Name
Title | ||
|---|---|---|
Continuous Time Lti Systems Under Lossless Positive Real Transformations: Open-Loop Balanced Representation And Truncated Reduced-Order Models |
Abstract | ||
|---|---|---|
In this paper, new results on the open-loop balanced representation of continuous time linear time-invariant systems are reported. More particularly, the effect of lossless positive real transformations on open-loop balanced representations is investigated with specific attention to the problem of model order reduction. The properties of systems where a lossless positive real transformation has been applied are discussed showing that, if the original system is open-loop balanced, the resulting transformed system is still open-loop balanced. Furthermore, the singular values of the transformed system are related to those of the original one. These results allow to derive a model order reduction strategy for this class of systems that leads to a consistent decrease of the numerical complexity. The proposed approach reveals to be of particular interest for the design of reduced-order systems with specific amplitude responses, including analog multiband filters. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1080/00207179.2016.1208368 | INTERNATIONAL JOURNAL OF CONTROL |
Keywords | Field | DocType |
Continuous time LTI systems, model order reduction, open-loop balanced realisation, lossless positive real transformation | Singular value,Model order reduction,Control theory,Amplitude,Open-loop controller,Mathematics,Lossless compression | Journal |
Volume | Issue | ISSN |
90 | 7 | 0020-7179 |
Citations | PageRank | References |
3 | 0.44 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arturo Buscarino | 1 | 101 | 26.01 |
| Luigi Fortuna | 2 | 761 | 128.37 |
| Mattia Frasca | 3 | 313 | 60.35 |
| Maria Gabriella Xibilia | 4 | 56 | 13.66 |