Vibration Attenuation of Nonlinear Hysteretic Structures with Fully Unknown Parameters
الموضوعات : journal of Artificial Intelligence in Electrical EngineeringSaheleh Khodabakhshi 1 , Mahdi Baradaran-nia 2
1 - 1Department of Electrical Engineering. Ahar Branch, Islamic Azad University, Ahar, Iran
2 - Department of Control Engineering, Faculty of Electrical and Computer Engineering,
University of Tabriz, , Tabriz, Iran
الکلمات المفتاحية: Active control of nonlinear structures, structures with uncertain parameters, Bouc-, Wen model, vibration mitigation of structures,
ملخص المقالة :
Natural hazards such as earthquakes have threatened the life of human beings during the history.As a consequence, the vibration mitigation of structures has caught great importance. Activecontrol of structures is one of the rapidly emerging areas in the concept of structural control. Thispaper presents a control method to deal with this subject when the dynamics of the structure ishysteretic and the parameters of the structure contain uncertainties. The hysteresis behavior of thestructure is modeled using Bouc-Wen equation and the uncertainty is considered in its parameters.For control purpose, sliding mode method and its adaptive version are used. The salient point ofadaptive sliding mode technique is that it does not use the uncertainty bounds in its controller; thisis correspondent to the fact that the estimation of the structural parameters may not be exact. Theefficiency of the proposed method is shown with a simulation.
[1] Baradaran-nia, M., Alizadeh, G., Khanmohammadi,
S., and FarahmandAzar, B., (2013). “Backsteppingbased
lyapunov redesign control of hysteretic single
degree-of-freedom structural systems,” Nonlinear
Dynamics, vol. 73, no. 1-2, pp. 1165–1186.
[2] Baradaran-nia, M., Alizadeh, G., Khanmohammadi,
S., and Farahmand Azar, B., (2012). “Optimal
sliding mode control of single degree-of-freedom
hysteretic structural system,” Communications in
Nonlinear Science and Numerical Simulation, vol.
17, no. 11, pp. 4455–4466.
[3] Bouc, R., (1971). “A mathematical model for
hysteresis,” Acta Acustica united with Acustica, vol.
24, no. 1, pp. 16–25.
[4] Chen M. Sh, Hwang Y. R and Tomizuka M (2002),
“A state-dependent boundary layer design for
sliding mode control”, IEEE transactions on
automatic, vol. 47, no. 10, pp. 1677-1681.
[5] Fatemi, L., Momeni, H., Alizadeh, G., and
Baradaran-nia, M., (2012). “Adaptive sliding mode
control of a single degree-of-freedom structure with
parameter uncertainty,” in Intelligent Systems,
Modelling and Simulation (ISMS), 2012 Third
International Conference on. IEEE, pp. 405– 410.
[6] Howson, W. P., Williams, F. W., et al., (2007).
“Robust H∞ control for aseismic structures with
uncertainties in model parameters,” Earthquake
Engineering and Engineering Vibration, vol. 6, no.
4, pp. 409–416.
[7] Ikhouane, F., and Rodellar, J., (2007). Systems with
hysteresis: analysis, identification and control using
the Bouc-Wen model. John Wiley & Sons.
[8] Ikhouane, F., MañOsa, V., and Rodellar, J., (2005).
“Adaptive control of a hysteretic structural system,”
Automatica, vol. 41, no. 2, pp. 225–231.
[9] Pozo, F., Ikhouane, F., Pujol, G., and Rodellar, J.,
(2006). “Adaptive backstepping control of
hysteretic base-isolated structures,” Journal of
Vibration and Control, vol. 12, no. 4, pp. 373–394.
[10] Soong, T., and Spencer, B., (2000). “Active, semiactive
and hybrid control of structures,” Bulletin of
the New Zealand National Society for
EarthquakeEngineering, vol. 33, no. 3, pp. 387–402.
[11] Wang, S.-G., Yeh, H., and Roschke, P., (2004).
“Robust active control for structural systems with
structured uncertainties,” Nonlinear Dynamics and
Systems Theory, vol. 4, no. 2, pp. 195–216.
[12] Wang, S.-G., Shieh, L. S., and Sunkel, J. W., (1995).
“Robust optimal pole-placement in a vertical strip
and disturbance rejection,” International journal of
Systems science, vol. 26, no. 10, pp. 1839–1853.
[13] Wang, S.-G., Yeh, H., and Roschke, P. N., (2001).
“Robust control for structural systems with
parametric and unstructured uncertainties,” Journal
of Vibration and Control, vol. 7, no. 5, pp. 753–772.
[14] Wen, Y.-K., (1976). “Method for random vibration
of hysteretic systems,” Journal of the Engineering
Mechanics Division, vol. 102, no. 2, pp. 249–263.
[15] Yao, J., (1972). “Concept of structural control,”
Journal of Structural Division, vol. 98, no. 7, pp.1567–1574.
[16] Zhang, W., Chen, Y., and Gao, H., (2011). “Energyto-
peak control for seismic-excited buildings with
actuator faults and parameter uncertainties,” Journal
of Sound and Vibration, vol. 330, no. 4, pp. 581–
602.