Reliability-based robust control for uncertain dynamical systems using feedback of incomplete noisy response measurements

Earthquake Engineering and Structural Dynamics

Volumn 32, Issue 5, 2003, Pages 751-770

  Yuen, Ka Veng ^a   Beck, James L ^a  

^a California Institute of Technology   (United States)

Author keywords

Benchmark control problem; Robust control; Robust failure probability; Robust reliability; Stochastic control; Structural control

Indexed keywords

ACOUSTIC EMISSION TESTING; FEEDBACK; RELIABILITY; ROBUSTNESS (CONTROL SYSTEMS);

UNCERTAIN DYNAMICAL SYSTEMS;

STRUCTURAL ANALYSIS;

DYNAMIC RESPONSE; SEISMIC DESIGN; SEISMIC RESPONSE; STOCHASTICITY; STRUCTURAL RESPONSE;

EID: 0037466562     PISSN: 00988847     EISSN: None     Source Type: Journal    
DOI: 10.1002/eqe.247     Document Type: Article

References (31)

1. ∞ control problems. IEEE Transactions on Automatic Control 1989; 34(8):831-847.
2. Doyle JC, Francis BA, Tannenbaum AR. Feedback Control Theory. Macmillan: UK, 1992.
3. Cox RT. The Algebra of Probable Inference. Johns Hopkins Press: Baltimore, 1961.
4. Beck JL. System identification methods applied to measured seismic response. In Proceedings of Eleventh World Conference on Earthquake Engineering. Elsevier: New York, 1996.
5. Beck JL, Katafygiotis LS. Updating models and their uncertainties. 1: Bayesian statistical framework. Journal of Engineering Mechanics (ASCE) 1998; 124(4):455-461.
6. Stengel RF, Ray LR. Stochastic robustness of linear time-invariant control systems. IEEE Transactions on Automatic Control 1991; 36(1):82-87.
7. Marrison CI, Stengel RF. Stochastic robustness synthesis applied to a benchmark problem. International Journal of Robust Nonlinear Control 1995; 5:13-31.
8. Spencer BF, Kaspari DC. Structural control design: a reliability-based approach. In Proceedings of American Control Conference, Baltimore, MD, 1994; 1062-1066.
9. Spencer BF, Kaspari DC, Sain MK. Reliability-based optimal structural control. In Proceedings of Fifth U.S. National Conference on Earthquake Engineering, EERI, Oakland, California, 1994; 703-712.
10. Field RV, Hall WB, Bergman LA. A MATLAB-based approach to the computation of probabilistic stability measures for controlled systems. In Proceedings of First World Conference on Structural Control, International Association for Structural Control, Pasadena, 1994; TP4-13-TP4-22.
11. Field RV, Voulgaris PG, Bergman LA. Probabilistic stability robustness of structural systems. Journal of Engineering Mechanics (ASCE) 1996; 122(10):1012-1021.
12. Papadimitriou C, Beck JL, Katafygiotis LS. Asymptotic expansions for reliability and moments of uncertain systems. Journal of Engineering Mechanics (ASCE) 1997; 123(12):1219-1229.
13. Papadimitriou C, Katafygiotis LS, Au SK. Effects of structural uncertainties on TMD design: A reliability-based approach. Journal of Structural Control 1997; 4(1):65-88.
14. May BS, Beck JL. Probabilistic control for the active mass driver benchmark structural model. Earthquake Engineering and Structural Dynamics 1998; 27(11):1331-1346.
15. Soong TT. Active Structural Control: Theory and Practice. Wiley: New York, 1990.
16. Housner GW, Bergman LA, Caughey TK, Chassiakos AG, Claus RO, Masri SF, Skelton RE, Soong TT, Spencer BF, Yao JTP, Special issue on structural control: past, present, and future. Journal of Engineering Mechanics (ASCE) 1997; 123(9).
17. Caughey TK (Ed.). Special issue on benchmark problems. Earthquake Engineering and Structural Dynamics 1998; 27(11):1127-1397.
18. Papadimitriou C, Beck JL, Katafygiotis LS. Updating robust reliability using structural test data. Probabilistic Engineering Mechanics 2001; 16(2):103-113.
19. Dyke SJ, Spencer BF, Quast P, Sain MK. Role of control-structure interaction in protective system design. Journal of Engineering Mechanics (ASCE) 1995; 121(2):322-338.
20. Ivers DE, Miller LR. Semi-Active Suspension Technology: An Evolutionary View. Advanced Automotive Technologies, ASME Book No. H00719, 1991.
21. Lin YK. Probabilistic Theory of Structural Dynamics. Krieger: Malabar, FL, 1976.
22. Veneziano D, Grigoriu M, Cornell CA. Vector-process models for system reliability. Journal of Engineering Mechanics (ASCE) 1977; 103(EM3):441-460.
23. Au SK, Papadimitriou C, Beck JL. Reliability of uncertain dynamical systems with multiple design points. Structural Safety 1999; 21:113-133.
24. MATLAB. Matlab User's Guide. The MathWorks, Inc.: Natick, MA, 1994.
25. Yuen K-V, Katafygiotis LS. Bayesian modal updating using complete input and incomplete response noisy measurements. Journal of Engineering Mechanics (ASCE) 2002; 128(3):340-350.
26. Yuen K-V, Beck JL, Katafygiotis LS. Probabilistic approach for modal identification using non-stationary noisy response measurements only. Earthquake Engineering and Structural Dynamics 2002; 31(4):1007-1023.
27. Yuen K-V, Beck JL. Updating properties of nonlinear dynamical systems with uncertain input. Journal of Engineering Mechanics (ASCE) 2003; 129(1):9-20.
28. Yuen K-V. PhD thesis: Model selection, identification and robust control for dynamical systems. Technical Report EERL 2002-01, California Institute of Technology, Pasadena, USA, 2002.
29. Warburton GB, Ayorinde EO. Optimal absorber parameters for simple systems. Earthquake Engineering and Structural Dynamics 1980; 8:179-217.
30. Spencer BF, Dyke SJ, Deoskar HS. Benchmark problems in structural control: Part I-Active mass driver system. Earthquake Engineering and Structural Dynamics 1998; 27(11):1127-1139.
31. Dyke SJ, Spencer BF, Quast P, Kaspari DC, Sain MK. Implementation of an active mass driver using acceleration feedback control. Microcomputers in Civil Engineering 1996; 11:305-323.