Scopus

Efficient Simulation of Large-scale Electrical Circuits With Mixed Balanced Truncation Algorithm

Năm XB 2025 Tạp chí / Hội thảo International Journal of Control, Automation and Systems Volume 23 (4) DOI / Link https://doi.org/10.1007/s12555-024-0672-z ↗

Tác giả

Tài liệu tham khảo

[1] D. C. Oh and E. T. Jeung, “Model reduction for the descriptor systems by linear matrix inequalities,” International Journal of Control, Automation, and Systems, vol. 8, pp. 875–881, 2010.

[2] M. Hinze, J. N. Kutz, O. Mula, and K. Urban, Model Order Reduction and Applications: Cetraro, Italy 2021, Springer Nature, vol. 2328, 2023.

[3] P. Benner, S. Grivet-Talocia, A. Quarteroni, G. Rozza, W. Schilders, and L. M. Silveira, System- and Data-driven Methods and Algorithms, De Gruyter, 2021.

[4] P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza, and L. Miguel Silveira, Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms, De Gruyter, 2020.

[5] P. Benner, W. Schilders, S. Grivet-Talocia, A. Quarteroni, G. Rozza, and L. Miguel Silveira, Model Order Reduction: Volume 3: Applications, De Gruyter, 2020.

[6] M. Alizadeh, A. Ramezani, and H. Saadatinezhad, “Fault tolerant control in an unmanned bicycle robot via sliding mode theory,” IET Cyber-Systems and Robotics, vol. 4, no. 2, pp. 139–152, 2022.

[7] M. Alizadeh, M. H. Samaei, M. V. Estakhri, H. Momeni, and M. T. Beheshti, “Robust trajectory tracking of a 3-DOF robotic arm using a super-twisting fast finite time nonsingular terminal sliding mode control in the presence of perturbations,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 238, no. 7, pp. 1285–1295, 2024.

[8] B. Moore, “Principal component analysis in linear systems: Controllability, observability, and model reduction,” IEEE Transactions on Automatic Control, vol. 26, no. 1, pp. 17–32, 1981.

[9] Fatmawati, R. Saragih, R. T. Bambang, and Y. Soeharyadi, “Balanced truncation for unstable infinite dimensional systems via reciprocal transformation,” International Journal of Control, Automation, and Systems, vol. 9, pp. 249–257, 2011.

[10] A. C. Antoulas, Approximation of Large-scale Dynamical Systems, SIAM, 2005.

[11] V. Mehrmann and T. Stykel, “Balanced truncation model reduction for large-scale systems in descriptor form,” in P. Benner, D. C. Sorensen, and V. Mehrmann, Eds., Dimension Reduction of Large-Scale Systems, vol. 45, Lecture Notes in Computational Science and Engineering, Springer, Berlin, Heidelberg, pp. 83–115, 2005.

[12] S. Tan and L. He, Advanced Model Order Reduction Techniques in VLSI Design, Cambridge University Press, 2007.

[13] T. Reis and T. Stykel, “Positive real and bounded real balancing for model reduction of descriptor systems,” International Journal of Control, vol. 83, no. 1, pp. 74–88, 2010.

[14] P. Benner and T. Stykel, “Model order reduction for differential-algebraic equations: A survey,” in A. Ilchmann and T. Reis, Eds., Surveys in Differential-Algebraic Equations IV, Springer, Cham, Switzerland, pp. 107–160, 2017.

[15] L. Poort, B. Besselink, R. H. B. Fey, and N. van de Wouw, “Passivity-preserving, balancing-based model reduction for interconnected systems,” IFAC-PapersOnLine, vol. 56, no. 2, pp. 4240–4245, 2023.

[16] J. Phillips, L. Daniel, and L. M. Silveira, “Guaranteed passive balancing transformations for model order reduction,” Proc. of the 39th Annual Design Automation Conference, pp. 52–57, 2002.

[17] K. Unneland, P. Van Dooren, and O. Egeland, “A novel scheme for positive real balanced truncation,” Proc. of 2007 American Control Conference, IEEE, pp. 947–952, 2007.

[18] K. Unneland, P. Van Dooren, and O. Egeland, “New schemes for positive real truncation,” Modeling, Identification and Control, vol. 28, no. 1, pp. 53–65, 2007.

[19] U. Zulfiqar, W. Tariq, L. Li, and M. Liaquat, “A passivity-preserving frequency-weighted model order reduction technique,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 64, no. 11, pp. 1327–1331, 2017.

[20] U. Zulfiqar, M. Imran, A. Ghafoor, and M. Liaqat, “Time/frequency-limited positive-real truncated balanced realizations,” IMA Journal of Mathematical Control and Information, vol. 37, no. 1, pp. 64–81, 2020.

[21] M. Günther, U. Feldmann, and J. ter Maten, “Modelling and discretization of circuit problems,” Handbook of Numerical Analysis, vol. 13, pp. 523–659, 2005.

[22] R. Bairamkulov and E. Friedman, “Circuit analysis,” Graphs in VLSI, Springer, Cham, 2023.

[23] K. Mohaghegh, Linear and Nonlinear Model Order Reduction for Numerical Simulation of Electric Circuits, Logos Verlag, Berlin GmbH, 2010.

[24] A. C. Antoulas, “Model order reduction: Methods, concepts and properties,” Coupled Multiscale Simulation and Optimization in Nanoelectronics, pp. 159–265, 2015.