245
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

An LMI approach to vibration control of base-isolated building structures with delayed measurements

, &
Pages 1511-1523 | Received 05 Nov 2008, Accepted 06 Oct 2009, Published online: 20 Oct 2010

References

  • Balas , MJ . 1982 . Trends in Large Space Structure Control Theory: Fondest Hopes, Wildest Dreams . IEEE Transactions on Automatic Control , 27 : 522 – 535 .
  • Cavallo , A , Maria , G and Setola , R . 1999 . A Sliding Manifold Approach for Vibration Reduction of Flexible Systems . Automatica , 35 : 1689 – 1696 .
  • Dyke , S , Spencer , B , Sain , M and Carlson , J . 1996 . Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction . Smart Materials and Structures , 5 : 565 – 575 .
  • Gao , H , Chen , T and Lam , J . 2008 . A New Delay System Approach to Network-based Control . Automatica , 44 : 39 – 52 .
  • Gao , H and Wang , C . 2003 . Comments and Further Results on ‘A Descriptor System Approach to H ∞ Control of Linear Time-delay Systems . IEEE Transactions on Automatic Control , 48 : 520 – 525 .
  • He , Y , Wang , QG , Lin , C and Wu , M . 2007 . Delay-range-dependent Stability for Systems with Time-varying Delay . Automatica , 43 : 371 – 376 .
  • Hong , S , Park , CH and Park , HC . 2006 . Vibration Control of Beams using Multiobjective State-feedback Control . Smart Materials and Structures , 15 : 157 – 163 .
  • Jansen , L and Dyke , S . 2000 . Semiactive Control Strategies for MR Dampers: Comparative Study . Journal of Engineering Mechanics , 126 : 795 – 803 .
  • Jung , RY and Shing , PB . 2006 . Performance Evaluation of a Real-time Pseudodynamic Test System . Earthquake Engineering and Structural Dynamics , 35 : 789 – 810 .
  • Karimi , HR . 2006 . Optimal Vibration Control of Vehicle Engine-body System using Haar Functions . International Journal of Control, Automation, and Systems , 4 : 714 – 724 .
  • Karimi , HR . 2008 . Observer-based Mixed H 2/H ∞ Control Design for Linear Systems with Time-varying Delays: An LMI Approach . International Journal of Control, Automation, and Systems , 6 : 1 – 14 .
  • Karimi, H.R., and Gao, H. (2010), ‘New Delay-dependent Exponential H ∞ Synchronization for Uncertain Neural Networks with Mixed Time Delays’, IEEE Transactions on Systems, Man, and Cybernetics-Part B., 40, 173–185
  • Karimi , HR and Gao , H . 2008 . LMI-based Delay-dependent Mixed H 2/H ∞ Control of Second-order Neutral Systems with Time-Varying State and Input Delays . ISA Transactions , 47 : 311 – 324 .
  • Karimi , HR , Zapateiro , M and Luo , N . 2008 . An LMI Approach to H ∞ Control of Vehicle Engine-body Vibration Systems with Time-varying Actuator Delay . Journal of Systems and Control Engineering, Proceedings of the Institution of Mechanical Engineers, Part I , 222 : 883 – 899 .
  • Karimi , HR , Zapateiro , M and Luo , N . 2009 . Vibration Control of Base-isolated Structures Using Mixed H 2/H ∞ Output-Feedback Control . Journal of Systems and Control Engineering, Proceedings of the Institution of Mechanical Engineers , 223 : 809 – 820 .
  • Karkoub , MA and Zribi , M . 2006 . Active/Semi-Active Suspension Control using Magnetorheological Actuators . International Journal of Systems Science , 37 : 35 – 44 .
  • Kim , H and Roschke , P . 2006 . Fuzzy Control of Base-isolation System Using Multiobjective Genetic Algorithm . Computer-Aided Civil and Infrastructure Engineering , 21 : 436 – 446 .
  • Lam , J , Gao , H and Wang , C . 2005 . H ∞ Model Reduction of Linear Systems with Distributed Delay . IEE Proceedings of Control Theory Applications , 152 : 662 – 674 .
  • Lian , R-J , Lin , B-F and Sie , W-T . 2005 . Self-organizing Fuzzy Control of Active Suspension Systems . International Journal of Systems Science , 36 : 119 – 135 .
  • Liu , Y , Wang , Z and Liu , X . 2007 . Robust H ∞ Control for a Class of Nonlinear Stochastic Systems with Mixed Time-delay . International Journal of Robust and Nonlinear Control , 17 : 1525 – 1551 .
  • Luo , N , Rodellar , J , De la Sen , M and Vehi , J . 2000 . Output Feedback Sliding Mode Control of Base Isolated Structures . Journal of the Franklin Institute , 337 : 555 – 577 .
  • Luo , N , Rodellar , J , Vehí , J and la Sen , MD . 2001 . Composite Semiactive Control of a Class of Seismically Excited Structures . Journal of the Franklin Institute , 338 : 225 – 240 .
  • Luo, N., Villamizar, R., and Vehi, J. (2007), ‘Backstepping Control of Nonlinear Building Structures with Hysteretic and Frictional Dynamics’, in European Control Conference, Kos, Greece, pp. 1–6
  • Moon , S , Bergman , L and Voulgaris , P . 2003 . Sliding Mode Control of Cable-stayed Bridge Subjected to Seismic Excitation . Journal of Engineering Mechanics , 129 : 71 – 78 .
  • Mou , S , Gao , H , Qiang , W and Chen , K . 2008 . New Delay-dependent Exponential Stability for Neural Networks with Time Delay . IEEE Transactions on System, Man, and Cybernetics, Part B , 38 : 571 – 576 .
  • Nagarajaiah, S., Narasimhan, S., Agrawal, A., and Tang, P., (2006), ‘Semiactive Lyapunov Controller for Phase II Seismic Isolated Bridge Benchmark’, in ‘Structures Congress 2006’, St. Louis, MO, USA, pp. 1–17
  • Narasimhan , S , Nagarajaiah , S , Johnson , E and Gavin , H . 2006 . Smart Base Isolated Benchmark Building Part I: Problem Definition . Journal of Structural Control , 13 : 573 – 588 .
  • Park , C and Jeon , D . 2002 . Semiactive Vibration Control of a Smart Seat with an MR Fluid Damper Considering its Time Delay . Journal of Intelligent Material Systems and Structures , 13 : 521 – 524 .
  • Ramallo , J , Johnson , EA and Spencer , B . 2002 . “Smart” Based Isolation Systems . Journal of Engineering Mechanics , 128 : 1088 – 1099 .
  • Schurter , K and Roschke , P . 2001 . Neuro-fuzzy Control of Structures Using Acceleration Feedback . Smart Materials and Structures , 10 : 770 – 779 .
  • Shi , P , Zhang , J , Qiu , J and Xing , L . 2007 . New Global Asymptotic Stability Criterion for Neural Networks with Discrete and Distributed Delays . Proceedings of the Institution of Mechanical Engineers, Part I, Journal Systems and Control Engineering , 221 : 129 – 135 .
  • Shield , CK , French , CW and Timm , J . 2001 . Development and Implementation of the Effective Force Testing Method for Seismic Simulation of Large-scale Structures . Philosophical Transactions of the Royal Society: Theme Issue on Dynamic Testing of Structures , 359 : 1911 – 1929 .
  • Spencer , B and Sain , M . 1997 . Controlling Buildings: A New Frontier in Feedback . IEEE Control Systems Magazine , 17 : 19 – 35 .
  • Wang , X and Gordaninejad , F . 2002 . Lyapunov-based Control of a Bridge Using Magnetorheological Fluid Dampers . Journal of Intelligent Material Systems and Structures , 13 : 415 – 419 .
  • Wang , Z , Ho , DWC , Liu , Y and Liu , X . 2009 . Robust H ∞ Control for a Class of Nonlinear Discrete Time-delay Stochastic Systems with Missing Measurements . Automatica , 45 : 684 – 691 .
  • Wang , ZH and Hu , HY . 2006 . Stabilization of Vibration Systems via Delayed State Difference Feedback . Journal of Sound and Vibration , 296 : 117 – 129 .
  • Wang , Z , Yang , F , Ho , DWC and Liu , X . 2007 . Robust H ∞ Control for Networked Systems with Random Packet Losses . IEEE Transactions on Systems, Man, and Cybernetics-Part B , 37 : 916 – 924 .
  • Wu , L and Wang , Z . 2009 . Guaranteed Cost Control of Switched Systems with Neutral Delay via Dynamic Output Feedback . International Journal of Systems Science , 40 : 717 – 728 .
  • Yao Wang , Y , Wang , Z and Liang , J . 2008 . A Delay Fractioning Approach to Global Synchronization of Delayed Complex Networks with Stochastic Disturbances . Physics Letters A , 372 : 6066 – 6073 .
  • Yoshioka , H , Ramallo , J and Spencer , B . 2002 . Smart Based Isolation Strategies Employing Magnetorheological Dampers . Journal of Engineering Mechanics , 128 : 540 – 551 .
  • Zapateiro, M., Karimi, H.R., Luo, N., and Spencer Jr, B.F. (2009a), ‘Semiactive Backstepping Control for Vibration Reduction in a Structure with Magnetorheological Damper Subject to Seismic Motions’, Journal of Intelligent Material Systems and Structures, 20, 2037–2063
  • Zapateiro , M , Karimi , HR , Luo , N and Spencer , BF Jr . 2009b . Frequency Domain Control Based on Quantitative Feedback Theory for Vibration Suppression in Structures Equipped with Magnetorheological Dampers . Smart Materials and Structures , 18 : 095041
  • Zapateiro, M., Karimi, H.R., Luo, N., and Spencer Jr, B.F. (2010), ‘Real-time Hybrid Testing of Semiactive Control Strategies for Vibration Reduction in a Structure with MR Damper’, Journal of Structural Control and Health Monitoring., 17, 427–451
  • Zapateiro , M , Luo , N , Karimi , HR and Vehí , J . 2009 . Vibration Control of a Class of Semiactive Suspension System using Neural Network and Backstepping Techniques . Journal of Mechanical Systems and Signal Processing , 23 : 1946 – 1953 .
  • Zhao , YY and Xu , J . 2007 . Effects of Delayed Feedback Control on Nonlinear Vibration Absorber System . Journal of Sound and Vibration , 308 : 212 – 230 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.