Probabilistically robust nonlinear design of control systems for base-isolated structures

Structural Control and Health Monitoring

Volumn 15, Issue 5, 2008, Pages 697-719

  Taflanidis, Alexandras A ^a   Scruggs, Jeffrey T ^b   Beck, James L ^a  

^a California Institute of Technology   (United States)

^b Duke University   (United States)

Author keywords

Base isolation; Nonlinear control; Probabilistic model uncertainty; Regenerative force actuation networks; Stochastic simulation; Structural control

Indexed keywords

ACTUATORS; BENCHMARKING; CONTROL THEORY; DAMPING; EARTHQUAKES; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; STRUCTURAL DYNAMICS; UNCERTAINTY ANALYSIS;

BASE ISOLATION; NON LINEAR CONTROL; PROBABILISTIC MODEL UNCERTAINTY; REGENERATIVE FORCE ACTUATION NETWORKS; STOCHASTIC SIMULATIONS; STRUCTURAL CONTROL;

CONTROLLERS;

EID: 49749133231     PISSN: 15452255     EISSN: 15452263     Source Type: Journal    
DOI: 10.1002/stc.275     Document Type: Article

References (32)

1. Housner GW, Bergman LA, Caughey TK, Cassiakos AG, Claus RO, Masri SF, Skelton RE, Soong TT, Spencer BFJ, Yao JTP. Structural control: past, present and future. Journal of Engineering Mechanics 1997; 123(9):897-971.
2. Spencer Jr BF, Nagarajaiah S. State of the art in structural control. ASCE Journal of Structural Engineering 2003; 129(7):845-856.
3. Narasimhan S, Nagarajaiah S, Gavin HP, Johnson EA. Smart base isolated benchmark building part I: problem definition. Journal of Structural Control and Health Monitoring 2006; 13(2-3):573-588.
4. Nagarajaiah S, Narasimhan S. Smart base isolated benchmark building. Part II - phase I sample controllers for linear isolation system. Journal of Structural Control and Health Monitoring 2006; 13(2-3):589-604.
5. Narasimhan S, Nagarajaiah S, Johnson EA. Smart base isolated benchmark building. Part IV: phase II. Sample controllers for nonlinear isolation systems. Journal of Structural Control and Health Monitoring 2008. DOI. 10.1002/stc.267.
6. Erkus B, Johnson EA. Smart base isolated benchmark building. Part III: a sample controller for bilinear isolation. Journal of Structural Control and Health Monitoring 2006; 13(2-3):605-625.
7. Hall FF, Heaton TH, Halling MW, Wald DJ. Near-source ground motion and its effects on flexible buildings. Earthquake Spectra 1995; 11(4):569-605.
8. Mavroeidis GP, Papageorgiou AP. A mathematical representation of near-fault ground motions. Bulletin of the Seismological Society of America 2003; 93(3):1099-1131.
9. Papadimitriou C, Beck JL, Katafygiotis LS. Updating robust reliability using structural test data. Probabilistic Engineering Mechanics 2001; 16:103-113.
10. May B, Beck J. Probabilistic control for the active mass driver benchmark structural model. Earthquake Engineering and Structural Dynamics 1998; 27(11):1331-1346.
11. Scruggs JT, Taflanidis AA, Beck JL. Reliability-based control optimization for active base isolation systems. Journal of Structural Control 2006; 13(2-3):705-723.
12. Yuen K, Beck J. Reliability-based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements. Earthquake Engineering and Structural Dynamics 2003; 32(5)751-770.
13. Taflanidis AA, Scruggs JT, Beck JL. Reliability-based performance objectives and probabilistic robustness in structural control applications. Journal of Engineering Mechanics 2008; 134(4):291-301.
14. Taflanidis AA, Angelides DC, Beck JL. Robust to uncertainties nonlinear controller design of offshore structures. The 17th International Conference of Offshore and Polar Engineering, Lisbon, Portugal, 2007; 194-201.
15. Beck JL, Katafygiotis LS. Updating models and their uncertainties. I: Bayesian statistical framework. Journal of Engineering Mechanics 1998; 124(4):455-461.
16. Taflanidis AA, Beck JL. Stochastic subset optimization for optimal reliability problems. Journal of Probabilistic Engineering Mechanics 2008; 23(2-3):324-338.
17. Taflanidis AA, Beck JL. An efficient framework for optimal robust stochastic system design using stochastic simulation. Computer Methods in Applied Mechanics and Engineering 2008. DOI: 10.1016/j.cma.2008.03.029.
18. Spall JC. Introduction to Stochastic Search and Optimization. Wiley-Interscience: New York, 2003.
19. Scruggs JT, Iwan WD. Structural control using regenerative force actuation networks. Journal of Structural Control and Health Monitoring 2005; 12:25-45.
20. Scruggs JT, Taflanidis AA, Iwan WD. Nonlinear stochastic controllers for semiactive and regenerative systems with guaranteed quadratic performance bounds. Part I - state feedback control. Journal of Structural Control and Health Monitoring 2007; 14(8):1101-1120.
21. Scruggs J. Structural control using regenerative force actuation networks. Ph.D. dissertation, Division of Engineering and Applied Sciences, Caltech, Pasadena, CA, 2004.
22. Taflanidis AA, Scruggs JT, Beck JL. Smart base isolation design including model uncertainty in ground motion characterization. The 4th International Conference on Earthquake Geotechnical Engineering, Thessaloniki, Greece, 2007.
23. Boore DM. Simulation of ground motion using the stochastic method. Pure and Applied Geophysics 2003; 160:635-676.
24. Somerville P. Development of an improved representation of near-fault ground motions. SIM P98-CDMG, Oakland, CA, 1998.
25. Bray JD, Rodriguez-Marek A. Characterization of forward-directivity ground motions in the near-fault region. Soil Dynamics and Earthquake Engineering 2004; 24:815-828.
26. Jangid RS, Kelly JM. Base isolation for near fault motions. Earthquake Engineering and Structural Dynamics 2001; 30:691-707.
27. Kramer SL. Geotechnical Earthquake Engineering. Prentice-Hall: New York, 2003.
28. Park YJ, Wen YK, Ang AHS. Random vibration of hysteretic systems under bi-directional ground motions. Earthquake Engineering and Structural Dynamics 1986; 14(4):543-557.
29. Nagarajaiah S, Narasimhan S, Johnson EA. Phase II smart base isolated benchmark building with nonlinear isolation systems. The 4th World Conference on Structural Control and Monitoring, San Diego, CA, 2006.
30. Taflanidis AA, Beck JL. Stochastic subset optimization for stochastic design. ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rethymno, Greece, 2007.
31. Atkinson GM, Silva W. Stochastic modeling of California ground motions. Bulletin of the Seismological Society of America 2000; 90(2):255-274.
32. Boore DM, Joyner WB. Site amplifications for generic rock sites. Bulletin of the Seismological Society of America 1997; 87:327-341.