Application of Continuous-Discrete Conversion and Balanced Truncation Algorithm to the Order Reduction Problem of Unstable Systems

Authors

  • Ngo Kien Trung Hanoi Industrial Textile Garment University, Hanoi, Vietnam
  • Vu Thi Anh Ngoc Technical and Economic College, Thai Nguyen, Vietnam
  • Nguyen Thi Tham Technical and Economic College, Thai Nguyen, Vietnam
  • Vu Ngoc Kien Research Development Institute of Advanced Industrial Technology (RIAT), Thai Nguyen University of Technology, Thai Nguyen, Vietnam
Volume: 15 | Issue: 1 | Pages: 20447-20451 | February 2025 | https://doi.org/10.48084/etasr.9586

Abstract

Since the model order reduction problem was first posed, numerous order reduction algorithms have been proposed in a variety of approaches. However, the majority of these algorithms have been developed to reduce the order of stable systems. In certain practical applications, such as high-order controller design, the original system may be unstable. Consequently, there is a need for order reduction algorithms capable of reducing the order of both stable and unstable systems. The present paper focuses on introducing a Continuous-Discrete (CD) transformation-based Balanced Truncation (BT) algorithm, which has the capacity to reduce the order of both stable and unstable systems. The efficiency of the improved BT algorithm is demonstrated by the simulation results.

Keywords:

model order reduction, high-order controller, balanced truncation algorithm, stable system, unstable system

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How to Cite

[1]
Trung , N.K., Ngoc, V.T.A., Tham, N.T. and Kien, V.N. 2025. Application of Continuous-Discrete Conversion and Balanced Truncation Algorithm to the Order Reduction Problem of Unstable Systems. Engineering, Technology & Applied Science Research. 15, 1 (Feb. 2025), 20447–20451. DOI:https://doi.org/10.48084/etasr.9586.

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