Abstract
This article presents a full mathematical proof of the characteristic modeling approach for high-order linear dynamical systems. It explores the nature of the characteristic model in rigorous mathematical forms, also showing why and how the high-order dynamics can be compressed into the lower-order characteristic model. The relationships between high-order linear continuous dynamical systems, discrete-time characteristic model coefficients, and sampling-time intervals are investigated.
Original language | English |
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Article number | 8931258 |
Pages (from-to) | 5405-5413 |
Number of pages | 9 |
Journal | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
Volume | 51 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2021 |
Externally published | Yes |
Keywords
- Compression
- linear systems
- mathematical modeling
- order-reduction
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Chen, L., Yu, X., & Sun, C. (2021). Characteristic Modeling Approach for High-Order Linear Dynamical Systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(9), 5405-5413. Article 8931258. https://doi.org/10.1109/TSMC.2019.2956484