Model order reduction for bilinear control systems with inhomogeneous initial conditions
| Autor: | Xingang Cao, Peter Benner, Wil H. A. Schilders, Igor Pontes Duff |
|---|---|
| Přispěvatelé: | Center for Analysis, Scientific Computing & Appl., EAISI High Tech Systems, EIRES |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Model order reduction
0209 industrial biotechnology Work (thermodynamics) approximation of matrix exponential function Volterra series bilinear control system kernel energy averaging 02 engineering and technology Computer Science Applications 020901 industrial engineering & automation Control and Systems Engineering Bilinear control 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing inhomogeneous initial condition Mathematics |
| Zdroj: | International Journal of Control International Journal of Control, 94(10), 2886-2895. Taylor and Francis Ltd. |
| ISSN: | 0020-7179 |
| DOI: | 10.1080/00207179.2020.1740945 |
| Popis: | This work focuses on the model order reduction problem for bilinear control systems with nonzero initial conditions. Based on the Volterra series analysis, the system response can be decomposed into three parts. The first two parts are the zero input response and zero initial condition response of the system. The third part describes the response which couples the effect of the nonzero initial condition and the nonzero input. The system corresponding to the third part is a bilinear control system with a special time-varying input coefficient matrix. We show that such a system is equivalent to a time-invariant bilinear control system, and conventional model reduction methods can be applied to reduce it. We propose to reduce each of the component responses independently and then combine them to approximate the full system response. This method is of high flexibility and shows promising results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|