges dam and reservoir with precipitation and river discharge", Water, 14(4), 567. https://doi.org/10.3390/w14040567.
  49. Ying, Z.G., Y.Q. Ni and Y.F. Duan (2019), "Stochastic stability control analysis of an inclined stay cable under random and periodic support motion excitations," Smart Struct. Syst., 23(6), 641-651. https://doi.org/10.12989/sss.2019.23.6.641.
  50. Zandi, Y., Shariati, M., Marto, A., Wei, X., Karaca, Z., Dao, D., Toghroli, A., Hashemi, M.H., Sedghi, Y., Wakil, K. and Khorami, M. (2018), "Computational investigation of the comparative analysis of cylindrical barns subjected to earthquake", Steel Compos. Struct., 28(4), 439-447. http://dx.doi.org/10.12989/scs.2018.28.4.439.
  51. Zhang, H., Liu, Y. and Deng, Y. (2021), "Temperature gradient modeling of a steel box-girder suspension bridge using Copulas probabilistic method and field monitoring", Adv. Struct. Eng., 24(5), 947-961. http://doi.org/10.1177/1369433220971779.
  52. Zhang, W. and Tang, Z. (2021), "Numerical modeling of response of CFRP-concrete interfaces subjected to fatigue loading", J. Compos. Construct., 25(5). http://doi.org/10.1061/(ASCE)CC.1943-5614.0001154.