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http://dx.doi.org/10.12989/sss.2020.26.6.797

System simulation and synchronization for optimal evolutionary design of nonlinear controlled systems  

Chen, C.Y.J. (Faculty of Information Technology, University of California)
Kuo, D. (Faculty of Engineering, University of Melbourne, Melbourne)
Hsieh, Chia-Yen (Scientific Education, National Kaohsiung Normal University)
Chen, Tim (Faculty of Information Technology, Ton Duc Thang University)
Publication Information
Smart Structures and Systems / v.26, no.6, 2020 , pp. 797-807 More about this Journal
Abstract
Due to the influence of nonlinearity and time-variation, it is difficult to establish an accurate model of concrete frame structures that adopt active controllers. Fuzzy theory is a relatively appropriate method but susceptible to human subjective experience to decrease the performance. This paper proposes a novel artificial intelligence based EBA (Evolved Bat Algorithm) controller with machine learning matched membership functions in the complex nonlinear system. The proposed affine transformed membership functions are adopted and stabilization and performance criterion of the closed-loop fuzzy systems are obtained through a new parametrized linear matrix inequality which is rearranged by machine learning affine matched membership functions. The trajectory of the closed-loop dithered system and that of the closed-loop fuzzy relaxed system can be made as close as desired. This enables us to get a rigorous prediction of stability of the closed-loop dithered system by establishing that of the closed-loop fuzzy relaxed system.
Keywords
system simulation and synchronization; fuzzy relaxed system; intelligent algorithm;
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Times Cited By KSCI : 14  (Citation Analysis)
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1 Adeli, H. and Jiang, X.M. (2006), "Dynamic fuzzy wavelet neural network model for structural system identification", J. Struct. Eng., 132(1), 102-111. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(102)   DOI
2 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., Int. J., 23(5), 467-478. https://doi.org/10.12989/sss.2019.23.5.467   DOI
3 Berg, Larry K., Liu, Ying, Yang, Ben, (2019), "Sensitivity of turbine-height wind speeds to parameters in the planetary boundary-layer parametrization used in the weather research and forecasting model: extension to wintertime conditions", Boundary-Layer Meteorol., 170, 507-518. https://doi.org/10.1007/s10546-018-0406-y   DOI
4 Chen, C.W. (2014a), "Interconnected TS fuzzy technique for nonlinear time-delay structural systems", Nonlinear Dyn., 76(1), 13-22. https://doi.org/10.1007/s11071-013-0841-8   DOI
5 Chen, C.W. (2014b), "A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods", Nonlinear Dyn., 76(1), 23-31. https://doi.org/10.1007/s11071-013-0869-9   DOI
6 Chen, T. (2020a), "LMI based criterion for reinforced concrete frame structures", Adv. Concr. Constr., Int. J., 9(4), 407-412. https://doi.org/10.12989/acc.2020.9.4.407   DOI
7 Chen, T. (2020b), "Evolved fuzzy NN control for discrete-time nonlinear systems", J. Circuits Syst. Comput., 29(1), 2050015. https://doi.org/10.1142/S0218126620500152   DOI
8 Chen, T. (2020c), "On the algorithmic stability of optimal control with derivative operators", Circuits Syst. Signal Process. https://doi.org/10.1007/s00034-020-01447-1.   DOI
9 Chen, T. (2020d), "An intelligent algorithm optimum for building design of fuzzy structures", Iran J. Sci. Technol, Trans Civ. Eng., 44, 523-531. https://doi.org/10.1007/s40996-019-00251-5   DOI
10 Chen, T. and Chen, C.Y.J. (2019), "Intelligent fuzzy algorithm for nonlinear discrete-time systems", Transact. Inst. Measure. Control. https://doi.org/10.1177/0142331219891383   DOI
11 Chen, T., Khurram, S. and Cheng, C. (2019a), "A relaxed structural mechanics and fuzzy control for fluid-structure dynamic analysis", Eng. Comput., 36(7), 2200-2219. https://doi.org/10.1108/EC-11-2018-0522   DOI
12 Chen, T., Khurram, S. and Cheng, C. (2019b), "Prediction and control of buildings with sensor actuators of fuzzy EB algorithm", Earthq. Struct., Int. J., 17(3), 307-315. https://doi.org/10.12989/eas.2019.17.3.307   DOI
13 Chu, S.-C. and Tsai, P.-W. (2007), "Computational Intelligence based on Behaviors of Cats", Int. J. Innov. Comput. Inform. Control, 3(1), 163-173.
14 Desoer, C.A. and Shahruz, S.M. (1985), "Stability of the dithered nonlinear system with backlash or hysteresis", Int. J. Control, 43, 1045-1060. https://doi.org/10.23919/ACC.1985.4788808   DOI
15 Eswaran, M. and Reddy, G.R. (2016), "Numerical simulation of tuned liquid tank-structure systems through sigma-transformation based fluid-structure coupled solver", Wind Struct., Int. J., 23(5), 421-447. https://doi.org/10.12989/was.2016.23.5.421   DOI
16 Hu, Y., Wang, J., Chen, M.Z.Q., Li, Z. and Sun, Y. (2018), "Load mitigation for a barge‐type floating offshore wind turbine via inerter‐based passive structural control", Eng. Struct., 177, 198‐209. https://doi.org/10.1016/j.engstruct.2018.09.063   DOI
17 Lee, H.H. and Juang, H.H. (2012), "Experimental study on the vibration mitigation of offshore tension leg platform system with UWTLCD", Smart Struct. Syst., Int. J., 9(1), 71-104. https://doi.org/10.12989/sss.2012.9.1.071   DOI
18 Panda, G., Pardhan, P.M. and Majhi, B. (2011), "IIR system identification using cat swarm optimization", Expert Syst. Applicat., 38, 12671-12683. https://doi.org/10.1016/j.eswa.2011.04.054   DOI
19 Liu, Y.J. and Li, Y.X. (2010), "Adaptive fuzzy output-feedback control of uncertain SISO nonlinear systems", Nonlinear Dyn., 61(4), 749-761. https://doi.org/10.1007/s11071-010-9684-8   DOI
20 Loria, A. and Nesic, D. (2003), "On uniform boundedness of parametrized discrete-time systems with decaying inputs: applications to cascades", Syst. Control Lett., 94, 163-174. https://doi.org/10.1016/S0167-6911(02)00319-5   DOI
21 Panteley, E. and Loria, A. (1998), "On global uniform asymptotic stability of nonlinear time-varying non autonomous systems in cascade", Syst. Control Lett., 33, 131-138. https://doi.org/10.1016/S0167-6911(97)00119-9   DOI
22 Pardhan, P.M. and Panda, G. (2012), "Solving multiobjective problems using cat swarm optimization", Expert Syst. Applicat., 39, 2956-2964. https://doi.org/10.1016/j.eswa.2011.08.157   DOI
23 Razavi, A. and Sarkar, P.P. (2018), "Laboratory investigation of the effects of translation on the near-ground tornado flow field", Wind Struct., Int. J., 26(3), 179-190. https://doi.org/10.12989/was.2018.26.3.179   DOI
24 Sharkey, P.M. and O'Reilly, J. (1988), "Composite control of nonlinear singularly perturbed systems: a geometric approach", Int. J. Control, 48, 2491-2506. https://doi.org/10.1080/00207178808906343   DOI
25 Sontag, E.D. (1988), "Smooth stabilization implies coprime factorization", IEEE Trans. Automat. Contr., 34, 435-443.   DOI
26 Sontag, E.D. and Wang, Y. (1995), "On characterizations of the input-state stability property", Syst. Control Lett., 24, 351-359.   DOI
27 Tsai, P.-W., Kham, M.K., Pan, J.-S. and Liao, B.-Y. (2012), "Interactive artificial bee colony supported passive continuous authentication system", IEEE Syst. J., 8(2), 395-405. https://doi.org/10.1109/JSYST.2012.2208153   DOI
28 Steinberg, A.M. and Kadushin, I. (1973), "Stabilization of nonlinear systems with dither control", J. Math. Anal. Applicat., 43, 273-284. https://doi.org/10.1016/0022-247X(73)90275-8   DOI
29 Tanaka, K., Ikeda, T. and Wang, H.O. (1996), "Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H control theory, and linear matrix inequalities", IEEE Trans. Fuzzy Syst., 4, 1-13. https://doi.org/10.1109/91.481840   DOI
30 Tsai, P.-W., Pan, J.-S., Liao, B.-Y. and Chu, S.-C. (2009), "Enhanced artificial bee colony optimization", Int. J. Innov. Comput. Inform. Control, 5(12), 5081-5092.
31 Tsai, P.W., Alsaedi, A., Hayat, T. and Chen, C.W. (2016), "A novel control algorithm for interaction between surface waves and a permeable floating structure", China Ocean Eng., 30, 161176.
32 Wang, H.O., Tanaka, K. and Griffin, M.F. (1996), "An approach to fuzzy control of nonlinear systems: stability and design issues", IEEE Trans. Fuzzy Syst., 4(1), 14-23. https://doi.org/10.1109/91.481841   DOI
33 Wang, Z.-H., Chang, C.-C. and Li, M.-C. (2012), "Optimizing least-significant-bit substitution using cat swarm optimization strategy", Inform. Sci., 192, 98-108.   DOI
34 Ying, Z.G., Ni, Y.Q. and Duan, Y.F. (2019), "Stochastic stability control analysis of an inclined stay cable under random and periodic support motion excitations", Smart Struct. Syst., Int. J., 23(6), 641-651. https://doi.org/10.12989/sss.2019.23.6.641   DOI
35 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., Int. J., 20(3), 363-388. https://doi.org/10.12989/was.2015.20.3.363   DOI