Improved model order reduction techniques with error bounds

References

• Abbasi, S., Mahmood, A., Khaliq, A., & Imran, M. (2022). Reduced order modeling and simulation of a bio-inspired gust mitigating flapping wing UAV. International Journal of Intelligent Robotics and Applications, 6(4), 587–601. https://doi.org/10.1007/s41315-022-00247-x
   Web of Science ®Google Scholar
• Batool, S., Imran, M., ELAHI, E., MAQBOOL, A., & GILANI, S. A. A. (2021). Development of an improved frequency limited model order reduction technique and error bound for discrete-time systems. Radioengineering, 30(4), 729–738. https://doi.org/10.13164/re
   Web of Science ®Google Scholar
• Batool, S., Imran, M., Imran, M., & Ahmad, M. I. (2022). Development of model reduction framework for continuous-time weighted and limited-interval systems. Arabian Journal for Science and Engineering, 47(11), 14745–14756. https://doi.org/10.1007/s13369-022-06993-1
   Web of Science ®Google Scholar
• Burohman, A. M., Besselink, B., Scherpen, J. M., & Camlibel, M. K. (2023). From data to reduced-order models via generalized balanced truncation. IEEE Transactions on Automatic Control, 68(10), 6160–6175. https://doi.org/10.1109/TAC.2023.3238856
   Web of Science ®Google Scholar
• Cai, L. J., & Chang, X. H. (2023). Reduced-order filtering for discrete-time singular systems under fading channels. International Journal of Systems Science, 54(1), 99–112. https://doi.org/10.1080/00207721.2022.2104401
   Web of Science ®Google Scholar
• Chahlaoui, Y., & Van Dooren, P. (2002). A collection of benchmark examples for model reduction of linear time invariant dynamical systems. http://www.icm.tu-bs.de/NICONET/reports.html
   Google Scholar
• Du, X., Iqbal, K. I. B., Uddin, M. M., Fony, A. M., Hossain, M. T., Ahmad, M. I., & Hossain, M. S. (2021). Computational techniques for H2 optimal frequency-limited model order reduction of large-scale sparse linear systems. Journal of Computational Science, 55, 101473. https://doi.org/10.1016/j.jocs.2021.101473
   Web of Science ®Google Scholar
• Enns, D. F. (1984). Model reduction with balanced realizations: An error bound and a frequency weighted generalization. In The 23rd ieee conference on decision and control (pp. 127–132). IEEE Xplore.
   Google Scholar
• Gawronski, W., & Juang, J. N. (1990). Model reduction in limited time and frequency intervals. International Journal of Systems Science, 21(2), 349–376. https://doi.org/10.1080/00207729008910366
   Web of Science ®Google Scholar
• Ghafoor, A., & Imran, M. (2015). A frequency limited interval gramians-based model reduction technique with error bounds. Circuits, Systems, and Signal Processing, 34(11), 3505–3519. https://doi.org/10.1007/s00034-015-0031-7
   Web of Science ®Google Scholar
• Ghafoor, A., & Imran, M. (2017). Frequency limited model reduction techniques with error bounds. IEEE Transactions on Circuits and Systems II: Express Briefs, 65(1), 86–90.
   Web of Science ®Google Scholar
• Ghafoor, A., & Imran, M. (2021). Stability preserving model reduction technique for 1-D and 2-D systems with error bounds. IEEE Transactions on Circuits and Systems II: Express Briefs, 69(3), 1084–1088.
   Web of Science ®Google Scholar
• Ghafoor, A., & Sreeram, V. (2007). Partial-fraction expansion based frequency weighted model reduction technique with error bounds. IEEE Transactions on Automatic Control, 52(10), 1942–1948. https://doi.org/10.1109/TAC.2007.906231
   Web of Science ®Google Scholar
• Ghafoor, A., & Sreeram, V. (2008). A survey/review of frequency-weighted balanced model reduction techniques. Journal of Dynamic Systems, Measurement and Control, 130(6), 061004. https://doi.org/10.1115/1.2977468
   Web of Science ®Google Scholar
• Gugercin, S., & Antoulas, A. C. (2004). A survey of model reduction by balanced truncation and some new results. International Journal of Control, 77(8), 748–766. https://doi.org/10.1080/00207170410001713448
   Web of Science ®Google Scholar
• Hamdani, S. F., Imran, M., & Imran, M. (2022). Time-limited Gramians based model reduction framework for 1-D and 2-D systems. International Journal of Control, Automation and Systems, 20(11), 3540–3548. https://doi.org/10.1007/s12555-021-0764-y
   Web of Science ®Google Scholar
• Imran, M. (2022). Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure. Journal of the Franklin Institute, 359(12), 6438–6466. https://doi.org/10.1016/j.jfranklin.2022.06.032
   Web of Science ®Google Scholar
• Imran, M. (2023). Transformation of two-dimensional roesser model into two-Dimensional decoupled model: Application to model reduction via balanced framework. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 53(9), 5356–5368. https://doi.org/10.1109/TSMC.2023.3268202
   Web of Science ®Google Scholar
• Imran, M., Ghafoor, A., & Sreeram, V. (2014). A frequency weighted model order reduction technique and error bounds. Automatica, 50(12), 3304–3309. https://doi.org/10.1016/j.automatica.2014.10.062
   Web of Science ®Google Scholar
• Imran, M., & Imran, M. (2022a). Model order reduction framework for discrete-time systems with error bound via balanced structure. International Journal of Systems Science, 53(14), 3081–3094. https://doi.org/10.1080/00207721.2022.2070792
   Web of Science ®Google Scholar
• Imran, M., & Imran, M. (2022b). Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models. International Journal of Systems Science, 54(3), 491–503. https://doi.org/10.1080/00207721.2022.2128702
   Web of Science ®Google Scholar
• Jin, H., Xiao, Z. H., Song, Q. Y., & Qi, Z. Z. (2023). Structure-preserving model order reduction for K-power bilinear systems via Laguerre functions. International Journal of Systems Science, 54(1), 1–16. https://doi.org/10.1080/00207721.2022.2093421
   Google Scholar
• Li, Z., & Jiang, Y. L. (2022). Parallel input-independent model order reduction for discrete-time parametric systems. IEEE Transactions on Automatic Control, 68(7), 4359–4366.
   Web of Science ®Google Scholar
• Li, Z., & Jiang, Y. L. (2023). Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems. International Journal of Systems Science, 54(3), 594–606. https://doi.org/10.1080/00207721.2022.2135419
   Web of Science ®Google Scholar
• Li, Z., Jiang, Y. L., & Mu, H. L. (2021). Parametric model order reduction based on parallel tensor compression. International Journal of Systems Science, 52(11), 2201–2216. https://doi.org/10.1080/00207721.2021.1880665
   Web of Science ®Google Scholar
• Liang, W., Chen, H. B., He, G., & Chen, J. (2019). Model order reduction based on dynamic relative gain array for MIMO systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 67(11), 2507–2511.
   Web of Science ®Google Scholar
• Lin, C. A., & Chiu, T. Y. (1990). Model reduction via frequency weighted balanced realization. In 1990 american control conference (pp. 2069–2070). IEEE Xplore.
   Google Scholar
• Ren, Y., & Wang, Q. (2023). Frequency-Limited model reduction for linear positive systems: A successive optimization method. Applied Sciences, 13(6), 4039. https://doi.org/10.3390/app13064039
   Google Scholar
• Schröder, C., & Voigt, M. (2023). Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value. Journal of Computational and Applied Mathematics, 420, 114708. https://doi.org/10.1016/j.cam.2022.114708
   Web of Science ®Google Scholar
• Sreeram, V. (2004). An improved frequency weighted balancing related technique with error bounds. In 2004 43rd ieee conference on decision and control (cdc)(ieee cat. no. 04ch37601) (Vol. 3, pp. 3084–3089). Nassau.
   Google Scholar
• Toor, H. I., Imran, M., Ghafoor, A., Kumar, D., Sreeram, V., & Rauf, A. (2019). Frequency limited model reduction techniques for discrete-time systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 67(2), 345–349.
   Web of Science ®Google Scholar
• Toor, H. I., Imran, M., Ghafoor, A., Zeeshan, M., & Rauf, A. (2018). Improved frequency limited model reduction. In 2018 ieee conference on systems, process and control (icspc) (pp. 17–22). Melaka.
   Google Scholar
• Varga, A., & Anderson, B. D. (2003). Accuracy-enhancing methods for balancing-related frequency-weighted model and controller reduction. Automatica, 39(5), 919–927. https://doi.org/10.1016/S0005-1098(03)00030-X
   Web of Science ®Google Scholar
• Wang, G., Sreeram, V., & Liu, W. (1999). A new frequency-weighted balanced truncation method and an error bound. IEEE Transactions on Automatic Control, 44(9), 1734–1737. https://doi.org/10.1109/9.788542
   Web of Science ®Google Scholar