Structural Engineering and Mechanics

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Stochastic intelligent GA controller design for active TMD shear building

  • Chen, Z.Y. (School of Science, Guangdong University of Petrochem Technology) ;
  • Peng, Sheng-Hsiang (Department of Civil and Environmental Engineering, University of California) ;
  • Wang, Ruei-Yuan (School of Science, Guangdong University of Petrochem Technology) ;
  • Meng, Yahui (School of Science, Guangdong University of Petrochem Technology) ;
  • Fu, Qiuli (School of Computer Science, Guangdong University of Petrochem Technology) ;
  • Chen, Timothy (Division of Engineering and Applied Science, California Institute of Technology)
  • Received : 2020.08.31
  • Accepted : 2021.10.27
  • Published : 2022.01.10
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Abstract

The problem of optimal stochastic GA control of the system with uncertain parameters and unsure noise covariates is studied. First, without knowing the explicit form of the dynamic system, the open-loop determinism problem with path optimization is solved. Next, Gaussian linear quadratic controllers (LQG) are designed for linear systems that depend on the nominal path. A robust genetic neural network (NN) fuzzy controller is synthesized, which consists of a Kalman filter and an optimal controller to assure the asymptotic stability of the discrete control system. A simulation is performed to prove the suitability and performance of the recommended algorithm. The results indicated that the recommended method is a feasible method to improve the performance of active tuned mass damper (ATMD) shear buildings under random earthquake disturbances.

Keywords

Acknowledgement

The authors are grateful for the research grants given to Yahui Meng from the Provincial key platforms and major scientific research projects of universities in Guangdong Province, Peoples R China under Grant No. 2017GXJK116, and the research grants given to ZY Chen from the Projects of Talents Recruitment of GDUPT (NO. 2021rc002) in Guangdong Province, Peoples R China No. 2021rc002 as well as to the anonymous reviewers for constructive suggestions.

References

  1. Bedirhanoglu, I. (2014), "A practical neuro-fuzzy model for estimating modulus of elasticity of concrete", Struct. Eng. Mech., 51(2), 249-265. https://doi.org/10.12989/sem.2014.51.2.249.
  2. Cairns, D.S., Mandell, J.F., Scott, M.E. and Maccagnano, J.Z. (1999), "Design and manufacturing considerations for ply drops in composite structures", Compos. Part B, 30, 523-534. https://doi.org/10.1016/S1359-8368(98)00043-2.
  3. Carrella, A. and Ewins, D.J. (2011), "Identifying and quantifying structural nonlinearities in engineering applications from measured frequency response functions", Mech. Syst. Signal Pr., 25(3), 1011-1027. https://doi.org/10.1016/j.ymssp.2010.09.011.
  4. Chawla, K.K. (2012), Fatigue and Creep, 3rd Edition, Springer, New York.
  5. Chen, C.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.
  6. Chen, C.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.
  7. Chen, C.Y.J. (2020), "System simulation and synchronization for optimal evolutionary design of nonlinear controlled systems", Smart Struct. Syst., 26(6), 797-807. https://doi.org/10.12989/sss.2020.26.6.797.
  8. Chen, T. (2019), "Decentralized fuzzy C-Means robust algorithm for continuous systems", Aircraft Eng. Aerosp. Technol., 92(2), 222-228. https://doi.org/10.1108/AEAT-04-2019-0082.
  9. Chen, T. (2019), "Hazard data analysis for underwater vehicles by submarine casualties", Marine Technol. Soc. J., 53(6), 21-26. https://doi.org/10.4031/MTSJ.53.6.2.
  10. Chen, T. (2019), "Meteorological tidal predictions in the mekong estuary using an evolved ANN time series", Marine Technol. Soc. J., 53(6), 27-34. https://doi.org/10.4031/MTSJ.53.6.3.
  11. Chen, T. (2019), "Modelling and verification of an automatic controller for a water treatment mixing tank", Desalin. Water Treat., 159, 318-326. https://doi.org/10.5004/dwt.2019.24143.
  12. Chen, T. (2020), "A composite control for UAV systems with time delays", Aircraft Eng. Aerosp. Technol., 92(7), 949-954. https://doi.org/10.1108/AEAT-11-2019-0219.
  13. Chen, T. (2020), "Intelligent fuzzy algorithm for nonlinear discrete-time systems", Tran. Inst. Measure. Control, 42(7), 1358-1374. https://doi.org/10.1177/0142331219891383.
  14. Chen, T. (2020), "PDC Intelligent control-based theory for structure system dynamics", Smart Struct. Syst., 25(4), 401-408. https://doi.org/10.12989/sss.2020.25.4.401.
  15. Chen, T. (2020), "Using evolving ANN-based algorithm models for accurate meteorological forecasting applications in Vietnam", Math. Prob. Eng., 2020, Article ID 8179652. https://doi.org/10.1155/2020/8179652.
  16. Chen, Z. (2021), "Apply a robust fuzzy LMI control scheme with AI algorithm to civil frame building dynamic analysis", Comput. Concrete, 28(4), 433-440. https://doi.org/10.12989/cac.2021.28.4.433.
  17. Chen, Z. (2021), "Grey signal predictor and evolved control for practical nonlinear mechanical systems", J. Grey Syst., 33(1), 156-170.
  18. Chen, Z. (2021), "Smart structural control and analysis for earthquake", Struct. Eng. Mech., 79(2), 131-139. https://doi.org/10.12989/sem.2021.79.2.131.
  19. Chen, Z. (2021), "Active TMD systematic design of fuzzy control and the application in high-rise buildings", Earthq. Struct., 21(6), 577-585. https://doi.org/10.12989/eas.2021.21.6.577.
  20. Chen, Z.Y. (2022), "Composite components damage tracking and dynamic structural behaviour with AI algorithm", Steel Compos. Struct.. (in Press)
  21. Chen, Z.Y. (2022), "Grey FNN control and robustness design for practical nonlinear systems", J. Eng. Res., https://doi.org/10.36909/jer.11273.
  22. Chen, Z.Y. (2022), "Systematic fuzzy navier-stokes equations for aerospace vehicles", Aircraft Eng. Aerosp. Technol., https://doi.org/10.1108/AEAT-06-2020-0109.
  23. Chen, Z.Y. (2022), "NN model-based evolved control by DGM model for practical nonlinear systems", Exp. Syst. Appl., 115873. https://doi.org/10.1016/j.eswa.2021.115873.
  24. Claeys, J. and Van Wittenberghe, J. (2011), "Characterisation of a resonant bending fatigue test setup for pipes", Sustain. Constr. Des., 1, 424-431.
  25. Hsaio, H.F. (2006), "LQG optimal control of discrete stochastic systems under parametric and noise uncertainties", J. Franklin Inst., 343(3), 279-294. https://doi.org/10.1016/j.jfranklin.2006.02.038.
  26. Hung, C.C. (2019) "Optimal fuzzy design of Chua's circuit system", Int. J. Innov. Comput. Inform. Control, 15(6), 2355-2366.
  27. Hung, C.C. (2019), "Hazard data analysis for underwater vehicles by submarine casualties", Marine Technol. Soc. J., 53(6), 21-26. https://doi.org/10.4031/MTSJ.53.6.2.
  28. Hung, C.C. (2019), "Meteorological tidal predictions in the mekong estuary using an evolved ANN time series", Marine Technol. Soc. J., 53(6), 27-34. https://doi.org/10.4031/MTSJ.53.6.3.
  29. Kmet, S. (2004), "Non-linear rheology of tension structural element under single and variable loading history part I. Theoretical derivations", Struct. Eng. Mech., 18(5), 564-588. https://doi.org/10.12989/sem.2004.18.5.564.
  30. Shariat, M., Shariati, M., Madadi, A. and Wakil, K. (2018), "Computational Lagrangian Multiplier Method by using optimization and sensitivity analysis of rectangular reinforced concrete beams", Steel Compos. Struct., 29(2), 243-256. http://doi.org/10.12989/scs.2018.29.2.243.
  31. Shariatmadar, H. and Razavi, H.M. (2014), "Seismic control response of structures using an ATMD with fuzzy logic controller and PSO method", Struct. Eng. Mech., 51(4), 547-564. https://doi.org/10.12989/sem.2014.51.4.547.
  32. Son, L., Bur, M., Rusli, M. and Adriyan, A. (2016), "Design of double dynamic vibration absorbers for reduction of two DOF vibration system", Struct. Eng. Mech., 57(1), 161-178. https://doi.org/10.12989/sem.2016.57.1.161.
  33. 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.
  34. 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.
  35. Zames G., and Shneydor, N.A. (1977) "Structural stabilization on quenching by dither in nonlinear systems", IEEE Trans. Automat. Contr., 22, 353-361.
  36. 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://doi.org/10.12989/scs.2018.28.4.439.
  37. Zhang, Y. (2015), "A fuzzy residual strength based fatigue life prediction method", Struct. Eng. Mech., 56(2), 201-221. https://doi.org/10.12989/sem.2015.56.2.201.
  38. Zhou, X., Lin, Y. and Gu, M. (2015), "Optimization of multiple tuned mass dampers for large-span roof structures subjected to wind loads", Wind Struct., 20(3), 363-388. https://doi.org/10.12989/was.2015.20.3.363.