Abstract
Many of the commonly used methods in model-order reduction do not guarantee stability of the reduced-order model. This article extends the eigenvalue reassignment method of stabilization of linear time-invariant ROMs, to the more general case of linear time-varying systems. Through a postprocessing step, the ROM is controlled to ensure the stability while enhancing/maintaining its accuracy using a constrained nonlinear lease-square minimization problem. The controller and the input signals are defined at the algebraic level, using left and right singular vectors of the reduced system matrices. The choice provides a control on the upper bound of the growth of the energy of the reduced system. The optimization problem is applied to several time-invariant, time-periodic, and time-varying problems, and the reproductive and predictive capabilities of the proposed method, with respect to novel inputs and the system parameters, are evaluated.
Original language | English (US) |
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Pages (from-to) | 5490-5510 |
Number of pages | 21 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 121 |
Issue number | 24 |
DOIs | |
State | Published - Dec 30 2020 |
Keywords
- linear time-invariant
- linear time-periodic
- linear time-varying
- reduced-order model
- singular value decomposition
- stabilization
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics