This paper analyses robust performance measures for linear time-invariant systems with norm-bounded time-varying structured uncertainty. We consider two robust performance measures. One is the worst-case peak value of the error signal in response to the disturbance with a known energy. The other is
Uncertainty analysis of complex structural systems
✍ Scribed by G. I. Schuëller; H. J. Pradlwarter
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 956 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2549
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✦ Synopsis
Abstract
In this paper methods for uncertainty propagation for complex structural systems are discussed. Only a limited class of methods is available for this purpose. It is shown that only numerical procedures allow the uncertainty assessment and reliability estimation of such systems. In particular, the perturbation procedure, the Karhunen–Loève reduction scheme, the polynomial chaos expansion, direct and advanced Monte Carlo simulation (MCS), as well as random matrix theory meet these requirements. It is shown that advanced MCS procedures proved to be the most versatile approach. Copyright © 2009 John Wiley & Sons, Ltd.
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