Optimal structural control: A reliability-based approach

D. C. Kaspari, B F Spencer, M. K. Sain

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution


This paper develops probabilistically-based optimal control strategies which focus on minimizing the extreme responses of a structure subject to stochastic excitation. A performance function is chosen that is directly related to the failure probability for the structure. Optimization is performed over a parameterized class of controllers, subject to a probabilistic constraint on the available control effort. System uncertainty is modelled parametrically and is incorporated into the optimization algorithm. First and second order reliability methods (FORM/SORM) are employed for calculation of the required probabilities. A numerical example using a two story structure subject to seismic excitation is provided to illustrate the approach. The probability estimates based on the FORM/SORM approach are compared with Monte Carlo simulation (MCS) to demonstrate the efficiency and accuracy of the FORM/SORM approach.

Original languageEnglish (US)
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise
Number of pages8
Edition3 Pt A/2
StatePublished - 1995
Externally publishedYes
EventProceedings of the 1995 ASME Design Engineering Technical Conference - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995


OtherProceedings of the 1995 ASME Design Engineering Technical Conference
CityBoston, MA, USA

ASJC Scopus subject areas

  • Engineering(all)

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