Control strategies for large-scale structural systems: high-raise buildings and multi-building systems

This work presents an overview of some recent developments made by the authors in the field of vibrational control of largescale structural systems subject to seismic excitations. The structural systems under consideration are classified in two broad categories: (i) high-rise buildings, and (ii) multi-building systems. When dealing with high-rise buildings, the inclusion principle can be used as a powerful mathematical tool to design semi-decentralized state-feedback and output-feedback controllers. In the case of multi-building systems, a passive-active structural vibration control for adjacent buildings consisting in a combination of passive linking elements with an active decentralized control system is designed. Numerical simulations show that the overall active-passive control system achieves excellent results when the active control system works; in case of full or partial failure of the active control system, a remarkable reduction in the vibrational response is guaranteed by the passive linking elements. Three different building models serve as example to clarify the theoretical results and, at the same time, to show the advantages of the proposed control approaches

[1]  Srdjan S. Stankovic,et al.  Decomposition and decentralized control of systems with multi-overlapping structure , 2005, Autom..

[2]  Yl L. Xu,et al.  Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers , 1999 .

[3]  Josep M. Rossell,et al.  A design procedure for overlapped guaranteed cost controllers , 2008 .

[4]  Francisco Palacios Quiñonero,et al.  Decentralized control with information structure constraints , 2009 .

[5]  Dragoslav D. Šiljak,et al.  Overlapping Decentralized Control with Input and Output Inclusion , 1984 .

[6]  A. A Liolios,et al.  Chaotic behaviour in the non-linear optimal control of unilaterally contacting building systems during earthquakes , 2003 .

[7]  Altug Iftar,et al.  Contractible controller design and optimal control with state and input inclusion , 1990, Autom..

[8]  Yi-Qing Ni,et al.  RANDOM SEISMIC RESPONSE ANALYSIS OF ADJACENT BUILDINGS COUPLED WITH NON-LINEAR HYSTERETIC DAMPERS , 2001 .

[9]  Lubomír Bakule,et al.  Generalized selection of complementary matrices in the inclusion principle , 2000, IEEE Trans. Autom. Control..

[10]  Josep M. Rossell,et al.  Optimal complementary matrices in systems with overlapping decomposition: A computational approach , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[11]  Josep M. Rossell,et al.  Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems , 2010, Appl. Math. Comput..

[12]  Yl L. Xu,et al.  Experimental Seismic Study of Adjacent Buildings with Fluid Dampers , 2003 .

[13]  R. S. Jangid,et al.  Viscoelastic damper connected to adjacent structures involving seismic isolation , 2005 .

[14]  Dragoslav D. Siljak,et al.  Design of robust static output feedback for large-scale systems , 2004, IEEE Transactions on Automatic Control.

[15]  Dragoslav D. Šiljak,et al.  Decentralized control of complex systems , 2012 .

[16]  Francisco Palacios Quiñonero,et al.  Design of guaranteed cost overlapping controllers for a class of uncertain state-delay systems , 2009 .

[17]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[18]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[19]  Hongjun Liu,et al.  Optimum Design of the Control Devices for the Adjacent Structures under Earthquake Excitation , 2005, Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005..

[20]  S. M. Dumne,et al.  Seismic response analysis of adjacent buildings connected with MR dampers , 2010 .

[21]  Yi-Qing Ni,et al.  Stochastic optimal control of coupled structures , 2003 .

[22]  Lubomír Bakule,et al.  Structure of Expansion-Contraction Matrices in the Inclusion Principle for Dynamic Systems , 2000, SIAM J. Matrix Anal. Appl..

[23]  Jerome P. Lynch,et al.  Decentralized H ∞ Controller Design for Large-scale Civil Structures , 2008 .

[24]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[25]  R. S. Jangid,et al.  Seismic Response of Adjacent Buildings Connected with Friction Dampers , 2006 .

[26]  Kazuto Seto,et al.  Active Control of Structures , 2008 .

[27]  Srdjan S. Stankovic,et al.  Contractibility of overlapping decentralized control , 2001, Syst. Control. Lett..

[28]  Josep M. Rossell,et al.  A contribution to the contractibility problem for overlapping controllers , 2010 .

[29]  Erik A. Johnson,et al.  Semiactive Connected Control Method for Adjacent Multidegree-of-Freedom Buildings , 2007 .