Advanced SearchSearch Tips
Vibration control of hysteretic base-isolated structures: an LMI approach
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
  • Journal title : Smart Structures and Systems
  • Volume 17, Issue 2,  2016, pp.195-208
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.17.2.195
 Title & Authors
Vibration control of hysteretic base-isolated structures: an LMI approach
Pozo, Francesc; Pujol, Gisela; Acho, Leonardo;
Seismic isolation systems are essentially designed to preserve structural safety, prevent occupants injury and properties damage. An active saturated LMI-based control design is proposed to attenuate seismic disturbances in base-isolated structures under saturation actuators. Using a mathematical model of an eight-storied building structure, an active control algorithm is designed. Performance evaluation of the controller is carried out in a simplified model version of a benchmark building system, which is recognized as a state-of-the-art model for numerical experiments of structures under seismic perturbations. Experimental results show that the proposed algorithm is robust with respect to model and seismic perturbations. Finally, the performance indices show that the proposed controller behaves satisfactorily and with a reasonable control effort.
vibration control;base-isolated structures;active control;linear matrix inequalities;saturation;
 Cited by
Apkarian, P., Tuan, H.D. and Bernussou, J. (2001), "Continuous-time analysis, eigenstructure assignment and H2 synthesis with enhanced LMI characterizations", IEEE T. Autom. Control, 46(12), 1941-1946. crossref(new window)

Bahar, A., Pozo, F., Acho, L., Rodellar, J. and Barbat, A. (2010), "Hierarchical semi-active control of base-isolated structures using a new inverse model of magnetorheological dampers", Comput. Struct., 88(7-8), 483-496. crossref(new window)

Barbat, A., Rodellar, J., Ryan, E. and Molinares, N. (1995), "Active control of nonlinear base-isolated buildings", J. Eng. Mech.-ASCE, 121(6), 676-684. crossref(new window)

Boyd, S., Ghaoui, L.E., Feron, E. and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, USA.

Chang, C.M., Wang, Z., Spencer B.F. and Chen, Z. (2013), "Semi-active damped outriggers for seismic protection of high-rise buildings", Smart Struct. Syst., 11(5), 435-451. crossref(new window)

Ghaffarzadeh, H. (2013), "Semi-active structural fuzzy control with MR dampers subjected to near-fault ground motions having forward directivity and fling step", Smart Struct. Syst., 12(6), 595-617. crossref(new window)

Hu, T. and Lin, Z. (2001), Control Systems with Actuator Saturation: Analysis and Design, Birkhauser, Boston, MA, USA.

Ikhouane, F., Manosa, V. and Rodellar, J. (2005), "Adaptive control of a hysteretic structural system", Automatica, 41(2), 225-231. crossref(new window)

Ikhouane, F. and Rodellar, J. (2007), Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model, John Wiley and Sons, Inc., Chichester, UK.

Ji, X., Syn, Y. and Su, H. (2009), "H infinity control for linear systems with state saturation nonlinearities", Asian J. Control, 11(6), 694-699. crossref(new window)

Lan, W. and Wang, D. (2010), "Structural design if composite nonlinear feedback control for linear systems with actuator constraint", Asian J. Control, 12(5), 616-625. crossref(new window)

Luo, N., Rodellar, J., Vehi, J. and De la Sen, M. (2001), "Composite semiactive control of a class of seismically excited structures", J. Franklin Inst., 338(2-3), 225-240. crossref(new window)

Narasimhan, S., Nagarajaiah, S. Johnson, E.A. and Gavin, H.P. (2006), "Smart base-isolated benchmark building. Part I: Problem definition", Struct. Control Health Monit., 13(2-3), 573-588. crossref(new window)

Nguyen, T. and Jabbari, F. (1999), "Disturbance attenuation for systems with input saturation: an LMI approach", IEEE T. Autom. Control, 44(4), 852-857. crossref(new window)

Oliveira, R.C.L.F. and Peres, P.L.D. (2006), "LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions", Syst. Control Lett., 55(1), 52-61. crossref(new window)

Pnevmatikos, N.G. and Gantes C.J. (2011), "Influence of time delay and saturation capacity to the response of controlled structures under earthquake excitations", Smart Struct. Syst., 8(5), 449-470. crossref(new window)

Rodriguez, A., Pozo, F., Bahar, A., Acho, L., Vidal, Y. and Rodellar, J. (2012), "Force-derivative feedback semi-active control of base-isolated building using large-scale MR fluid dampers", Struct. Control Health Monit., 19(1), 120-145. crossref(new window)

Sadek, F., Ftima, M.B., El-Borgi, S., McCormick, J. and Riley, M.A. (2003), "An innovative approach for controlling hysteretic structures using static output feedback H infinity algorithm and stochastic linearization techniques", Proceedings of the 3rd World Conference on Structural Control, Como, Italy.

Skinner, R.I., Robinson, G.H. and McVerry, G.H. (1992), An Introduction to Seismic Isolation, John Wiley and Sons, Inc., Chichester, UK.

Tang, X.M. and Yu, J.S. (2011), "H infinity performance analysis for discrete-time systems with additive time-varying delays", Asian J. Control, 13(2), 338-344. crossref(new window)

Vicent, T.L. and Grantham, W.J. (1997), Nonlinear and Optimal Control Systems, Wiley, New York, NY, USA.

Xu, Z., Agrawal, A.K. and Yang, J.N. (2006), "Semi-active and passive control of the phase I linear base-isolated benchmark building model", Struct. Control Health Monit., 13(2-3), 626-648. crossref(new window)

Yang, J.N. and Agrawal, A.K. (2002), "Semi-active hybrid control systems for nonlinear buildings against near-field earthquakes", Eng. Struct., 24(3), 271-280. crossref(new window)