Application of Continuous-Discrete Conversion and Balanced Truncation Algorithm to the Order Reduction Problem of Unstable Systems
Received: 12 November 2024 | Revised: 7 December 2024, 19 December 2024, and 28 December 2024 | Accepted: 1 January 2025 | Online: 2 February 2025
Corresponding author: Vu Ngoc Kien
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 systemDownloads
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Copyright (c) 2025 Ngo Kien Trung , Vu Thi Anh Ngoc, Nguyen Thi Tham, Vu Ngoc Kien

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