Abstract
This paper presents a nonlinear control for a hydraulic seismic isolator test rig with significant nonlinearities. These are the key factors causing delay and error in the hydraulic actuation response and highly limit the performances of the classical linear control. Hence, a nonlinear control design based on the mathematical model of the hydraulic actuator is employed. The proposed approach consists of a nonlinear feedback control based on the state-dependent Riccati equation (SDRE). The control performance is demonstrated by means of real-time experiments.
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References
Skinner, R.I., Robinson, W.H., McVerry, G.H.: An Introduction to Seismic Isolation. Wiley, Chichester (1993)
Naeim, F., Kelly, J.M.: Design of Seismic Isolated Structures: From Theory to Practice. Wiley, Chichester (1999)
Yoshioka, H., Ramallo, J.C., Spencer Jr, B.F.: “Smart” base isolation strategies employing magnetorheological dampers. J. Eng. Mech. 128(11), 540–551 (2002)
Chang, C.M., Spencer Jr, B.F.: Active base isolation of buildings subjected to seismic excitations. Earthq. Eng. Struct. Dynam. 39, 1493–1512 (2010)
Hwang, J.S., Wu, J.D., Pan, T.C., Yang, G.: A mathematical hysteretic model for elastomeric isolation bearings. Earthq. Eng. Struct. Dynam. 31, 771–789 (2002)
Kikuchi, M., Aiken, I.D.: An analytical hysteresis model for elastomeric seismic isolation bearings. Earthq. Eng. Struct. Dynam. 26(2), 215–231 (1997)
Merritt, H.E.: Hydraulic Control Systems. Wiley (1967)
Pagano, S., Russo, R., Strano, S., Terzo, M.: Non-linear modelling and optimal control of a hydraulically actuated seismic isolator test rig. Mech. Syst. Signal Process. 35(1–2), 255–278 (2013)
Pagano, S., Russo, M., Strano, S., Terzo, M.: A mixed approach for the control of a testing equipment employed for earthquake isolation systems. In: Proceedings IMechE, Part C: Journal of Mechanical Engineering Science. doi:10.1177/0954406213484424
Çimen, T.: Survey of state-dependent riccati equation in nonlinear optimal feedback control synthesis. AIAA J. Guidance Control Dyn. 35(4), 1025–1047 (2012)
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© 2016 Springer International Publishing Switzerland
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Pagano, S., Russo, R., Strano, S., Terzo, M. (2016). State-Dependent Riccati Equation-Based Tracking Control of a Hydraulic Seismic Isolator Test Rig. In: Dimirovski, G. (eds) Complex Systems. Studies in Systems, Decision and Control, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-319-28860-4_15
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DOI: https://doi.org/10.1007/978-3-319-28860-4_15
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