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Model order reduction methods
- Publisher
- Wiley
- Copyright
- © 2023 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
- ISSN
- 1561-8625
- eISSN
- 1934-6093
- DOI
- 10.1002/asjc.3131
- Publisher site
- See Article on Publisher Site
Abstract
Accumulative error along with time impedes the application of many computational methods on high‐precision simulation; therefore, time‐interval methods emerge. In this paper, a new model reduction method of quadratic‐bilinear (QB) systems based on time‐interval Gramians (TIGs) is presented. The conditions for generalized Lyapunov equations whose solutions are exactly TIGs to be solvable are derived. Lyapunov stability and error bound are discussed to demonstrate the succession and advance of time‐interval balanced truncation (TIBT). The accuracy and robustness are improved, as is illustrated in numerical results.
Journal
Asian Journal of Control – Wiley
Published: Nov 1, 2023
Keywords: balanced truncation; error bound; model order reduction; quadratic‐bilinear systems; stability; time interval