This study discusses a robust controller synthesis methodology for linear, time invariant systems, under probabilistic parameter uncertainty. Optimization of probabilistic performance robustness for and multi-objective measures is investigated, as well as for performance measures based on first-passage system reliability. The control optimization approaches proposed here exploit recent advances in stochastic simulation techniques. The approach is illustrated for vibration response suppression of a civil structure. The results illustrate that, for problems with probabilistic uncertainty, the explicit optimization of probabilistic performance robustness can result in markedly different optimal feedback laws, as well as enhanced performance robustness, when compared to traditional “worst-case” notions of robust optimal control.
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e-mail: a.taflanidis@nd.edu
e-mail: jeff.scruggs@duke.edu
e-mail: jimbeck@caltech.edu
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September 2010
Research Papers
Robust Stochastic Design of Linear Controlled Systems for Performance Optimization
Alexandros A. Taflanidis,
Alexandros A. Taflanidis
Department of Civil Engineering and Geological Sciences,
e-mail: a.taflanidis@nd.edu
University of Notre Dame
, Notre Dame, IN 46556
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Jeffrey T. Scruggs,
Jeffrey T. Scruggs
Department of Civil and Environmental Engineering,
e-mail: jeff.scruggs@duke.edu
Duke University
, Durham, NC 27708
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James L. Beck
James L. Beck
Engineering and Applied Science Division,
e-mail: jimbeck@caltech.edu
California Institute of Technology
, Pasadena, CA 91125
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Alexandros A. Taflanidis
Department of Civil Engineering and Geological Sciences,
University of Notre Dame
, Notre Dame, IN 46556e-mail: a.taflanidis@nd.edu
Jeffrey T. Scruggs
Department of Civil and Environmental Engineering,
Duke University
, Durham, NC 27708e-mail: jeff.scruggs@duke.edu
James L. Beck
Engineering and Applied Science Division,
California Institute of Technology
, Pasadena, CA 91125e-mail: jimbeck@caltech.edu
J. Dyn. Sys., Meas., Control. Sep 2010, 132(5): 051008 (15 pages)
Published Online: August 19, 2010
Article history
Received:
November 5, 2009
Revised:
May 3, 2010
Online:
August 19, 2010
Published:
August 19, 2010
Citation
Taflanidis, A. A., Scruggs, J. T., and Beck, J. L. (August 19, 2010). "Robust Stochastic Design of Linear Controlled Systems for Performance Optimization." ASME. J. Dyn. Sys., Meas., Control. September 2010; 132(5): 051008. https://doi.org/10.1115/1.4001849
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