Cost Cumulant Control: State-Feedback, Finite-Horizon Paradigm with Application to Seismic Protection

K.D. Pham, M.K. Sain and S.R. Liberty
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K.D. Pham: University of Notre Dame
M.K. Sain: University of Notre Dame
S.R. Liberty: Bradley University

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 3, No 12, 685-710

Abstract: Abstract The paper is concerned with the study of the optimal control which minimizes a finite linear combination of the first k cost cumulants of a finite-horizon integral quadratic form associated with a linear stochastic system, when the controller measures the states. The solution is investigated by adapting dynamic programming techniques to the nontraditional forms evidenced by cumulant representations. The performance of this k-cost cumulant (kCC) controller is compared to that of the best control paradigms published for the American Society of Civil Engineers first-generation structure benchmark for seismically excited buildings; the simulation results indicate that the newly developed control paradigm makes better use of the available control limits and achieves uniform improvement in the officially defined performance statistics for floor vibrations and accelerations.

Keywords: Integral quadratic cost; cost cumulant control; dynamic programming; earthquake engineering benchmark (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (3)

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DOI: 10.1023/A:1021263416188

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