Semi-Active Control Using Magnetorhelogical Dampers with Output Feedback and Distributed Sensing

Control of seismic response of a building fitted with magnetorheological dampers is considered using Optimal Static Output Feedback (OSOF) for desired damper forces. The Modified Bouc-Wen damper model is used and two control voltage laws based on the MR constraint filter, i.e., Semi-inverse Quadratic Voltage Law and Semi-inverse On-Off Voltage Law, are proposed. These appear to perform at least as well as an existing Clipped Voltage Law. Comparisons with available results from a robust reliability-based controller show OSOF control to be quite effective. Controlled response using OSOF is compared with Linear Quadratic Guassian (LQG) and passive-on controllers. Moderate to substantial reduction in maximum peak/RMS responses is mostly obtained with base configuration of sensors when using OSOF control, and controller CPU time reduces by two orders of magnitude. Parametric studies regarding sensor configuration and state/control weighting matrices are performed in order to obtain effective control. Effective OSOF control requires drift feedback with drift sensor preferably collocated with damper.

[1]  Sharadkumar P. Purohit,et al.  Optimal static output feedback control of a building using an MR damper , 2011 .

[2]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[3]  Shirley J. Dyke,et al.  Semiactive Control Strategies for MR Dampers: Comparative Study , 2000 .

[4]  M. Athans,et al.  On the determination of the optimal constant output feedback gains for linear multivariable systems , 1970 .

[5]  Shirley J. Dyke,et al.  PHENOMENOLOGICALMODEL FOR MAGNETORHEOLOGICALDAMPERS , 1997 .

[6]  Shirley J. Dyke,et al.  Benchmark Control Problems for Seismically Excited Nonlinear Buildings , 2004 .

[7]  Chih-Chen Chang,et al.  NEURAL NETWORK EMULATION OF INVERSE DYNAMICS FOR A MAGNETORHEOLOGICAL DAMPER , 2002 .

[8]  S. Lau,et al.  Steady-state oscillation of hysteretic differential model. I: Response analysis , 1994 .

[9]  Zhao-Dong Xu,et al.  Intelligent Bi-State Control for the Structure with Magnetorheological Dampers , 2003 .

[10]  L. Wang,et al.  Modelling hysteretic behaviour in magnetorheological fluids and dampers using phase-transition theory , 2006 .

[11]  T. T. Soong,et al.  Active, Hybrid, and Semi-active Structural Control: A Design and Implementation Handbook , 2005 .

[12]  S. Narayanan,et al.  Optimal semi-active preview control response of a half car vehicle model with magnetorheological damper , 2009 .

[13]  Billie F. Spencer,et al.  Seismic Response Reduction Using Magnetorheological Dampers , 1996 .

[14]  Ion Stiharu,et al.  A new dynamic hysteresis model for magnetorheological dampers , 2006 .

[15]  Shirley J. Dyke,et al.  PHENOMENOLOGICAL MODEL FOR MAGNETORHEOLOGICAL DAMPERS , 1997 .

[16]  James L. Beck,et al.  Structural protection using MR dampers with clipped robust reliability-based control , 2007 .

[17]  H. Ohmori,et al.  Modeling of MR damper with hysteresis for adaptive vibration control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[18]  Luis Alvarez-Icaza,et al.  LuGre friction model for a magnetorheological damper , 2005 .

[19]  L. L. Chung,et al.  Optimal Direct Output Feedback of Structural Control , 1993 .

[20]  A. Calise,et al.  Convergence of a numerical algorithm for calculating optimal output feedback gains , 1985 .

[21]  Mahendra P. Singh,et al.  Output-feedback sliding-mode control with generalized sliding surface for civil structures under earthquake excitation , 1998 .

[22]  N. K. Chandiramani,et al.  Semi-active vibration control of connected buildings using magnetorheological dampers , 2011 .

[23]  Victor M. Becerra,et al.  Optimal control , 2008, Scholarpedia.