LQR Control of Wind Excited Benchmark Building Using Variable Stiffness Tuned Mass Damper

LQR control of wind induced motion of a benchmark building is considered. The building is fitted with a semiactive variable stiffness tuned mass damper adapted from the literature. The nominal stiffness of the device corresponds to the fundamental frequency of the building and is included in the system matrix. This results in a linear time-invariant system, for which the desired control force is computed using LQR control. The control force thus computed is then realized by varying the device stiffness around its nominal value by using a simple control law. A nonlinear static analysis is performed in order to establish the range of linearity, in terms of the device (configuration) angle, for which the control law is valid. Results are obtained for the cases of zero and nonzero structural stiffness variation. The performance criteria evaluated show that the present method provides displacement control that is comparable with that of two existing controllers. The acceleration control, while not as good as that obtained with the existing active controller, is comparable or better than that obtained with the existing semiactive controller. By using substantially less power as well as control force, the present control yields comparable displacement control and reasonable acceleration control.

[1]  Francesco Ricciardelli,et al.  Passive and active mass damper control of the response of tall buildings to wind gustiness , 2003 .

[2]  Bijan Samali,et al.  Benchmark Problem for Response Control of Wind-Excited Tall Buildings , 2004 .

[3]  Takuji Kobori,et al.  Seismic response controlled structure with Active Variable Stiffness system , 1993 .

[4]  Jann N. Yang,et al.  RESETTING SEMIACTIVE STIFFNESS DAMPER FOR SEISMIC RESPONSE CONTROL , 2000 .

[5]  Biswajit Basu,et al.  Bang-Bang and Semiactive Control with Variable Stiffness TMDs , 2008 .

[6]  Hassan Haji Kazemi,et al.  Semi-active Control of Structures Using Neuro-Predictive Algorithm for MR Dampers , 2008 .

[7]  Lothar Gaul,et al.  Semi-active friction damping of large space truss structures , 2004 .

[8]  Zexiang Li,et al.  Control of seismic-excited buildings using active variable stiffness systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[9]  Hyun-Chul Sohn,et al.  A Road-Adaptive LQG Control for Semi-Active Suspension Systems , 2001 .

[10]  Satish Nagarajaiah,et al.  WIND RESPONSE CONTROL OF BUILDING WITH VARIABLE STIFFNESS TUNED MASS DAMPER USING EMPIRICAL MODE DECOMPOSITION/HILBERT TRANSFORM , 2004 .

[11]  J. N. Yang,et al.  Active Control of Transmission Tower under Stochastic Wind , 1998 .

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

[13]  Satish Nagarajaiah,et al.  Structures with Semiactive Variable Stiffness Single/Multiple Tuned Mass Dampers , 2007 .

[14]  Marina Schroder,et al.  Structural Control Past Present And Future , 2016 .

[15]  Michael C. Constantinou,et al.  Semi-active control systems for seismic protection of structures: a state-of-the-art review , 1999 .

[16]  Satish Nagarajaiah,et al.  Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD , 2005 .

[17]  David C. Nemir,et al.  Semiactive Motion Control Using Variable Stiffness , 1994 .

[18]  E. Davison,et al.  On "A method for simplifying linear dynamic systems" , 1966 .

[19]  D. Naidu,et al.  Optimal Control Systems , 2018 .

[20]  Takuji Kobori,et al.  Active variable stiffness system with non‐resonant control , 2001 .