Structural control design: a reliability-based approach

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

Research output: Contribution to journalArticlepeer-review


This paper develops probabilistically-based optimal control strategies which focus on increasing the safety and reliability of a seismically excited structure by minimizing the extreme responses of the structure. 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 explicitly incorporated into the optimization algorithm. First and second order reliability methods (FORM/SORM) are employed for calculation of the required probabilities. Numerical examples using a single story structure subject to seismic excitation are provided to illustrate the approach. Comparisons are made with extensive Monte Carlo simulation to demonstrate the efficiency and accuracy of the approach.

Original languageEnglish (US)
Pages (from-to)1062-1066
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering


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