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Probabilistic Control for the Active-Mass-Driver Benchmark Model

May, B. Scott and Beck, James L. (1998) Probabilistic Control for the Active-Mass-Driver Benchmark Model. Earthquake Engineering and Structural Dynamics, 27 (11). pp. 1331-1346. ISSN 0098-8847. doi:10.1002/(SICI)1096-9845(1998110)27:11<1331::AID-EQE787>3.0.CO;2-G.

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A probability-based robust control design methodology is presented that is applied to the 'benchmark system', which is a high-fidelity model of an active-mass-driver laboratory structure. For the controller design, the objective is to maximize the probability that the uncertain structure/controller system achieves satisfactory performance when subject to uncertain excitation. The controller's robust performance is computed for a set of possible models by weighting the conditional performance probability for a particular model with the probability of that model, then integrating over the set of possible models. This is accomplished in an efficient manner using an asymptotic approximation. The probable performance is then maximized over the class of constant-gain acceleration-feedback controllers to find the optimal controller. This control design method is applied to a reduced-order model of the benchmark system to obtain four controllers, two that are designed on the basis of a 'nominal' system model and two 'robust' ones that consider model uncertainty. The performance is evaluated for the closed-loop systems that are subject to various excitations.

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Additional Information:© 1998 John Wiley & Sons, Ltd. Received 12 July 1997, Revised 2 December 1997. Contract/grant sponsor: National Science Foundation; Contract/grant number: CMS-9503370. This paper is based upon work supported by the National Science Foundation under subcontract to grant CMS-9503370. This support is gratefully acknowledged.
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Subject Keywords:active mass driver; benchmark structure; structural control; robust control; probabilistic control
Issue or Number:11
Record Number:CaltechAUTHORS:20120829-152231488
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33689
Deposited By: Carmen Nemer-Sirois
Deposited On:30 Aug 2012 22:26
Last Modified:09 Nov 2021 21:36

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