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Structural Engineering and Mechanics Volume 17, Number 3, March 2004 , pages 593-609 DOI: https://doi.org/10.12989/sem.2004.17.3_4.593 |
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Controller optimization with constraints on probabilistic peak responses |
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Ji-Hun Park, Kyung-Won Min and Hong-Gun Park
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| Abstract | ||
| Peak response is a more suitable index than mean response in the light of structural safety. In this study, a controller optimization method is proposed to restrict peak responses of building structures subject to earthquake excitations, which are modeled as partially stationary stochastic process. The constraints are given with specified failure probabilities of peak responses. LQR is chosen to assure stability in numerical process of optimization. Optimization problem is formulated with weightings on controlled outputs as design variables and gradients of objective and constraint functions are derived. Full state feedback controllers designed by the proposed method satisfy various design objectives and output feedback controllers using LQG also yield similar results without significant performance deterioration. | ||
| Key Words | ||
| stochastic process; crossing rate; failure probability; optimization; linear quadratic regulator. | ||
| Address | ||
| Ji-Hun Park; MIDASIT Co., Ltd., Seoul, Korea Kyung-Won Min; Department of Architectural Engineering, Dankook University, Seoul, Korea Hong-Gun Park; Department of Architecture, Seoul National University, Korea | ||